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@article{DBLP:journals/aam/Fulman24,
author = {Jason Fulman},
title = {Carries and a map on the space of rational functions},
journal = {Adv. Appl. Math.},
volume = {152},
pages = {102600},
year = {2024},
url = {https://doi.org/10.1016/j.aam.2023.102600},
doi = {10.1016/J.AAM.2023.102600},
timestamp = {Thu, 12 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aam/Fulman24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cam/HassnainS24,
author = {Syed Irtaza Hassnain and
Wutiphol Sintunavarat},
title = {On refined rational convex contractions with applications to matrix
and implicit functional integral equations},
journal = {Comput. Appl. Math.},
volume = {43},
number = {2},
pages = {89},
year = {2024},
url = {https://doi.org/10.1007/s40314-024-02600-1},
doi = {10.1007/S40314-024-02600-1},
timestamp = {Mon, 11 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cam/HassnainS24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijfcs/FiliotW24,
author = {Emmanuel Filiot and
Sarah Winter},
title = {Synthesizing Computable Functions from Rational Specifications Over
Infinite Words},
journal = {Int. J. Found. Comput. Sci.},
volume = {35},
number = {1{\&}2},
pages = {179--214},
year = {2024},
url = {https://doi.org/10.1142/S012905412348009X},
doi = {10.1142/S012905412348009X},
timestamp = {Mon, 01 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijfcs/FiliotW24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tinstmc/DamodaranKS24,
author = {Suraj Damodaran and
T. K. Sunil Kumar and
A. P. Sudheer},
title = {Generalized method for rational approximation of {SISO/MIMO} fractional-order
systems using squared magnitude function},
journal = {Trans. Inst. Meas. Control},
volume = {46},
number = {2},
pages = {207--222},
year = {2024},
url = {https://doi.org/10.1177/01423312231175996},
doi = {10.1177/01423312231175996},
timestamp = {Fri, 26 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tinstmc/DamodaranKS24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/soda/LiX24,
author = {Songsong Li and
Chaoping Xing},
editor = {David P. Woodruff},
title = {Fast Fourier transform via automorphism groups of rational function
fields},
booktitle = {Proceedings of the 2024 {ACM-SIAM} Symposium on Discrete Algorithms,
{SODA} 2024, Alexandria, VA, USA, January 7-10, 2024},
pages = {3836--3859},
publisher = {{SIAM}},
year = {2024},
url = {https://doi.org/10.1137/1.9781611977912.135},
doi = {10.1137/1.9781611977912.135},
timestamp = {Thu, 04 Apr 2024 19:38:10 +0200},
biburl = {https://dblp.org/rec/conf/soda/LiX24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2402-07328,
author = {Carlos E. Arreche and
Hari P. Sitaula},
title = {Computing discrete residues of rational functions},
journal = {CoRR},
volume = {abs/2402.07328},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2402.07328},
doi = {10.48550/ARXIV.2402.07328},
eprinttype = {arXiv},
eprint = {2402.07328},
timestamp = {Fri, 16 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2402-07328.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-04390,
author = {Angelo A. Casulli and
Igor Simunec},
title = {A low-memory Lanczos method with rational Krylov compression for matrix
functions},
journal = {CoRR},
volume = {abs/2403.04390},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.04390},
doi = {10.48550/ARXIV.2403.04390},
eprinttype = {arXiv},
eprint = {2403.04390},
timestamp = {Wed, 03 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-04390.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/GavinT24,
author = {G{\'{e}}rald Gavin and
Sandrine Tainturier},
title = {Designing homomorphic encryptions with rational functions},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {21},
year = {2024},
url = {https://eprint.iacr.org/2024/021},
timestamp = {Tue, 16 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/iacr/GavinT24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/ChoupanzadehZ23,
author = {Rasul Choupanzadeh and
Ata Zadehgol},
title = {Stability, Causality, and Passivity of Canonical Equivalent Circuits
for Improper Rational Transfer Functions - Part {II:} With Complex-Conjugate
Poles and Residues},
journal = {{IEEE} Access},
volume = {11},
pages = {108995--109009},
year = {2023},
url = {https://doi.org/10.1109/ACCESS.2023.3321631},
doi = {10.1109/ACCESS.2023.3321631},
timestamp = {Fri, 27 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/access/ChoupanzadehZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amco/PratiharR23,
author = {Rakhi Pratihar and
Tovohery Hajatiana Randrianarisoa},
title = {Constructions of optimal rank-metric codes from automorphisms of rational
function fields},
journal = {Adv. Math. Commun.},
volume = {17},
number = {1},
pages = {262--287},
year = {2023},
url = {https://doi.org/10.3934/amc.2022034},
doi = {10.3934/AMC.2022034},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amco/PratiharR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/TaghavianDJ23,
author = {Hamed Taghavian and
Ross Drummond and
Mikael Johansson},
title = {Logarithmically completely monotonic rational functions},
journal = {Autom.},
volume = {155},
pages = {111122},
year = {2023},
url = {https://doi.org/10.1016/j.automatica.2023.111122},
doi = {10.1016/J.AUTOMATICA.2023.111122},
timestamp = {Tue, 12 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/automatica/TaghavianDJ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/axioms/AlahmadiPR23,
author = {Jihan Alahmadi and
Miroslav S. Pranic and
Lothar Reichel},
title = {Pole Allocation for Rational Gauss Quadrature Rules for Matrix Functionals
Defined by a Stieltjes Function},
journal = {Axioms},
volume = {12},
number = {2},
pages = {105},
year = {2023},
url = {https://doi.org/10.3390/axioms12020105},
doi = {10.3390/AXIOMS12020105},
timestamp = {Sat, 11 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/axioms/AlahmadiPR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cbm/BouaziziBM23,
author = {Hala Bouazizi and
Isabelle Brunette and
Jean Meunier},
title = {Comparison of polynomial and rational function cornea models for effective
dimensionality reduction},
journal = {Comput. Biol. Medicine},
volume = {167},
pages = {107635},
year = {2023},
url = {https://doi.org/10.1016/j.compbiomed.2023.107635},
doi = {10.1016/J.COMPBIOMED.2023.107635},
timestamp = {Sat, 13 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cbm/BouaziziBM23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cg/SaitoY23,
author = {Takafumi Saito and
Norimasa Yoshida},
title = {Curvature monotonicity evaluation functions on rational B{\'{e}}zier
curves},
journal = {Comput. Graph.},
volume = {114},
pages = {219--228},
year = {2023},
url = {https://doi.org/10.1016/j.cag.2023.05.019},
doi = {10.1016/J.CAG.2023.05.019},
timestamp = {Mon, 18 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cg/SaitoY23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cssp/RaoMZ23,
author = {Hangmei Rao and
Wen Mi and
Wei Xing Zheng},
title = {Identification of Discrete Wiener Systems by Using Adaptive Generalized
Rational Orthogonal Basis Functions},
journal = {Circuits Syst. Signal Process.},
volume = {42},
number = {8},
pages = {4603--4620},
year = {2023},
url = {https://doi.org/10.1007/s00034-023-02345-y},
doi = {10.1007/S00034-023-02345-Y},
timestamp = {Tue, 25 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cssp/RaoMZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dcc/BartoliFG23,
author = {Daniele Bartoli and
Giuliana Fatabbi and
Francesco Ghiandoni},
title = {On the exceptionality of rational {APN} functions},
journal = {Des. Codes Cryptogr.},
volume = {91},
number = {10},
pages = {3167--3186},
year = {2023},
url = {https://doi.org/10.1007/s10623-023-01246-0},
doi = {10.1007/S10623-023-01246-0},
timestamp = {Wed, 01 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dcc/BartoliFG23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dcg/Rambau23,
author = {J{\"{o}}rg Rambau},
title = {The Visible-Volume Function of a Set of Cameras is Continuous, Piecewise
Rational, Locally Lipschitz, and Semi-Algebraic in All Dimensions},
journal = {Discret. Comput. Geom.},
volume = {70},
number = {3},
pages = {1038--1058},
year = {2023},
url = {https://doi.org/10.1007/s00454-023-00541-w},
doi = {10.1007/S00454-023-00541-W},
timestamp = {Wed, 01 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dcg/Rambau23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcta/MaE23,
author = {Andrew Ma and
Arif Ege Engin},
title = {Orthogonal rational approximation of transfer functions for high-frequency
circuits},
journal = {Int. J. Circuit Theory Appl.},
volume = {51},
number = {3},
pages = {1007--1019},
year = {2023},
url = {https://doi.org/10.1002/cta.3488},
doi = {10.1002/CTA.3488},
timestamp = {Sat, 13 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcta/MaE23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmmsc/RasriP23,
author = {Arnisa Rasri and
Jiraphorn Somsuwan Phanwan},
title = {Some Inequalities Involving the Derivative of Rational Functions},
journal = {Int. J. Math. Math. Sci.},
volume = {2023},
pages = {5541585:1--5541585:8},
year = {2023},
url = {https://doi.org/10.1155/2023/5541585},
doi = {10.1155/2023/5541585},
timestamp = {Fri, 27 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijmmsc/RasriP23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jacm/Jiang23,
author = {Haotian Jiang},
title = {Minimizing Convex Functions with Rational Minimizers},
journal = {J. {ACM}},
volume = {70},
number = {1},
pages = {5:1--5:27},
year = {2023},
url = {https://doi.org/10.1145/3566050},
doi = {10.1145/3566050},
timestamp = {Sat, 25 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jacm/Jiang23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/KalmykovL23,
author = {Sergei Kalmykov and
Alexey Lukashov},
title = {Estimates of Lebesgue constants for Lagrange interpolation processes
by rational functions under mild restrictions to their fixed poles},
journal = {J. Approx. Theory},
volume = {291},
pages = {105909},
year = {2023},
url = {https://doi.org/10.1016/j.jat.2023.105909},
doi = {10.1016/J.JAT.2023.105909},
timestamp = {Thu, 21 Dec 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/KalmykovL23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/GuerriniLLZ23,
author = {Eleonora Guerrini and
Kamel Lairedj and
Romain Lebreton and
Ilaria Zappatore},
title = {Simultaneous Rational Function Reconstruction with errors: Handling
multiplicities and poles},
journal = {J. Symb. Comput.},
volume = {116},
pages = {345--364},
year = {2023},
url = {https://doi.org/10.1016/j.jsc.2022.10.007},
doi = {10.1016/J.JSC.2022.10.007},
timestamp = {Wed, 04 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/GuerriniLLZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcs/SunDB23,
author = {Ligang Sun and
Roeland J. Dilz and
Martijn C. van Beurden},
title = {A rational-expansion-based method to compute Gabor coefficients of
2D indicator functions supported on polygonal domain},
journal = {Math. Comput. Simul.},
volume = {206},
pages = {487--502},
year = {2023},
url = {https://doi.org/10.1016/j.matcom.2022.12.004},
doi = {10.1016/J.MATCOM.2022.12.004},
timestamp = {Sat, 13 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mcs/SunDB23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mma/BalciunasLS23,
author = {Aidas Balciunas and
Antanas Laurincikas and
Mindaugas Stoncelis},
title = {On a Dirichlet Series Connected to a periodic Hurwitz zeta-function
with Transcendental and rational parameter},
journal = {Math. Model. Anal.},
volume = {28},
number = {1},
pages = {91--101},
year = {2023},
url = {https://doi.org/10.3846/mma.2023.17222},
doi = {10.3846/MMA.2023.17222},
timestamp = {Sat, 25 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mma/BalciunasLS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/npl/HeZD23,
author = {Jilong He and
Zhoushun Zheng and
Changfa Du},
title = {A New Constructing Rational Functions Method For Solving Lane-Emden
Type Equations},
journal = {Neural Process. Lett.},
volume = {55},
number = {2},
pages = {1889--1918},
year = {2023},
url = {https://doi.org/10.1007/s11063-022-10968-6},
doi = {10.1007/S11063-022-10968-6},
timestamp = {Fri, 08 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/npl/HeZD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pmh/Ugolini23,
author = {Simone Ugolini},
title = {Correction to: Functional graphs of rational maps induced by endomorphisms
of ordinary elliptic curves over finite fields},
journal = {Period. Math. Hung.},
volume = {87},
number = {2},
pages = {520--521},
year = {2023},
url = {https://doi.org/10.1007/s10998-023-00552-3},
doi = {10.1007/S10998-023-00552-3},
timestamp = {Sun, 10 Dec 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/pmh/Ugolini23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/remotesensing/ShanZ23,
author = {Xiaojun Shan and
Jingyi Zhang},
title = {Does the Rational Function Model's Accuracy for {GF1} and {GF6} {WFV}
Images Satisfy Practical Requirements?},
journal = {Remote. Sens.},
volume = {15},
number = {11},
pages = {2820},
year = {2023},
url = {https://doi.org/10.3390/rs15112820},
doi = {10.3390/RS15112820},
timestamp = {Sun, 13 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/remotesensing/ShanZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/ChenGMM23,
author = {Tyler Chen and
Anne Greenbaum and
Cameron Musco and
Christopher Musco},
title = {Low-Memory Krylov Subspace Methods for Optimal Rational Matrix Function
Approximation},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {44},
number = {2},
pages = {670--692},
year = {2023},
url = {https://doi.org/10.1137/22m1479853},
doi = {10.1137/22M1479853},
timestamp = {Fri, 18 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/ChenGMM23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/HerremansHT23,
author = {Astrid Herremans and
Daan Huybrechs and
Lloyd N. Trefethen},
title = {Resolution of Singularities by Rational Functions},
journal = {{SIAM} J. Numer. Anal.},
volume = {61},
number = {6},
pages = {2580--2600},
year = {2023},
url = {https://doi.org/10.1137/23m1551821},
doi = {10.1137/23M1551821},
timestamp = {Sun, 10 Dec 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/HerremansHT23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/soco/OzkanH23,
author = {Esma Yildiz {\"{O}}zkan and
Bipan Hazarika},
title = {Approximation results by fuzzy Bernstein type rational functions via
interval-valued fuzzy number},
journal = {Soft Comput.},
volume = {27},
number = {11},
pages = {6893--6901},
year = {2023},
url = {https://doi.org/10.1007/s00500-023-08013-2},
doi = {10.1007/S00500-023-08013-2},
timestamp = {Fri, 02 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/soco/OzkanH23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/MiZZZ23,
author = {Wen Mi and
Liming Zhang and
Wei Xing Zheng and
Sheng Zhang},
title = {Frequency Domain Identification of Continuous-Time Hammerstein Systems
With Adaptive Continuous-Time Rational Orthonormal Basis Functions},
journal = {{IEEE} Trans. Autom. Control.},
volume = {68},
number = {12},
pages = {8044--8051},
year = {2023},
url = {https://doi.org/10.1109/TAC.2023.3254366},
doi = {10.1109/TAC.2023.3254366},
timestamp = {Mon, 08 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tac/MiZZZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcasII/OldoniMGD23,
author = {Matteo Oldoni and
Giuseppe Macchiarella and
Gian Guido Gentili and
Cristina D'Asta},
title = {Analytical Derivation of Scattering and Admittance Rational Functions
From Coupling Matrix},
journal = {{IEEE} Trans. Circuits Syst. {II} Express Briefs},
volume = {70},
number = {7},
pages = {2320--2324},
year = {2023},
url = {https://doi.org/10.1109/TCSII.2023.3241429},
doi = {10.1109/TCSII.2023.3241429},
timestamp = {Thu, 27 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcasII/OldoniMGD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/HautecoeurLGG23,
author = {C{\'{e}}cile Hautecoeur and
Lieven De Lathauwer and
Nicolas Gillis and
Fran{\c{c}}ois Glineur},
title = {Least-Squares Methods for Nonnegative Matrix Factorization Over Rational
Functions},
journal = {{IEEE} Trans. Signal Process.},
volume = {71},
pages = {1712--1724},
year = {2023},
url = {https://doi.org/10.1109/TSP.2023.3260560},
doi = {10.1109/TSP.2023.3260560},
timestamp = {Fri, 02 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tsp/HautecoeurLGG23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/BrisebarreF23,
author = {Nicolas Brisebarre and
Silviu{-}Ioan Filip},
title = {Towards Machine-Efficient Rational L\({}^{\mbox{{\(\infty\)}}}\)-Approximations
of Mathematical Functions},
booktitle = {30th {IEEE} Symposium on Computer Arithmetic, {ARITH} 2023, Portland,
OR, USA, September 4-6, 2023},
pages = {119--126},
publisher = {{IEEE}},
year = {2023},
url = {https://doi.org/10.1109/ARITH58626.2023.00029},
doi = {10.1109/ARITH58626.2023.00029},
timestamp = {Mon, 08 Apr 2024 20:48:38 +0200},
biburl = {https://dblp.org/rec/conf/arith/BrisebarreF23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/JinaduM23,
author = {Ayoola Jinadu and
Michael B. Monagan},
editor = {Fran{\c{c}}ois Boulier and
Matthew England and
Ilias S. Kotsireas and
Timur M. Sadykov and
Evgenii V. Vorozhtsov},
title = {Solving Parametric Linear Systems Using Sparse Rational Function Interpolation},
booktitle = {Computer Algebra in Scientific Computing - 25th International Workshop,
{CASC} 2023, Havana, Cuba, August 28 - September 1, 2023, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {14139},
pages = {233--254},
publisher = {Springer},
year = {2023},
url = {https://doi.org/10.1007/978-3-031-41724-5\_13},
doi = {10.1007/978-3-031-41724-5\_13},
timestamp = {Fri, 25 Aug 2023 20:38:37 +0200},
biburl = {https://dblp.org/rec/conf/casc/JinaduM23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/PootPKO23,
author = {Maurice Poot and
Jim Portegies and
Dragan Kostic and
Tom Oomen},
title = {Rational Basis Functions in Iterative Learning Control for Multivariable
Systems},
booktitle = {62nd {IEEE} Conference on Decision and Control, {CDC} 2023, Singapore,
December 13-15, 2023},
pages = {4644--4649},
publisher = {{IEEE}},
year = {2023},
url = {https://doi.org/10.1109/CDC49753.2023.10383932},
doi = {10.1109/CDC49753.2023.10383932},
timestamp = {Mon, 29 Jan 2024 17:30:32 +0100},
biburl = {https://dblp.org/rec/conf/cdc/PootPKO23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icatech/Juric23,
author = {Zeljko Juric},
title = {A Simple and Elegant Method for Computing the Inverse Z-transform
of Rational Functions},
booktitle = {{XXIX} International Conference on Information, Communication and
Automation Technologies, {ICAT} 2023, Sarajevo, Bosnia and Herzegovina,
June 11-14, 2023},
pages = {1--6},
publisher = {{IEEE}},
year = {2023},
url = {https://doi.org/10.1109/ICAT57854.2023.10171336},
doi = {10.1109/ICAT57854.2023.10171336},
timestamp = {Mon, 24 Jul 2023 15:56:18 +0200},
biburl = {https://dblp.org/rec/conf/icatech/Juric23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icitjo/AloudatAAD23,
author = {Abdelrahman Aloudat and
Fatima S. Al{-}Sha'ar and
Haitham Al{-}Qawaqneh and
Amer Dababneh},
title = {The Bernstein Expansion for Rational Differentiable Functions in Newton
Divided Differences Form},
booktitle = {International Conference on Information Technology, {ICIT} 2023, Amman,
Jordan, August 9-10, 2023},
pages = {719--723},
publisher = {{IEEE}},
year = {2023},
url = {https://doi.org/10.1109/ICIT58056.2023.10226097},
doi = {10.1109/ICIT58056.2023.10226097},
timestamp = {Wed, 06 Sep 2023 16:07:28 +0200},
biburl = {https://dblp.org/rec/conf/icitjo/AloudatAAD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icoms/HamadnehAHZ23,
author = {Tareq Hamadneh and
Ibraheem Abu{-}Falahah and
Mohammad D. Hamadneh and
Amjed Zraiqat},
title = {Bernstein Coefficients for Computing Rational Lyapunov and Control
Functions of Dynamical Systems},
booktitle = {Proceedings of the 2023 6th International Conference on Mathematics
and Statistics, ICoMS 2023, Leipzig, Germany, July 14-16, 2023},
pages = {114--119},
publisher = {{ACM}},
year = {2023},
url = {https://doi.org/10.1145/3613347.3613365},
doi = {10.1145/3613347.3613365},
timestamp = {Sun, 31 Dec 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icoms/HamadnehAHZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/photoptics/Torabi23,
author = {Abdorreza Torabi},
editor = {Domenico de Ceglia and
Maria Raposo and
Paulo A. Ribeiro and
Pablo Albella},
title = {Mode Analysis of Hybrid Plasmonic Waveguide Using Multilayer Spectral
Green's Function and Rational Function Fitting Method},
booktitle = {Proceedings of the 11th International Conference on Photonics, Optics
and Laser Technology, {PHOTOPTICS} 2023, Lisbon, Portugal, February
16-18, 2023},
pages = {28--33},
publisher = {{SCITEPRESS}},
year = {2023},
url = {https://doi.org/10.5220/0011647300003408},
doi = {10.5220/0011647300003408},
timestamp = {Thu, 23 Mar 2023 14:17:07 +0100},
biburl = {https://dblp.org/rec/conf/photoptics/Torabi23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/sp/23/AdmGTE23,
author = {Mohammad Adm and
J{\"{u}}rgen Garloff and
Jihad Titi and
Ali Elgayar},
editor = {Martine Ceberio and
Vladik Kreinovich},
title = {Bounding the Range of a Sum of Multivariate Rational Functions},
booktitle = {Decision Making Under Uncertainty and Constraints - {A} Why-Book},
volume = {217},
pages = {239--249},
publisher = {Springer},
year = {2023},
url = {https://doi.org/10.1007/978-3-031-16415-6\_36},
doi = {10.1007/978-3-031-16415-6\_36},
timestamp = {Mon, 06 Nov 2023 11:53:03 +0100},
biburl = {https://dblp.org/rec/books/sp/23/AdmGTE23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-00355,
author = {Marc Van Barel and
Niel Van Buggenhout and
Raf Vandebril},
title = {Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial
and Rational Functions when Changing the Discrete Inner Product},
journal = {CoRR},
volume = {abs/2302.00355},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2302.00355},
doi = {10.48550/ARXIV.2302.00355},
eprinttype = {arXiv},
eprint = {2302.00355},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2302-00355.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-02743,
author = {Astrid Herremans and
Daan Huybrechs and
Lloyd N. Trefethen},
title = {Resolution of singularities by rational functions},
journal = {CoRR},
volume = {abs/2302.02743},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2302.02743},
doi = {10.48550/ARXIV.2302.02743},
eprinttype = {arXiv},
eprint = {2302.02743},
timestamp = {Fri, 10 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2302-02743.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-02894,
author = {Pallavi B and
Shrinath Hadimani and
Sachindranath Jayaraman},
title = {Bounds on the eigenvalues of matrix rational functions},
journal = {CoRR},
volume = {abs/2302.02894},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2302.02894},
doi = {10.48550/ARXIV.2302.02894},
eprinttype = {arXiv},
eprint = {2302.02894},
timestamp = {Mon, 13 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2302-02894.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-03074,
author = {Siddharth Bhaskar and
Jane Chandlee and
Adam Jardine},
title = {Rational functions via recursive schemes},
journal = {CoRR},
volume = {abs/2302.03074},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2302.03074},
doi = {10.48550/ARXIV.2302.03074},
eprinttype = {arXiv},
eprint = {2302.03074},
timestamp = {Fri, 10 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2302-03074.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-08773,
author = {Hamed Taghavian and
Ross Drummond and
Mikael Johansson},
title = {Logarithmically Completely Monotonic Rational Functions},
journal = {CoRR},
volume = {abs/2302.08773},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2302.08773},
doi = {10.48550/ARXIV.2302.08773},
eprinttype = {arXiv},
eprint = {2302.08773},
timestamp = {Thu, 23 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2302-08773.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2303-03358,
author = {Noah Amsel and
Tyler Chen and
Anne Greenbaum and
Cameron Musco and
Christopher Musco},
title = {Near-Optimality Guarantees for Approximating Rational Matrix Functions
by the Lanczos Method},
journal = {CoRR},
volume = {abs/2303.03358},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2303.03358},
doi = {10.48550/ARXIV.2303.03358},
eprinttype = {arXiv},
eprint = {2303.03358},
timestamp = {Tue, 14 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2303-03358.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2304-00712,
author = {Aldo Conca and
Simone Naldi and
Giorgio Ottaviani and
Bernd Sturmfels},
title = {Taylor Polynomials of Rational Functions},
journal = {CoRR},
volume = {abs/2304.00712},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2304.00712},
doi = {10.48550/ARXIV.2304.00712},
eprinttype = {arXiv},
eprint = {2304.00712},
timestamp = {Wed, 19 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2304-00712.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-12405,
author = {Oisin Faust and
Hamza Fawzi},
title = {Rational approximations of operator monotone and operator convex functions},
journal = {CoRR},
volume = {abs/2305.12405},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2305.12405},
doi = {10.48550/ARXIV.2305.12405},
eprinttype = {arXiv},
eprint = {2305.12405},
timestamp = {Wed, 24 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2305-12405.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-20072,
author = {Alex Dunbar and
Lars Ruthotto},
title = {Alternating Minimization for Regression with Tropical Rational Functions},
journal = {CoRR},
volume = {abs/2305.20072},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2305.20072},
doi = {10.48550/ARXIV.2305.20072},
eprinttype = {arXiv},
eprint = {2305.20072},
timestamp = {Tue, 06 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2305-20072.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2306-17308,
author = {Tyler Chen and
Anne Greenbaum and
Natalie Wellen},
title = {Optimal Polynomial Approximation to Rational Matrix Functions Using
the Arnoldi Algorithm},
journal = {CoRR},
volume = {abs/2306.17308},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2306.17308},
doi = {10.48550/ARXIV.2306.17308},
eprinttype = {arXiv},
eprint = {2306.17308},
timestamp = {Mon, 03 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2306-17308.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-06221,
author = {Richard Mika{\"{e}}l Slevinsky},
title = {Fast and stable rational approximation of generalized hypergeometric
functions},
journal = {CoRR},
volume = {abs/2307.06221},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.06221},
doi = {10.48550/ARXIV.2307.06221},
eprinttype = {arXiv},
eprint = {2307.06221},
timestamp = {Mon, 24 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-06221.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-13484,
author = {Julien Bect and
Niklas Georg and
Ulrich R{\"{o}}mer and
Sebastian Sch{\"{o}}ps},
title = {Rational kernel-based interpolation for complex-valued frequency response
functions},
journal = {CoRR},
volume = {abs/2307.13484},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.13484},
doi = {10.48550/ARXIV.2307.13484},
eprinttype = {arXiv},
eprint = {2307.13484},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-13484.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2308-03560,
author = {Manuel Luigi Trezzi and
Umberto Zerbinati},
title = {When rational functions meet virtual elements: The lightning Virtual
Element Method},
journal = {CoRR},
volume = {abs/2308.03560},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2308.03560},
doi = {10.48550/ARXIV.2308.03560},
eprinttype = {arXiv},
eprint = {2308.03560},
timestamp = {Tue, 22 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2308-03560.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2310-08004,
author = {Vishnu Iyer and
Siddhartha Jain and
Matt Kovacs{-}Deak and
Vinayak M. Kumar and
Luke Schaeffer and
Daochen Wang and
Michael Whitmeyer},
title = {On the Rational Degree of Boolean Functions and Applications},
journal = {CoRR},
volume = {abs/2310.08004},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2310.08004},
doi = {10.48550/ARXIV.2310.08004},
eprinttype = {arXiv},
eprint = {2310.08004},
timestamp = {Thu, 26 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2310-08004.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2310-12053,
author = {James Chok and
Geoffrey M. Vasil},
title = {Rational function approximation with normalized positive denominators},
journal = {CoRR},
volume = {abs/2310.12053},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2310.12053},
doi = {10.48550/ARXIV.2310.12053},
eprinttype = {arXiv},
eprint = {2310.12053},
timestamp = {Fri, 27 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2310-12053.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2310-14462,
author = {Songsong Li and
Chaoping Xing},
title = {Fast Fourier transform via automorphism groups of rational function
fields},
journal = {CoRR},
volume = {abs/2310.14462},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2310.14462},
doi = {10.48550/ARXIV.2310.14462},
eprinttype = {arXiv},
eprint = {2310.14462},
timestamp = {Mon, 30 Oct 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2310-14462.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2311-02701,
author = {Igor Simunec},
title = {Error bounds for the approximation of matrix functions with rational
Krylov methods},
journal = {CoRR},
volume = {abs/2311.02701},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2311.02701},
doi = {10.48550/ARXIV.2311.02701},
eprinttype = {arXiv},
eprint = {2311.02701},
timestamp = {Wed, 08 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2311-02701.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2311-10477,
author = {Alonso Sep{\'{u}}lveda Castellanos and
Erik A. R. Mendoza and
Guilherme C. Tizziotti},
title = {The Set of Pure Gaps at Several Rational Places in Function Fields},
journal = {CoRR},
volume = {abs/2311.10477},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2311.10477},
doi = {10.48550/ARXIV.2311.10477},
eprinttype = {arXiv},
eprint = {2311.10477},
timestamp = {Wed, 22 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2311-10477.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-07444,
author = {Aljowhara H. Honain and
Khaled M. Furati and
Ibrahim O. Sarumi and
Abdul Q. M. Khaliq},
title = {Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler
Function},
journal = {CoRR},
volume = {abs/2312.07444},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.07444},
doi = {10.48550/ARXIV.2312.07444},
eprinttype = {arXiv},
eprint = {2312.07444},
timestamp = {Thu, 04 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-07444.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-10260,
author = {Simon Dirckx and
Karl Meerbergen and
Daan Huybrechs},
title = {QR-based Parallel Set-Valued Approximation with Rational Functions},
journal = {CoRR},
volume = {abs/2312.10260},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.10260},
doi = {10.48550/ARXIV.2312.10260},
eprinttype = {arXiv},
eprint = {2312.10260},
timestamp = {Mon, 15 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-10260.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-13202,
author = {Nicolas Boull{\'{e}} and
Astrid Herremans and
Daan Huybrechs},
title = {Multivariate rational approximation of functions with curves of singularities},
journal = {CoRR},
volume = {abs/2312.13202},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.13202},
doi = {10.48550/ARXIV.2312.13202},
eprinttype = {arXiv},
eprint = {2312.13202},
timestamp = {Wed, 17 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-13202.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-13809,
author = {Tobias Jawecki and
Pranav Singh},
title = {Unitary rational best approximations to the exponential function},
journal = {CoRR},
volume = {abs/2312.13809},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.13809},
doi = {10.48550/ARXIV.2312.13809},
eprinttype = {arXiv},
eprint = {2312.13809},
timestamp = {Wed, 17 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-13809.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-16210,
author = {James H. Davenport and
Matthew England and
Scott McCallum and
Ali Kemal Uncu},
title = {Iterated Resultants and Rational Functions in Real Quantifier Elimination},
journal = {CoRR},
volume = {abs/2312.16210},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.16210},
doi = {10.48550/ARXIV.2312.16210},
eprinttype = {arXiv},
eprint = {2312.16210},
timestamp = {Thu, 18 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-16210.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/eccc/Iyer0KKSWW23,
author = {Vishnu Iyer and
Siddhartha Jain and
Matt Kovacs{-}Deak and
Vinayak M. Kumar and
Luke Schaeffer and
Daochen Wang and
Michael Whitmeyer},
title = {On the Rational Degree of Boolean Functions and Applications},
journal = {Electron. Colloquium Comput. Complex.},
volume = {{TR23-154}},
year = {2023},
url = {https://eccc.weizmann.ac.il/report/2023/154},
eprinttype = {ECCC},
eprint = {TR23-154},
timestamp = {Wed, 10 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/eccc/Iyer0KKSWW23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/ChenHHLW22,
author = {Shaoshi Chen and
Qing{-}Hu Hou and
Hui Huang and
George Labahn and
Rong{-}Hua Wang},
title = {Constructing minimal telescopers for rational functions in three discrete
variables},
journal = {Adv. Appl. Math.},
volume = {141},
pages = {102389},
year = {2022},
url = {https://doi.org/10.1016/j.aam.2022.102389},
doi = {10.1016/J.AAM.2022.102389},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aam/ChenHHLW22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/actaC/Dozsa22,
author = {Tam{\'{a}}s D{\'{o}}zsa},
title = {Inverses of Rational Functions},
journal = {Acta Cybern.},
volume = {26},
number = {1},
pages = {53--69},
year = {2022},
url = {https://doi.org/10.14232/actacyb.294975},
doi = {10.14232/ACTACYB.294975},
timestamp = {Fri, 21 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/actaC/Dozsa22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/BoitoEG22,
author = {Paola Boito and
Yuli Eidelman and
Luca Gemignani},
title = {Computing the reciprocal of a {\(\phi\)}-function by rational approximation},
journal = {Adv. Comput. Math.},
volume = {48},
number = {1},
pages = {1},
year = {2022},
url = {https://doi.org/10.1007/s10444-021-09917-z},
doi = {10.1007/S10444-021-09917-Z},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/BoitoEG22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithms/HoxhaM22,
author = {Indrit Hoxha and
Taoufik Meklachi},
title = {Data Fitting with Rational Functions: Scaled Null Space Method with
Applications of Fitting Large Scale Shocks on Economic Variables and
S-Parameters},
journal = {Algorithms},
volume = {15},
number = {2},
pages = {57},
year = {2022},
url = {https://doi.org/10.3390/a15020057},
doi = {10.3390/A15020057},
timestamp = {Fri, 01 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/algorithms/HoxhaM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dcc/BeregMMSS22,
author = {Sergey Bereg and
Brian Malouf and
Linda Morales and
Thomas Stanley and
Ivan Hal Sudborough},
title = {Using permutation rational functions to obtain permutation arrays
with large hamming distance},
journal = {Des. Codes Cryptogr.},
volume = {90},
number = {7},
pages = {1659--1677},
year = {2022},
url = {https://doi.org/10.1007/s10623-022-01039-x},
doi = {10.1007/S10623-022-01039-X},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/dcc/BeregMMSS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/esi/BeitollahiHH22,
author = {Mersedeh Beitollahi and
S. Abolfazl Hosseini and
Sayed A. Hadei},
title = {Hyperspectral data compression by using rational function curve fitting
in spectral signature subintervals and Savitsky-Golay smoothing filter},
journal = {Earth Sci. Informatics},
volume = {15},
number = {2},
pages = {1215--1232},
year = {2022},
url = {https://doi.org/10.1007/s12145-022-00796-6},
doi = {10.1007/S12145-022-00796-6},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/esi/BeitollahiHH22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/GowM22,
author = {Rod Gow and
Gary McGuire},
title = {Invariant rational functions, linear fractional transformations and
irreducible polynomials over finite fields},
journal = {Finite Fields Their Appl.},
volume = {79},
pages = {101991},
year = {2022},
url = {https://doi.org/10.1016/j.ffa.2021.101991},
doi = {10.1016/J.FFA.2021.101991},
timestamp = {Mon, 14 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/GowM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/Rzedowski-Calderon22,
author = {Martha Rzedowski{-}Calder{\'{o}}n and
Gabriel Villa{-}Salvador},
title = {Genus fields of Kummer extensions of rational function fields},
journal = {Finite Fields Their Appl.},
volume = {77},
pages = {101943},
year = {2022},
url = {https://doi.org/10.1016/j.ffa.2021.101943},
doi = {10.1016/J.FFA.2021.101943},
timestamp = {Tue, 07 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/Rzedowski-Calderon22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijac/JuAe22,
author = {Song JuAe},
title = {Rational function semifields of tropical curves are finitely generated
over the tropical semifield},
journal = {Int. J. Algebra Comput.},
volume = {32},
number = {8},
pages = {1575--1594},
year = {2022},
url = {https://doi.org/10.1142/S0218196722500710},
doi = {10.1142/S0218196722500710},
timestamp = {Wed, 19 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijac/JuAe22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Yattselev22,
author = {Maxim L. Yattselev},
title = {On LR2-best rational approximants to Markov functions on several intervals},
journal = {J. Approx. Theory},
volume = {278},
pages = {105738},
year = {2022},
url = {https://doi.org/10.1016/j.jat.2022.105738},
doi = {10.1016/J.JAT.2022.105738},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jat/Yattselev22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mma/Gonzalez-Olivares22,
author = {Eduardo Gonz{\'{a}}lez{-}Olivares and
Adolfo Mosquera{-}Aguilar and
Paulo Tintinago{-}Ruiz and
Alejandro Rojas{-}Palma},
title = {Bifurcations in a Leslie-Gower Type predator-prey Model with a rational
non-Monotonic Functional response},
journal = {Math. Model. Anal.},
volume = {27},
number = {3},
pages = {510--532},
year = {2022},
url = {https://doi.org/10.3846/mma.2022.15528},
doi = {10.3846/MMA.2022.15528},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mma/Gonzalez-Olivares22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/CasulliS22,
author = {Angelo Casulli and
Igor Simunec},
title = {Computation of generalized matrix functions with rational Krylov methods},
journal = {Math. Comput.},
volume = {92},
number = {340},
pages = {749--777},
year = {2022},
url = {https://doi.org/10.1090/mcom/3788},
doi = {10.1090/MCOM/3788},
timestamp = {Tue, 02 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/CasulliS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BeckermannBL22,
author = {Bernhard Beckermann and
Joanna Bisch and
Robert Luce},
title = {On the rational approximation of Markov functions, with applications
to the computation of Markov functions of Toeplitz matrices},
journal = {Numer. Algorithms},
volume = {91},
number = {1},
pages = {109--144},
year = {2022},
url = {https://doi.org/10.1007/s11075-022-01256-4},
doi = {10.1007/S11075-022-01256-4},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BeckermannBL22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BuggenhoutBV22,
author = {Niel Van Buggenhout and
Marc Van Barel and
Raf Vandebril},
title = {Generation of orthogonal rational functions by procedures for structured
matrices},
journal = {Numer. Algorithms},
volume = {89},
number = {2},
pages = {551--582},
year = {2022},
url = {https://doi.org/10.1007/s11075-021-01125-6},
doi = {10.1007/S11075-021-01125-6},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BuggenhoutBV22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/AlahmadiPR22,
author = {Jihan Alahmadi and
Miroslav S. Pranic and
Lothar Reichel},
title = {Rational gauss quadrature rules for the approximation of matrix functionals
involving stieltjes functions},
journal = {Numerische Mathematik},
volume = {151},
number = {2},
pages = {443--473},
year = {2022},
url = {https://doi.org/10.1007/s00211-022-01293-0},
doi = {10.1007/S00211-022-01293-0},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/AlahmadiPR22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/remotesensing/LiZYZZL22,
author = {Qingyang Li and
Ruofei Zhong and
Cankun Yang and
Ke Zhao and
Chenchen Zhang and
Yue Li},
title = {Geometric Quality Improvement Method of Optical Remote Sensing Satellite
Images Based on Rational Function Model},
journal = {Remote. Sens.},
volume = {14},
number = {18},
pages = {4443},
year = {2022},
url = {https://doi.org/10.3390/rs14184443},
doi = {10.3390/RS14184443},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/remotesensing/LiZYZZL22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/rml/ChompitakiKP22,
author = {Dimitra Chompitaki and
Manos Kamarianakis and
Thanases Pheidas},
title = {Notes on the decidability of addition and the Frobenius map for polynomials
and rational functions},
journal = {Reports Math. Log.},
volume = {57},
pages = {53--60},
year = {2022},
url = {https://doi.org/10.4467/20842589rm.22.004.16661},
doi = {10.4467/20842589RM.22.004.16661},
timestamp = {Sat, 13 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/rml/ChompitakiKP22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/WilberDT22,
author = {Heather Wilber and
Anil Damle and
Alex Townsend},
title = {Data-Driven Algorithms for Signal Processing with Trigonometric Rational
Functions},
journal = {{SIAM} J. Sci. Comput.},
volume = {44},
number = {3},
pages = {185},
year = {2022},
url = {https://doi.org/10.1137/21m1420277},
doi = {10.1137/21M1420277},
timestamp = {Mon, 25 Jul 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/WilberDT22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/AbdelazizBKM22,
author = {Youssef Abdelaziz and
Salah Boukraa and
Christoph Koutschan and
Jean{-}Marie Maillard},
title = {Diagonals of Rational Functions: From Differential Algebra to Effective
Algebraic Geometry},
journal = {Symmetry},
volume = {14},
number = {7},
pages = {1297},
year = {2022},
url = {https://doi.org/10.3390/sym14071297},
doi = {10.3390/SYM14071297},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/AbdelazizBKM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/AhfafMT22,
author = {Omelsaad Ahfaf and
Mansour Mahmoud and
Ahmed Talat},
title = {Some Rational Approximations and Bounds for Bateman's G-Function},
journal = {Symmetry},
volume = {14},
number = {5},
pages = {929},
year = {2022},
url = {https://doi.org/10.3390/sym14050929},
doi = {10.3390/SYM14050929},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/AhfafMT22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/HamalS22,
author = {Hayatem Hamal and
Pembe Sabancigil},
title = {Kantorovich Type Generalization of Bernstein Type Rational Functions
Based on (p, q)-Integers},
journal = {Symmetry},
volume = {14},
number = {5},
pages = {1054},
year = {2022},
url = {https://doi.org/10.3390/sym14051054},
doi = {10.3390/SYM14051054},
timestamp = {Mon, 13 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/HamalS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/LiuZACAR22,
author = {Xiaolan Liu and
Mi Zhou and
Arslan Hojat Ansari and
Kalyan Chakrabarti and
Mujahid Abbas and
Laxmi Rathour},
title = {Coupled Fixed Point Theorems with Rational Type Contractive Condition
via C-Class Functions and Inverse Ck-Class Functions},
journal = {Symmetry},
volume = {14},
number = {8},
pages = {1663},
year = {2022},
url = {https://doi.org/10.3390/sym14081663},
doi = {10.3390/SYM14081663},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/LiuZACAR22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/FerranteP22,
author = {Augusto Ferrante and
Giorgio Picci},
title = {Comments on "Representation and Factorization of Discrete-Time Rational
All-Pass Functions"},
journal = {{IEEE} Trans. Autom. Control.},
volume = {67},
number = {8},
pages = {4385},
year = {2022},
url = {https://doi.org/10.1109/TAC.2022.3174710},
doi = {10.1109/TAC.2022.3174710},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/FerranteP22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ccia/AguiloMR22,
author = {Isabel Aguil{\'{o}} and
Sebasti{\`{a}} Massanet and
Juan Vicente Riera},
editor = {Atia Cort{\'{e}}s and
Francisco Grimaldo and
Tommaso Flaminio},
title = {On Conjunctive and Disjunctive Rational Bivariate Aggregation Functions
of Degrees (2, 1)},
booktitle = {Artificial Intelligence Research and Development - Proceedings of
the 24th International Conference of the Catalan Association for Artificial
Intelligence, {CCIA} 2022, Sitges, Spain, 19-21 October 2022},
series = {Frontiers in Artificial Intelligence and Applications},
volume = {356},
pages = {13--16},
publisher = {{IOS} Press},
year = {2022},
url = {https://doi.org/10.3233/FAIA220308},
doi = {10.3233/FAIA220308},
timestamp = {Thu, 20 Oct 2022 11:47:21 +0200},
biburl = {https://dblp.org/rec/conf/ccia/AguiloMR22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/innovations/MelkebeekM22,
author = {Dieter van Melkebeek and
Andrew Morgan},
editor = {Mark Braverman},
title = {Polynomial Identity Testing via Evaluation of Rational Functions},
booktitle = {13th Innovations in Theoretical Computer Science Conference, {ITCS}
2022, January 31 - February 3, 2022, Berkeley, CA, {USA}},
series = {LIPIcs},
volume = {215},
pages = {119:1--119:24},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2022},
url = {https://doi.org/10.4230/LIPIcs.ITCS.2022.119},
doi = {10.4230/LIPICS.ITCS.2022.119},
timestamp = {Wed, 26 Jan 2022 14:33:51 +0100},
biburl = {https://dblp.org/rec/conf/innovations/MelkebeekM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/Arreche022,
author = {Carlos E. Arreche and
Yi Zhang},
editor = {Marc Moreno Maza and
Lihong Zhi},
title = {Mahler Discrete Residues and Summability for Rational Functions},
booktitle = {{ISSAC} '22: International Symposium on Symbolic and Algebraic Computation,
Villeneuve-d'Ascq, France, July 4 - 7, 2022},
pages = {525--533},
publisher = {{ACM}},
year = {2022},
url = {https://doi.org/10.1145/3476446.3536186},
doi = {10.1145/3476446.3536186},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/issac/Arreche022.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/KutasMZC22,
author = {P{\'{e}}ter Kutas and
Micka{\"{e}}l Montessinos and
Gergely Z{\'{a}}br{\'{a}}di and
T{\'{\i}}mea Csah{\'{o}}k},
editor = {Marc Moreno Maza and
Lihong Zhi},
title = {Finding Nontrivial Zeros of Quadratic Forms over Rational Function
Fields of Characteristic 2},
booktitle = {{ISSAC} '22: International Symposium on Symbolic and Algebraic Computation,
Villeneuve-d'Ascq, France, July 4 - 7, 2022},
pages = {235--244},
publisher = {{ACM}},
year = {2022},
url = {https://doi.org/10.1145/3476446.3535485},
doi = {10.1145/3476446.3535485},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/issac/KutasMZC22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/mfcs/CartonD22,
author = {Olivier Carton and
Ga{\"{e}}tan Dou{\'{e}}neau{-}Tabot},
editor = {Stefan Szeider and
Robert Ganian and
Alexandra Silva},
title = {Continuous Rational Functions Are Deterministic Regular},
booktitle = {47th International Symposium on Mathematical Foundations of Computer
Science, {MFCS} 2022, August 22-26, 2022, Vienna, Austria},
series = {LIPIcs},
volume = {241},
pages = {28:1--28:13},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2022},
url = {https://doi.org/10.4230/LIPIcs.MFCS.2022.28},
doi = {10.4230/LIPICS.MFCS.2022.28},
timestamp = {Mon, 26 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/mfcs/CartonD22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:journals/corr/abs-2207-00849,
author = {Peter Kourzanov},
editor = {Jeremy Gibbons and
Max S. New},
title = {Tableless Calculation of Circular Functions on Dyadic Rationals},
booktitle = {Proceedings Ninth Workshop on Mathematically Structured Functional
Programming, MSFP@ETAPS 2022, Munich, Germany, 2nd April 2022},
series = {{EPTCS}},
volume = {360},
pages = {45--70},
year = {2022},
url = {https://doi.org/10.4204/EPTCS.360.3},
doi = {10.4204/EPTCS.360.3},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2207-00849.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-11251,
author = {Tyler Chen and
Anne Greenbaum and
Cameron Musco and
Christopher Musco},
title = {Low-memory Krylov subspace methods for optimal rational matrix function
approximation},
journal = {CoRR},
volume = {abs/2202.11251},
year = {2022},
url = {https://arxiv.org/abs/2202.11251},
eprinttype = {arXiv},
eprint = {2202.11251},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2202-11251.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2204-06968,
author = {Shaoshi Chen and
Lixin Du and
Hanqian Fang},
title = {Shift Equivalence Testing of Polynomials and Symbolic Summation of
Multivariate Rational Functions},
journal = {CoRR},
volume = {abs/2204.06968},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2204.06968},
doi = {10.48550/ARXIV.2204.06968},
eprinttype = {arXiv},
eprint = {2204.06968},
timestamp = {Tue, 19 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2204-06968.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2204-11235,
author = {Olivier Carton and
Ga{\"{e}}tan Dou{\'{e}}neau{-}Tabot},
title = {Continuous rational functions are deterministic regular},
journal = {CoRR},
volume = {abs/2204.11235},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2204.11235},
doi = {10.48550/ARXIV.2204.11235},
eprinttype = {arXiv},
eprint = {2204.11235},
timestamp = {Thu, 28 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2204-11235.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2206-09008,
author = {Andrew Ma and
Arif Ege Engin},
title = {Orthogonal Rational Approximation of Transfer Functions for High-Frequency
Circuits},
journal = {CoRR},
volume = {abs/2206.09008},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2206.09008},
doi = {10.48550/ARXIV.2206.09008},
eprinttype = {arXiv},
eprint = {2206.09008},
timestamp = {Mon, 27 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2206-09008.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2209-12579,
author = {C{\'{e}}cile Hautecoeur and
Lieven De Lathauwer and
Nicolas Gillis and
Fran{\c{c}}ois Glineur},
title = {Least-squares methods for nonnegative matrix factorization over rational
functions},
journal = {CoRR},
volume = {abs/2209.12579},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2209.12579},
doi = {10.48550/ARXIV.2209.12579},
eprinttype = {arXiv},
eprint = {2209.12579},
timestamp = {Thu, 06 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2209-12579.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2211-01062,
author = {Dieter van Melkebeek and
Andrew Morgan},
title = {Polynomial Identity Testing via Evaluation of Rational Functions},
journal = {CoRR},
volume = {abs/2211.01062},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2211.01062},
doi = {10.48550/ARXIV.2211.01062},
eprinttype = {arXiv},
eprint = {2211.01062},
timestamp = {Fri, 04 Nov 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2211-01062.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/eccc/MelkebeekM22,
author = {Dieter van Melkebeek and
Andrew Morgan},
title = {Polynomial Identity Testing via Evaluation of Rational Functions},
journal = {Electron. Colloquium Comput. Complex.},
volume = {{TR22-115}},
year = {2022},
url = {https://eccc.weizmann.ac.il/report/2022/115},
eprinttype = {ECCC},
eprint = {TR22-115},
timestamp = {Tue, 27 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/eccc/MelkebeekM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/SalamatLT21,
author = {Babak Salamat and
Nunzio A. Letizia and
Andrea M. Tonello},
title = {Control Based Motion Planning Exploiting Calculus of Variations and
Rational Functions: {A} Formal Approach},
journal = {{IEEE} Access},
volume = {9},
pages = {121716--121727},
year = {2021},
url = {https://doi.org/10.1109/ACCESS.2021.3109125},
doi = {10.1109/ACCESS.2021.3109125},
timestamp = {Sat, 25 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/access/SalamatLT21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/HoevenL21,
author = {Joris van der Hoeven and
Gr{\'{e}}goire Lecerf},
title = {On sparse interpolation of rational functions and gcds},
journal = {{ACM} Commun. Comput. Algebra},
volume = {55},
number = {1},
pages = {1--12},
year = {2021},
url = {https://doi.org/10.1145/3466895.3466896},
doi = {10.1145/3466895.3466896},
timestamp = {Tue, 21 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/HoevenL21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ccds/Hou21,
author = {Xiang{-}dong Hou},
title = {A power sum formula by Carlitz and its applications to permutation
rational functions of finite fields},
journal = {Cryptogr. Commun.},
volume = {13},
number = {5},
pages = {681--694},
year = {2021},
url = {https://doi.org/10.1007/s12095-021-00495-x},
doi = {10.1007/S12095-021-00495-X},
timestamp = {Wed, 03 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ccds/Hou21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/KlappertKL21,
author = {Jonas Klappert and
Sven Yannick Klein and
Fabian Lange},
title = {Interpolation of dense and sparse rational functions and other improvements
in FireFly},
journal = {Comput. Phys. Commun.},
volume = {264},
pages = {107968},
year = {2021},
url = {https://doi.org/10.1016/j.cpc.2021.107968},
doi = {10.1016/J.CPC.2021.107968},
timestamp = {Tue, 13 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cphysics/KlappertKL21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fbinf/YinGB21,
author = {Melvin Yin and
Alexander Goncearenco and
Igor N. Berezovsky},
title = {Deriving and Using Descriptors of Elementary Functions in Rational
Protein Design},
journal = {Frontiers Bioinform.},
volume = {1},
year = {2021},
url = {https://doi.org/10.3389/fbinf.2021.657529},
doi = {10.3389/FBINF.2021.657529},
timestamp = {Wed, 23 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fbinf/YinGB21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/BartoliH21,
author = {Daniele Bartoli and
Xiang{-}dong Hou},
title = {On a conjecture on permutation rational functions over finite fields},
journal = {Finite Fields Their Appl.},
volume = {76},
pages = {101904},
year = {2021},
url = {https://doi.org/10.1016/j.ffa.2021.101904},
doi = {10.1016/J.FFA.2021.101904},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ffa/BartoliH21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/Oruc21,
author = {{\"{O}}mer Oru{\c{c}}},
title = {Two meshless methods based on pseudo spectral delta-shaped basis functions
and barycentric rational interpolation for numerical solution of modified
Burgers equation},
journal = {Int. J. Comput. Math.},
volume = {98},
number = {3},
pages = {461--479},
year = {2021},
url = {https://doi.org/10.1080/00207160.2020.1755432},
doi = {10.1080/00207160.2020.1755432},
timestamp = {Wed, 07 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/Oruc21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijfcs/Finkel21,
author = {Olivier Finkel},
title = {Two Effective Properties of {\(\omega\)}-Rational Functions},
journal = {Int. J. Found. Comput. Sci.},
volume = {32},
number = {7},
pages = {901--920},
year = {2021},
url = {https://doi.org/10.1142/S0129054121500283},
doi = {10.1142/S0129054121500283},
timestamp = {Wed, 18 May 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijfcs/Finkel21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmmsc/GardnerGK21,
author = {Robert Gardner and
Narendra Kumar Govil and
Prasanna Kumar},
title = {Some Inequalities for the Maximum Modulus of Rational Functions},
journal = {Int. J. Math. Math. Sci.},
volume = {2021},
pages = {2263550:1--2263550:4},
year = {2021},
url = {https://doi.org/10.1155/2021/2263550},
doi = {10.1155/2021/2263550},
timestamp = {Tue, 28 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ijmmsc/GardnerGK21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/GawlikN21,
author = {Evan S. Gawlik and
Yuji Nakatsukasa},
title = {Approximating the pth root by composite rational functions},
journal = {J. Approx. Theory},
volume = {266},
pages = {105577},
year = {2021},
url = {https://doi.org/10.1016/j.jat.2021.105577},
doi = {10.1016/J.JAT.2021.105577},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jat/GawlikN21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcta/Petrov21,
author = {Leonid Petrov},
title = {Refined Cauchy identity for spin Hall-Littlewood symmetric rational
functions},
journal = {J. Comb. Theory, Ser. {A}},
volume = {184},
pages = {105519},
year = {2021},
url = {https://doi.org/10.1016/j.jcta.2021.105519},
doi = {10.1016/J.JCTA.2021.105519},
timestamp = {Sat, 11 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcta/Petrov21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/Wang21,
author = {Rong{-}Hua Wang},
title = {An Algorithmic Approach to the q-Summability Problem of Bivariate
Rational Functions},
journal = {J. Syst. Sci. Complex.},
volume = {34},
number = {1},
pages = {107--121},
year = {2021},
url = {https://doi.org/10.1007/s11424-020-9391-6},
doi = {10.1007/S11424-020-9391-6},
timestamp = {Wed, 10 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jossac/Wang21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/ChenDWZ21,
author = {Shaoshi Chen and
Lixin Du and
Rong{-}Hua Wang and
Chaochao Zhu},
title = {On the existence of telescopers for rational functions in three variables},
journal = {J. Symb. Comput.},
volume = {104},
pages = {494--522},
year = {2021},
url = {https://doi.org/10.1016/j.jsc.2020.08.006},
doi = {10.1016/J.JSC.2020.08.006},
timestamp = {Tue, 15 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/ChenDWZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/KrummS21,
author = {David Krumm and
Nicole Sutherland},
title = {Galois groups over rational function fields and Explicit Hilbert Irreducibility},
journal = {J. Symb. Comput.},
volume = {103},
pages = {108--126},
year = {2021},
url = {https://doi.org/10.1016/j.jsc.2019.11.003},
doi = {10.1016/J.JSC.2019.11.003},
timestamp = {Mon, 19 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsc/KrummS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/MelczerS21,
author = {Stephen Melczer and
Bruno Salvy},
title = {Effective coefficient asymptotics of multivariate rational functions
via semi-numerical algorithms for polynomial systems},
journal = {J. Symb. Comput.},
volume = {103},
pages = {234--279},
year = {2021},
url = {https://doi.org/10.1016/j.jsc.2020.01.001},
doi = {10.1016/J.JSC.2020.01.001},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsc/MelczerS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DuanZ21,
author = {Beiping Duan and
Zhimin Zhang},
title = {A Rational Approximation Scheme for Computing Mittag-Leffler Function
with Discrete Elliptic Operator as Input},
journal = {J. Sci. Comput.},
volume = {87},
number = {3},
pages = {75},
year = {2021},
url = {https://doi.org/10.1007/s10915-021-01495-y},
doi = {10.1007/S10915-021-01495-Y},
timestamp = {Wed, 19 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/DuanZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GuW21,
author = {Dongqin Gu and
Zhong{-}Qing Wang},
title = {Orthogonal Jacobi Rational Functions and Spectral Methods on the Half
Line},
journal = {J. Sci. Comput.},
volume = {88},
number = {1},
pages = {17},
year = {2021},
url = {https://doi.org/10.1007/s10915-021-01535-7},
doi = {10.1007/S10915-021-01535-7},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/GuW21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcs/TyadaCS21,
author = {K. R. Tyada and
A. K. B. Chand and
Mohammad Sajid},
title = {Shape preserving rational cubic trigonometric fractal interpolation
functions},
journal = {Math. Comput. Simul.},
volume = {190},
pages = {866--891},
year = {2021},
url = {https://doi.org/10.1016/j.matcom.2021.06.015},
doi = {10.1016/J.MATCOM.2021.06.015},
timestamp = {Thu, 28 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mcs/TyadaCS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/PozzaS21,
author = {Stefano Pozza and
Valeria Simoncini},
title = {Functions of rational Krylov space matrices and their decay properties},
journal = {Numerische Mathematik},
volume = {148},
number = {1},
pages = {99--126},
year = {2021},
url = {https://doi.org/10.1007/s00211-021-01198-4},
doi = {10.1007/S00211-021-01198-4},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/PozzaS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamjo/LasserreMMZ21,
author = {Jean{-}Bernard Lasserre and
Victor Magron and
Swann Marx and
Olivier Zahm},
title = {Minimizing Rational Functions: {A} Hierarchy of Approximations via
Pushforward Measures},
journal = {{SIAM} J. Optim.},
volume = {31},
number = {3},
pages = {2285--2306},
year = {2021},
url = {https://doi.org/10.1137/20M138541X},
doi = {10.1137/20M138541X},
timestamp = {Wed, 03 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamjo/LasserreMMZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BeckermannCKS21,
author = {Bernhard Beckermann and
Alice Cortinovis and
Daniel Kressner and
Marcel Schweitzer},
title = {Low-Rank Updates of Matrix Functions {II:} Rational Krylov Methods},
journal = {{SIAM} J. Numer. Anal.},
volume = {59},
number = {3},
pages = {1325--1347},
year = {2021},
url = {https://doi.org/10.1137/20M1362553},
doi = {10.1137/20M1362553},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/BeckermannCKS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/Baddoo21,
author = {Peter J. Baddoo},
title = {The AAAtrig Algorithm for Rational Approximation of Periodic Functions},
journal = {{SIAM} J. Sci. Comput.},
volume = {43},
number = {5},
pages = {A3372--A3392},
year = {2021},
url = {https://doi.org/10.1137/20M1359316},
doi = {10.1137/20M1359316},
timestamp = {Fri, 03 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/Baddoo21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/GoseaG21,
author = {Ion Victor Gosea and
Stefan G{\"{u}}ttel},
title = {Algorithms for the Rational Approximation of Matrix-Valued Functions},
journal = {{SIAM} J. Sci. Comput.},
volume = {43},
number = {5},
pages = {A3033--A3054},
year = {2021},
url = {https://doi.org/10.1137/20M1324727},
doi = {10.1137/20M1324727},
timestamp = {Wed, 15 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/GoseaG21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/MartinROS21,
author = {Pablo Martin and
Eduardo Rojas and
Jorge Olivares and
Adri{\'{a}}n Sotomayor},
title = {Quasi-Rational Analytic Approximation for the Modified Bessel Function
I1(x) with High Accuracy},
journal = {Symmetry},
volume = {13},
number = {5},
pages = {741},
year = {2021},
url = {https://doi.org/10.3390/sym13050741},
doi = {10.3390/SYM13050741},
timestamp = {Thu, 16 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/MartinROS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/ReynoldsS21a,
author = {Robert Reynolds and
Allan Stauffer},
title = {Double Integral of Logarithmic and Quotient Rational Functions Expressed
in Terms of the Lerch Function},
journal = {Symmetry},
volume = {13},
number = {9},
pages = {1708},
year = {2021},
url = {https://doi.org/10.3390/sym13091708},
doi = {10.3390/SYM13091708},
timestamp = {Wed, 15 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/symmetry/ReynoldsS21a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/synthese/Herfeld21,
author = {Catherine Herfeld},
title = {Understanding the rationality principle in economics as a functional
a priori principle},
journal = {Synth.},
volume = {198},
number = {14},
pages = {3329--3358},
year = {2021},
url = {https://doi.org/10.1007/s11229-020-02730-z},
doi = {10.1007/S11229-020-02730-Z},
timestamp = {Thu, 29 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/synthese/Herfeld21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/MiZ21,
author = {Wen Mi and
Wei Xing Zheng},
title = {Adaptive Rational Orthogonal Basis Functions for Identification of
Continuous-Time Systems},
journal = {{IEEE} Trans. Autom. Control.},
volume = {66},
number = {4},
pages = {1809--1816},
year = {2021},
url = {https://doi.org/10.1109/TAC.2020.2995827},
doi = {10.1109/TAC.2020.2995827},
timestamp = {Wed, 07 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/MiZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcasII/Tavazoei21,
author = {Mohammad Saleh Tavazoei},
title = {Coefficient-Based Classes of Algebraic Conditions to Construct Positive
Real Rational Functions},
journal = {{IEEE} Trans. Circuits Syst. {II} Express Briefs},
volume = {68},
number = {7},
pages = {2374--2378},
year = {2021},
url = {https://doi.org/10.1109/TCSII.2021.3062888},
doi = {10.1109/TCSII.2021.3062888},
timestamp = {Thu, 16 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcasII/Tavazoei21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tgrs/YeQZDLB21,
author = {Zhijing Ye and
Tao Qian and
Liming Zhang and
Lei Dai and
Hong Li and
J{\'{o}}n Atli Benediktsson},
title = {Functional Feature Extraction for Hyperspectral Image Classification
With Adaptive Rational Function Approximation},
journal = {{IEEE} Trans. Geosci. Remote. Sens.},
volume = {59},
number = {9},
pages = {7680--7694},
year = {2021},
url = {https://doi.org/10.1109/TGRS.2021.3052807},
doi = {10.1109/TGRS.2021.3052807},
timestamp = {Fri, 06 May 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tgrs/YeQZDLB21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tim/PeumansPLV21,
author = {Dries Peumans and
Rik Pintelon and
John Lataire and
Gerd Vandersteen},
title = {Frequency Response Function Measurements of Multivariable Systems
via Local Rational Modeling},
journal = {{IEEE} Trans. Instrum. Meas.},
volume = {70},
pages = {1--9},
year = {2021},
url = {https://doi.org/10.1109/TIM.2021.3060590},
doi = {10.1109/TIM.2021.3060590},
timestamp = {Tue, 23 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tim/PeumansPLV21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tim/PintelonPVL21,
author = {Rik Pintelon and
Dries Peumans and
Gerd Vandersteen and
John Lataire},
title = {Frequency Response Function Measurements via Local Rational Modeling,
Revisited},
journal = {{IEEE} Trans. Instrum. Meas.},
volume = {70},
pages = {1--16},
year = {2021},
url = {https://doi.org/10.1109/TIM.2020.3020601},
doi = {10.1109/TIM.2020.3020601},
timestamp = {Thu, 17 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tim/PintelonPVL21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tim/SouzaPML21,
author = {Leonardo Augusto Abreu De Souza and
Marcus Vin{\'{\i}}cius Viegas Pinto and
Marcelo Britto Martins and
Antonio C. S. Lima},
title = {Modeling of a Resistive Voltage Divider by Rational Functions: Uncertainty
Evaluation},
journal = {{IEEE} Trans. Instrum. Meas.},
volume = {70},
pages = {1--8},
year = {2021},
url = {https://doi.org/10.1109/TIM.2020.3047956},
doi = {10.1109/TIM.2020.3047956},
timestamp = {Tue, 07 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tim/SouzaPML21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/JinMX21,
author = {Lingfei Jin and
Liming Ma and
Chaoping Xing},
title = {A New Construction of Nonlinear Codes via Rational Function Fields},
journal = {{IEEE} Trans. Inf. Theory},
volume = {67},
number = {2},
pages = {770--777},
year = {2021},
url = {https://doi.org/10.1109/TIT.2020.3037084},
doi = {10.1109/TIT.2020.3037084},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/JinMX21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eusipco/HautecoeurGL21,
author = {C{\'{e}}cile Hautecoeur and
Fran{\c{c}}ois Glineur and
Lieven De Lathauwer},
title = {Hierarchical alternating nonlinear least squares for nonnegative matrix
factorization using rational functions},
booktitle = {29th European Signal Processing Conference, {EUSIPCO} 2021, Dublin,
Ireland, August 23-27, 2021},
pages = {1045--1049},
publisher = {{IEEE}},
year = {2021},
url = {https://doi.org/10.23919/EUSIPCO54536.2021.9615922},
doi = {10.23919/EUSIPCO54536.2021.9615922},
timestamp = {Thu, 09 Dec 2021 12:26:50 +0100},
biburl = {https://dblp.org/rec/conf/eusipco/HautecoeurGL21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fsttcs/FiliotW21,
author = {Emmanuel Filiot and
Sarah Winter},
editor = {Mikolaj Bojanczyk and
Chandra Chekuri},
title = {Synthesizing Computable Functions from Rational Specifications over
Infinite Words},
booktitle = {41st {IARCS} Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, {FSTTCS} 2021, December 15-17, 2021,
Virtual Conference},
series = {LIPIcs},
volume = {213},
pages = {43:1--43:16},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2021},
url = {https://doi.org/10.4230/LIPIcs.FSTTCS.2021.43},
doi = {10.4230/LIPICS.FSTTCS.2021.43},
timestamp = {Tue, 30 Nov 2021 13:59:34 +0100},
biburl = {https://dblp.org/rec/conf/fsttcs/FiliotW21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icira/HuangYZ21,
author = {Weicai Huang and
Kaiming Yang and
Yu Zhu},
editor = {Xin{-}Jun Liu and
Zhenguo Nie and
Jingjun Yu and
Fugui Xie and
Rui Song},
title = {{MIMO} Data-Driven Feedforward Tuning for the Ultra-precision Wafer
Stage Using Rational Basis Functions},
booktitle = {Intelligent Robotics and Applications - 14th International Conference,
{ICIRA} 2021, Yantai, China, October 22-25, 2021, Proceedings, Part
{II}},
series = {Lecture Notes in Computer Science},
volume = {13014},
pages = {353--363},
publisher = {Springer},
year = {2021},
url = {https://doi.org/10.1007/978-3-030-89098-8\_34},
doi = {10.1007/978-3-030-89098-8\_34},
timestamp = {Wed, 03 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icira/HuangYZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/metroi/NicoloZZS21,
author = {Andrea Nicol{\`{o}} and
Silvano Zanuso and
Luca Zoffoli and
Massimo Sacchetti},
title = {The rationale behind the Technogym Functional Threshold Power test},
booktitle = {{IEEE} International Workshop on Metrology for Industry 4.0 {\&}
IoT, MetroInd4.0{\&}IoT 2021, Rome, Italy, June 7-9, 2021},
pages = {203--207},
publisher = {{IEEE}},
year = {2021},
url = {https://doi.org/10.1109/MetroInd4.0IoT51437.2021.9488531},
doi = {10.1109/METROIND4.0IOT51437.2021.9488531},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/metroi/NicoloZZS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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author = {Desong Kong and
Shuhuang Xiang},
title = {Fast linear barycentric rational interpolation for singular functions
via scaled transformations},
journal = {CoRR},
volume = {abs/2101.07949},
year = {2021},
url = {https://arxiv.org/abs/2101.07949},
eprinttype = {arXiv},
eprint = {2101.07949},
timestamp = {Sat, 23 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2101-07949.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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author = {Yiding Lin},
title = {Transfer function interpolation remainder formula of rational Krylov
subspace methods},
journal = {CoRR},
volume = {abs/2102.11915},
year = {2021},
url = {https://arxiv.org/abs/2102.11915},
eprinttype = {arXiv},
eprint = {2102.11915},
timestamp = {Tue, 02 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2102-11915.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-04788,
author = {Niel Van Buggenhout and
Marc Van Barel and
Raf Vandebril},
title = {Generation of orthogonal rational functions by procedures for structured
matrices},
journal = {CoRR},
volume = {abs/2103.04788},
year = {2021},
url = {https://arxiv.org/abs/2103.04788},
eprinttype = {arXiv},
eprint = {2103.04788},
timestamp = {Mon, 15 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-04788.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-05674,
author = {Emmanuel Filiot and
Sarah Winter},
title = {Synthesizing Computable Functions from Rational Specifications over
Infinite Words},
journal = {CoRR},
volume = {abs/2103.05674},
year = {2021},
url = {https://arxiv.org/abs/2103.05674},
eprinttype = {arXiv},
eprint = {2103.05674},
timestamp = {Mon, 24 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-05674.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-08128,
author = {Zhiguo Ding and
Michael E. Zieve},
title = {Tangent-Chebyshev rational maps and Redei functions},
journal = {CoRR},
volume = {abs/2103.08128},
year = {2021},
url = {https://arxiv.org/abs/2103.08128},
eprinttype = {arXiv},
eprint = {2103.08128},
timestamp = {Tue, 23 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-08128.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-09953,
author = {Thomas Trogdon},
title = {Scattering and inverse scattering for the {AKNS} system: {A} rational
function approach},
journal = {CoRR},
volume = {abs/2103.09953},
year = {2021},
url = {https://arxiv.org/abs/2103.09953},
eprinttype = {arXiv},
eprint = {2103.09953},
timestamp = {Tue, 23 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-09953.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2105-07324,
author = {Heather Wilber and
Anil Damle and
Alex Townsend},
title = {Data-driven Algorithms for signal processing with rational functions},
journal = {CoRR},
volume = {abs/2105.07324},
year = {2021},
url = {https://arxiv.org/abs/2105.07324},
eprinttype = {arXiv},
eprint = {2105.07324},
timestamp = {Tue, 18 May 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2105-07324.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2105-13181,
author = {Namita Behera},
title = {Backward Error of Matrix Rational Function},
journal = {CoRR},
volume = {abs/2105.13181},
year = {2021},
url = {https://arxiv.org/abs/2105.13181},
eprinttype = {arXiv},
eprint = {2105.13181},
timestamp = {Tue, 01 Jun 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2105-13181.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2107-12074,
author = {Angelo Alberto Casulli and
Igor Simunec},
title = {Computation of generalized matrix functions with rational Krylov methods},
journal = {CoRR},
volume = {abs/2107.12074},
year = {2021},
url = {https://arxiv.org/abs/2107.12074},
eprinttype = {arXiv},
eprint = {2107.12074},
timestamp = {Thu, 29 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2107-12074.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2108-02036,
author = {Martin Ferus and
Vitalii G. Kurbatov and
Irina V. Kurbatova},
title = {An estimate of approximation of an analytic function of a matrix by
a rational function},
journal = {CoRR},
volume = {abs/2108.02036},
year = {2021},
url = {https://arxiv.org/abs/2108.02036},
eprinttype = {arXiv},
eprint = {2108.02036},
timestamp = {Tue, 09 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2108-02036.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2108-09357,
author = {Elior Kalfon and
Vinesha Peiris and
Nir Sharon and
Nadia Sukhorukova and
Julien Ugon},
title = {Flexible rational approximation for matrix functions},
journal = {CoRR},
volume = {abs/2108.09357},
year = {2021},
url = {https://arxiv.org/abs/2108.09357},
eprinttype = {arXiv},
eprint = {2108.09357},
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biburl = {https://dblp.org/rec/journals/corr/abs-2108-09357.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/corr/abs-2108-11713,
author = {Hideaki Iiduka},
title = {The Number of Steps Needed for Nonconvex Optimization of a Deep Learning
Optimizer is a Rational Function of Batch Size},
journal = {CoRR},
volume = {abs/2108.11713},
year = {2021},
url = {https://arxiv.org/abs/2108.11713},
eprinttype = {arXiv},
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biburl = {https://dblp.org/rec/journals/corr/abs-2108-11713.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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author = {Weitao Sun},
title = {Data-driven rational function neural networks: a new method for generating
analytical models of rock physics},
journal = {CoRR},
volume = {abs/2109.08813},
year = {2021},
url = {https://arxiv.org/abs/2109.08813},
eprinttype = {arXiv},
eprint = {2109.08813},
timestamp = {Mon, 27 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2109-08813.bib},
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author = {Laura Monroe},
title = {A Few Identities of the Takagi Function on Dyadic Rationals},
journal = {CoRR},
volume = {abs/2111.05996},
year = {2021},
url = {https://arxiv.org/abs/2111.05996},
eprinttype = {arXiv},
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biburl = {https://dblp.org/rec/journals/corr/abs-2111-05996.bib},
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@phdthesis{DBLP:phd/hal/Zappatore20,
author = {Ilaria Zappatore},
title = {Simultaneous Rational Function Reconstruction and applications to
Algebraic Coding Theory. (Reconstruction Rationnelle Simultan{\'{e}}e
et applications {\`{a}} la Th{\'{e}}orie des Codes Correcteurs
d'Erreurs)},
school = {University of Montpellier, France},
year = {2020},
url = {https://tel.archives-ouvertes.fr/tel-03013914},
timestamp = {Tue, 12 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/phd/hal/Zappatore20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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author = {Rasul Choupanzadeh and
Ata Zadehgol},
title = {Stability, Causality, and Passivity Analysis of Canonical Equivalent
Circuits of Improper Rational Transfer Functions With Real Poles and
Residues},
journal = {{IEEE} Access},
volume = {8},
pages = {125149--125162},
year = {2020},
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author = {Manroop Turna and
Yang Li and
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title = {Estimation of Diaper Condition Based on Antenna Impedance Variation
Through Rational Function Approximation},
journal = {{IEEE} Access},
volume = {8},
pages = {2441--2446},
year = {2020},
url = {https://doi.org/10.1109/ACCESS.2019.2962186},
doi = {10.1109/ACCESS.2019.2962186},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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author = {Hui Yi and
Xiangning Chen and
Decheng Wang and
Shuhan Du and
Ningbo Guo},
title = {Methods for the Epipolarity Analysis of Pushbroom Satellite Images
Based on the Rational Function Model},
journal = {{IEEE} Access},
volume = {8},
pages = {103973--103983},
year = {2020},
url = {https://doi.org/10.1109/ACCESS.2020.2999393},
doi = {10.1109/ACCESS.2020.2999393},
timestamp = {Tue, 30 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/access/YiCWDG20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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author = {Sihem Mesnager and
Kwang Ho Kim and
Myong Song Jo},
title = {On the number of the rational zeros of linearized polynomials and
the second-order nonlinearity of cubic Boolean functions},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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title = {Two meshless methods based on local radial basis function and barycentric
rational interpolation for solving 2D viscoelastic wave equation},
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year = {2020},
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biburl = {https://dblp.org/rec/journals/cma/Oruc20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cmm/PuchuriGR20,
author = {Liliana Puchuri and
Eduardo Gonz{\'{a}}lez{-}Olivares and
Alejandro Rojas{-}Palma},
title = {Multistability in a Leslie-Gower-type predation model with a rational
nonmonotonic functional response and generalist predators},
journal = {Comput. Math. Methods},
volume = {2},
number = {2},
year = {2020},
url = {https://doi.org/10.1002/cmm4.1070},
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title = {Saddle points of rational functions},
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number = {3},
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year = {2020},
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@article{DBLP:journals/dcc/FerragutiM20,
author = {Andrea Ferraguti and
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title = {Full classification of permutation rational functions and complete
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author = {Xiang{-}Dong Hou and
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title = {On a type of permutation rational functions over finite fields},
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pages = {101758},
year = {2020},
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pages = {120--126},
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@article{DBLP:journals/ijcta/FilaretovG20,
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volume = {2020},
pages = {4378409:1--4378409:7},
year = {2020},
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biburl = {https://dblp.org/rec/journals/ijmmsc/ArunratN20.bib},
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Xiaoqiang Xu and
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title = {The convergence properties of orthogonal rational functions on the
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author = {Safar Irandoust{-}Pakchin and
Somayeh Abdi{-}Mazraeh and
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title = {Construction of new generating function based on linear barycentric
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author = {Yue Cai and
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title = {Vector parking functions with periodic boundaries and rational parking
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author = {Dun Qiu and
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author = {Xiaoning Zeng and
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pages = {1--21},
year = {2020},
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author = {Micha{\"{e}}l Cadilhac and
Olivier Carton and
Charles Paperman},
title = {Continuity of Functional Transducers: {A} Profinite Study of Rational
Functions},
journal = {Log. Methods Comput. Sci.},
volume = {16},
number = {1},
year = {2020},
url = {https://doi.org/10.23638/LMCS-16(1:24)2020},
doi = {10.23638/LMCS-16(1:24)2020},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/lmcs/CadilhacCP19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/MoirCMX20,
author = {Robert H. C. Moir and
Robert M. Corless and
Marc Moreno Maza and
Ning Xie},
title = {Symbolic-numeric integration of rational functions},
journal = {Numer. Algorithms},
volume = {83},
number = {4},
pages = {1295--1320},
year = {2020},
url = {https://doi.org/10.1007/s11075-019-00726-6},
doi = {10.1007/S11075-019-00726-6},
timestamp = {Fri, 22 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/MoirCMX20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigpro/XiongCZ20,
author = {Dan Xiong and
Li Chai and
Jingxin Zhang},
title = {Uncertainty principle and sparse reconstruction in pairs of orthonormal
rational function bases},
journal = {Signal Process.},
volume = {166},
year = {2020},
url = {https://doi.org/10.1016/j.sigpro.2019.07.004},
doi = {10.1016/J.SIGPRO.2019.07.004},
timestamp = {Tue, 21 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/sigpro/XiongCZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/Bartecki20,
author = {Krzysztof Bartecki},
title = {Rational Transfer Function Model for a Double-Pipe Parallel-Flow Heat
Exchanger},
journal = {Symmetry},
volume = {12},
number = {8},
pages = {1212},
year = {2020},
url = {https://doi.org/10.3390/sym12081212},
doi = {10.3390/SYM12081212},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/symmetry/Bartecki20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcasII/LimaS20,
author = {Juliano B. Lima and
Ricardo M. Campello de Souza},
title = {Tangent Function and Chebyshev-Like Rational Maps Over Finite Fields},
journal = {{IEEE} Trans. Circuits Syst. {II} Express Briefs},
volume = {67-II},
number = {4},
pages = {775--779},
year = {2020},
url = {https://doi.org/10.1109/TCSII.2019.2923879},
doi = {10.1109/TCSII.2019.2923879},
timestamp = {Mon, 06 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcasII/LimaS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/JinKZ20,
author = {Lingfei Jin and
Haibin Kan and
Yu Zhang},
title = {Constructions of Locally Repairable Codes With Multiple Recovering
Sets via Rational Function Fields},
journal = {{IEEE} Trans. Inf. Theory},
volume = {66},
number = {1},
pages = {202--209},
year = {2020},
url = {https://doi.org/10.1109/TIT.2019.2946627},
doi = {10.1109/TIT.2019.2946627},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/JinKZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/JinMX20,
author = {Lingfei Jin and
Liming Ma and
Chaoping Xing},
title = {Construction of Optimal Locally Repairable Codes via Automorphism
Groups of Rational Function Fields},
journal = {{IEEE} Trans. Inf. Theory},
volume = {66},
number = {1},
pages = {210--221},
year = {2020},
url = {https://doi.org/10.1109/TIT.2019.2946637},
doi = {10.1109/TIT.2019.2946637},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/JinMX20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/KaltofenPY20,
author = {Erich L. Kaltofen and
Cl{\'{e}}ment Pernet and
Zhi{-}Hong Yang},
editor = {Fran{\c{c}}ois Boulier and
Matthew England and
Timur M. Sadykov and
Evgenii V. Vorozhtsov},
title = {Hermite Rational Function Interpolation with Error Correction},
booktitle = {Computer Algebra in Scientific Computing - 22nd International Workshop,
{CASC} 2020, Linz, Austria, September 14-18, 2020, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {12291},
pages = {335--357},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-60026-6\_19},
doi = {10.1007/978-3-030-60026-6\_19},
timestamp = {Mon, 31 Jan 2022 07:36:54 +0100},
biburl = {https://dblp.org/rec/conf/casc/KaltofenPY20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ccta/PurscheCT20,
author = {Thomas Pursche and
Roland Clau{\ss} and
Bernd Tibken},
title = {Estimation of the Domain of Attraction for Uncertain Nonlinear Autonomous
Systems via rational Lyapunov functions: {A} Bezoutian Approach},
booktitle = {2020 {IEEE} Conference on Control Technology and Applications, {CCTA}
2020, Montreal, QC, Canada, August 24-26, 2020},
pages = {654--659},
publisher = {{IEEE}},
year = {2020},
url = {https://doi.org/10.1109/CCTA41146.2020.9206339},
doi = {10.1109/CCTA41146.2020.9206339},
timestamp = {Wed, 07 Oct 2020 19:50:15 +0200},
biburl = {https://dblp.org/rec/conf/ccta/PurscheCT20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/comso/KumarM20,
author = {Udai Kumar and
Partha Sarathi Mandal},
editor = {Biplab Das and
Ripon Patgiri and
Sivaji Bandyopadhyay and
Valentina Emilia Balas},
title = {Dynamics of a Class of Modified Leslie-Gower Predator-Prey Model with
Strong Allee Effect on Prey and Non-monotonic Rational Functional
Response},
booktitle = {Modeling, Simulation and Optimization - Proceedings of CoMSO 2020,
Virtual Event / Silchar, India, August 3-5, 2020},
series = {Smart Innovation, Systems and Technologies},
volume = {206},
pages = {515--530},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-981-15-9829-6\_41},
doi = {10.1007/978-981-15-9829-6\_41},
timestamp = {Tue, 17 Aug 2021 21:08:53 +0200},
biburl = {https://dblp.org/rec/conf/comso/KumarM20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/GuerriniLZ20,
author = {Eleonora Guerrini and
Romain Lebreton and
Ilaria Zappatore},
editor = {Ioannis Z. Emiris and
Lihong Zhi},
title = {On the uniqueness of simultaneous rational function reconstruction},
booktitle = {{ISSAC} '20: International Symposium on Symbolic and Algebraic Computation,
Kalamata, Greece, July 20-23, 2020},
pages = {226--233},
publisher = {{ACM}},
year = {2020},
url = {https://doi.org/10.1145/3373207.3404051},
doi = {10.1145/3373207.3404051},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/issac/GuerriniLZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/kka/Bartecki20,
author = {Krzysztof Bartecki},
editor = {Andrzej Bartoszewicz and
Jacek Kabzinski and
Janusz Kacprzyk},
title = {Rational Transfer Function Approximation Model for 2 {\(^\times\)}
2 Hyperbolic Systems with Collocated Boundary Inputs},
booktitle = {Advanced, Contemporary Control - Proceedings of {KKA} 2020 - The 20th
Polish Control Conference, {\L}{\'{o}}d{\'{z}}, Poland,
2020},
series = {Advances in Intelligent Systems and Computing},
volume = {1196},
pages = {56--67},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-50936-1\_5},
doi = {10.1007/978-3-030-50936-1\_5},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/kka/Bartecki20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lata/Finkel20,
author = {Olivier Finkel},
editor = {Alberto Leporati and
Carlos Mart{\'{\i}}n{-}Vide and
Dana Shapira and
Claudio Zandron},
title = {The Automatic Baire Property and an Effective Property of {\o}mega-Rational
Functions},
booktitle = {Language and Automata Theory and Applications - 14th International
Conference, {LATA} 2020, Milan, Italy, March 4-6, 2020, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {12038},
pages = {303--314},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-40608-0\_21},
doi = {10.1007/978-3-030-40608-0\_21},
timestamp = {Tue, 03 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/lata/Finkel20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/simutools/ChenZWZ20,
author = {Lei Chen and
Lu Zhang and
Mengjia Wu and
Jianqiang Zhao},
editor = {Houbing Song and
Dingde Jiang},
title = {Fast Rational Lanczos Method for the Toeplitz Symmetric Positive Semidefinite
Matrix Functions},
booktitle = {Simulation Tools and Techniques - 12th {EAI} International Conference,
SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part
{I}},
series = {Lecture Notes of the Institute for Computer Sciences, Social Informatics
and Telecommunications Engineering},
volume = {369},
pages = {164--172},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-72792-5\_15},
doi = {10.1007/978-3-030-72792-5\_15},
timestamp = {Mon, 16 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/simutools/ChenZWZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/softcomp/Galvez0F020,
author = {Akemi G{\'{a}}lvez and
Iztok Fister and
Iztok Fister Jr. and
Andr{\'{e}}s Iglesias},
editor = {{\'{A}}lvaro Herrero and
Carlos Cambra and
Daniel Urda and
Javier Sedano and
H{\'{e}}ctor Quinti{\'{a}}n and
Emilio Corchado},
title = {Functional Networks for Image Segmentation of Cutaneous Lesions with
Rational Curves},
booktitle = {15th International Conference on Soft Computing Models in Industrial
and Environmental Applications, {SOCO} 2020, Burgos, Spain, 16-18
September 2020},
series = {Advances in Intelligent Systems and Computing},
volume = {1268},
pages = {780--789},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-57802-2\_75},
doi = {10.1007/978-3-030-57802-2\_75},
timestamp = {Mon, 13 Feb 2023 21:54:28 +0100},
biburl = {https://dblp.org/rec/conf/softcomp/Galvez0F020.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/waifi/BeregMMSS20,
author = {Sergey Bereg and
Brian Malouf and
Linda Morales and
Thomas Stanley and
Ivan Hal Sudborough},
editor = {Jean{-}Claude Bajard and
Alev Topuzoglu},
title = {Improved Lower Bounds for Permutation Arrays Using Permutation Rational
Functions},
booktitle = {Arithmetic of Finite Fields - 8th International Workshop, {WAIFI}
2020, Rennes, France, July 6-8, 2020, Revised Selected and Invited
Papers},
series = {Lecture Notes in Computer Science},
volume = {12542},
pages = {234--252},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-68869-1\_14},
doi = {10.1007/978-3-030-68869-1\_14},
timestamp = {Tue, 02 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/waifi/BeregMMSS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-08748,
author = {Eleonora Guerrini and
Romain Lebreton and
Ilaria Zappatore},
title = {On the Uniqueness of Simultaneous Rational Function Reconstruction},
journal = {CoRR},
volume = {abs/2002.08748},
year = {2020},
url = {https://arxiv.org/abs/2002.08748},
eprinttype = {arXiv},
eprint = {2002.08748},
timestamp = {Mon, 02 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2002-08748.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-01793,
author = {Eleonora Guerrini and
Romain Lebreton and
Ilaria Zappatore},
title = {Enhancing simultaneous rational function recovery: adaptive error
correction capability and new bounds for applications},
journal = {CoRR},
volume = {abs/2003.01793},
year = {2020},
url = {https://arxiv.org/abs/2003.01793},
eprinttype = {arXiv},
eprint = {2003.01793},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-01793.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-06410,
author = {Ion Victor Gosea and
Stefan G{\"{u}}ttel},
title = {Algorithms for the rational approximation of matrix-valued functions},
journal = {CoRR},
volume = {abs/2003.06410},
year = {2020},
url = {https://arxiv.org/abs/2003.06410},
eprinttype = {arXiv},
eprint = {2003.06410},
timestamp = {Tue, 17 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-06410.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-10072,
author = {Sergey Bereg and
Brian Malouf and
Linda Morales and
Thomas Stanley and
Ivan Hal Sudborough},
title = {Improved Lower Bounds for Permutation Arrays Using Permutation Rational
Functions},
journal = {CoRR},
volume = {abs/2003.10072},
year = {2020},
url = {https://arxiv.org/abs/2003.10072},
eprinttype = {arXiv},
eprint = {2003.10072},
timestamp = {Tue, 24 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-10072.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2004-00059,
author = {Abdeslem Hafid Bentbib and
M. El Ghomari and
Khalide Jbilou},
title = {The global extended-rational Arnoldi method for matrix function approximation},
journal = {CoRR},
volume = {abs/2004.00059},
year = {2020},
url = {https://arxiv.org/abs/2004.00059},
eprinttype = {arXiv},
eprint = {2004.00059},
timestamp = {Wed, 08 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2004-00059.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2004-01463,
author = {Jonas Klappert and
Sven Yannick Klein and
Fabian Lange},
title = {Interpolation of Dense and Sparse Rational Functions and other Improvements
in FireFly},
journal = {CoRR},
volume = {abs/2004.01463},
year = {2020},
url = {https://arxiv.org/abs/2004.01463},
eprinttype = {arXiv},
eprint = {2004.01463},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2004-01463.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2005-02736,
author = {Ion Victor Gosea and
Athanasios C. Antoulas},
title = {Rational approximation of the absolute value function from measurements:
a numerical study of recent methods},
journal = {CoRR},
volume = {abs/2005.02736},
year = {2020},
url = {https://arxiv.org/abs/2005.02736},
eprinttype = {arXiv},
eprint = {2005.02736},
timestamp = {Sat, 09 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2005-02736.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2007-11976,
author = {Mahesh Chandra},
title = {Comparative Analysis of Polynomial and Rational Approximations of
Hyperbolic Tangent Function for {VLSI} Implementation},
journal = {CoRR},
volume = {abs/2007.11976},
year = {2020},
url = {https://arxiv.org/abs/2007.11976},
eprinttype = {arXiv},
eprint = {2007.11976},
timestamp = {Wed, 29 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2007-11976.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2008-05446,
author = {Peter J. Baddoo},
title = {The AAAtrig algorithm for rational approximation of periodic functions},
journal = {CoRR},
volume = {abs/2008.05446},
year = {2020},
url = {https://arxiv.org/abs/2008.05446},
eprinttype = {arXiv},
eprint = {2008.05446},
timestamp = {Mon, 17 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2008-05446.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2008-11501,
author = {Bernhard Beckermann and
Alice Cortinovis and
Daniel Kressner and
Marcel Schweitzer},
title = {Low-rank updates of matrix functions {II:} Rational Krylov methods},
journal = {CoRR},
volume = {abs/2008.11501},
year = {2020},
url = {https://arxiv.org/abs/2008.11501},
eprinttype = {arXiv},
eprint = {2008.11501},
timestamp = {Tue, 15 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2008-11501.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2011-02721,
author = {R. D{\'{\i}}az Mill{\'{a}}n and
Nadezda Sukhorukova and
Julien Ugon},
title = {An algorithm for best generalised rational approximation of continuous
functions},
journal = {CoRR},
volume = {abs/2011.02721},
year = {2020},
url = {https://arxiv.org/abs/2011.02721},
eprinttype = {arXiv},
eprint = {2011.02721},
timestamp = {Mon, 09 Nov 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2011-02721.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aaecc/ChubbP019,
author = {Kaitlyn Chubb and
Daniel Panario and
Qiang Wang},
title = {Fixed points of rational functions satisfying the Carlitz property},
journal = {Appl. Algebra Eng. Commun. Comput.},
volume = {30},
number = {5},
pages = {417--439},
year = {2019},
url = {https://doi.org/10.1007/s00200-019-00382-2},
doi = {10.1007/S00200-019-00382-2},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aaecc/ChubbP019.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/Pillwein19,
author = {Veronika Pillwein},
title = {On the positivity of the Gillis-Reznick-Zeilberger rational function},
journal = {Adv. Appl. Math.},
volume = {104},
pages = {75--84},
year = {2019},
url = {https://doi.org/10.1016/j.aam.2018.11.003},
doi = {10.1016/J.AAM.2018.11.003},
timestamp = {Wed, 24 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aam/Pillwein19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/KarimSS19,
author = {Samsul Ariffin Abdul Karim and
Azizan Saaban and
V{\'{a}}clav Skala},
title = {Range-Restricted Surface Interpolation Using Rational Bi-Cubic Spline
Functions With 12 Parameters},
journal = {{IEEE} Access},
volume = {7},
pages = {104992--105007},
year = {2019},
url = {https://doi.org/10.1109/ACCESS.2019.2931454},
doi = {10.1109/ACCESS.2019.2931454},
timestamp = {Wed, 21 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/access/KarimSS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/KatiyarCK19,
author = {Saurabh Kumar Katiyar and
A. K. B. Chand and
G. Saravana Kumar},
title = {A new class of rational cubic spline fractal interpolation function
and its constrained aspects},
journal = {Appl. Math. Comput.},
volume = {346},
pages = {319--335},
year = {2019},
url = {https://doi.org/10.1016/j.amc.2018.10.036},
doi = {10.1016/J.AMC.2018.10.036},
timestamp = {Wed, 18 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/KatiyarCK19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/MiRQZ19,
author = {Wen Mi and
Hangmei Rao and
Tao Qian and
Shouming Zhong},
title = {Identification of discrete Hammerstein systems by using adaptive finite
rational orthogonal basis functions},
journal = {Appl. Math. Comput.},
volume = {361},
pages = {354--364},
year = {2019},
url = {https://doi.org/10.1016/j.amc.2019.05.051},
doi = {10.1016/J.AMC.2019.05.051},
timestamp = {Wed, 08 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/MiRQZ19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/JainNB19,
author = {Rishabh Jain and
Sridharakumar Narasimhan and
Nirav P. Bhatt},
title = {A priori parameter identifiability in models with non-rational functions},
journal = {Autom.},
volume = {109},
year = {2019},
url = {https://doi.org/10.1016/j.automatica.2019.108513},
doi = {10.1016/J.AUTOMATICA.2019.108513},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/automatica/JainNB19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cphysics/AvellarCDM19,
author = {J. Avellar and
M. S. Cardoso and
L. G. S. Duarte and
L. A. C. P. da Mota},
title = {Dealing with rational second order ordinary differential equations
where both Darboux and Lie find it difficult: The S-function method},
journal = {Comput. Phys. Commun.},
volume = {234},
pages = {302--314},
year = {2019},
url = {https://doi.org/10.1016/j.cpc.2018.05.009},
doi = {10.1016/J.CPC.2018.05.009},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cphysics/AvellarCDM19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/elektrik/TariqIHS19,
author = {Zoha Tariq and
Farheen Ibraheem and
Malik Zawwar Hussain and
Muhammad Sarfraz},
title = {Monotone data modeling using rational functions},
journal = {Turkish J. Electr. Eng. Comput. Sci.},
volume = {27},
number = {3},
pages = {2331--2343},
year = {2019},
url = {https://doi.org/10.3906/elk-1806-223},
doi = {10.3906/ELK-1806-223},
timestamp = {Thu, 16 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/elektrik/TariqIHS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijgs/KumarD19,
author = {Beri Venkatachalapathy Senthil Kumar and
Hemen Dutta},
title = {Fuzzy stability of a rational functional equation and its relevance
to system design},
journal = {Int. J. Gen. Syst.},
volume = {48},
number = {2},
pages = {157--169},
year = {2019},
url = {https://doi.org/10.1080/03081079.2018.1523904},
doi = {10.1080/03081079.2018.1523904},
timestamp = {Thu, 20 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijgs/KumarD19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ivc/YaoWZB19,
author = {Xunxiang Yao and
Qiang Wu and
Peng Zhang and
Fangxun Bao},
title = {Adaptive rational fractal interpolation function for image super-resolution
via local fractal analysis},
journal = {Image Vis. Comput.},
volume = {82},
pages = {39--49},
year = {2019},
url = {https://doi.org/10.1016/j.imavis.2019.02.002},
doi = {10.1016/J.IMAVIS.2019.02.002},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ivc/YaoWZB19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ErdoganDO19,
author = {Mahmut Sami Erdogan and
{\c{C}}etin Disib{\"{u}}y{\"{u}}k and
{\"{O}}zlem Ege Oru{\c{c}}},
title = {An alternative distribution function estimation method using rational
Bernstein polynomials},
journal = {J. Comput. Appl. Math.},
volume = {353},
pages = {232--242},
year = {2019},
url = {https://doi.org/10.1016/j.cam.2018.12.033},
doi = {10.1016/J.CAM.2018.12.033},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ErdoganDO19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/AcetoBDN19,
author = {Lidia Aceto and
Daniele Bertaccini and
Fabio Durastante and
Paolo Novati},
title = {Rational Krylov methods for functions of matrices with applications
to fractional partial differential equations},
journal = {J. Comput. Phys.},
volume = {396},
pages = {470--482},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.07.009},
doi = {10.1016/J.JCP.2019.07.009},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/AcetoBDN19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jintseq/Barnea19,
author = {Tal Barnea},
title = {The Riemann Zeta Function and the Fractional Part of Rational Powers},
journal = {J. Integer Seq.},
volume = {22},
number = {3},
pages = {19.3.6},
year = {2019},
url = {https://cs.uwaterloo.ca/journals/JIS/VOL22/Barnea/barnea4.html},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jintseq/Barnea19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcs/HuangB19,
author = {Zhu Huang and
John P. Boyd},
title = {When integration sparsification fails: Banded Galerkin discretizations
for Hermite functions, rational Chebyshev functions and sinh-mapped
Fourier functions on an infinite domain, and Chebyshev methods for
solutions with C{\(\infty\)} endpoint singularities},
journal = {Math. Comput. Simul.},
volume = {160},
pages = {82--102},
year = {2019},
url = {https://doi.org/10.1016/j.matcom.2018.12.003},
doi = {10.1016/J.MATCOM.2018.12.003},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mcs/HuangB19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/GopalT19,
author = {Abinand Gopal and
Lloyd N. Trefethen},
title = {Representation of conformal maps by rational functions},
journal = {Numerische Mathematik},
volume = {142},
number = {2},
pages = {359--382},
year = {2019},
url = {https://doi.org/10.1007/s00211-019-01023-z},
doi = {10.1007/S00211-019-01023-Z},
timestamp = {Mon, 29 Apr 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/GopalT19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/GopalT19,
author = {Abinand Gopal and
Lloyd N. Trefethen},
title = {Solving Laplace Problems with Corner Singularities via Rational Functions},
journal = {{SIAM} J. Numer. Anal.},
volume = {57},
number = {5},
pages = {2074--2094},
year = {2019},
url = {https://doi.org/10.1137/19M125947X},
doi = {10.1137/19M125947X},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/GopalT19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/SalimiB19,
author = {Mehdi Salimi and
Ramandeep Behl},
title = {Sixteenth-Order Optimal Iterative Scheme Based on Inverse Interpolatory
Rational Function for Nonlinear Equations},
journal = {Symmetry},
volume = {11},
number = {5},
pages = {691},
year = {2019},
url = {https://doi.org/10.3390/sym11050691},
doi = {10.3390/SYM11050691},
timestamp = {Sun, 25 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/SalimiB19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/MoreiraSCS19,
author = {Luciano G. Moreira and
Jo{\~{a}}o Manoel Gomes da Silva and
Daniel Ferreira Coutinho and
Alexandre Seuret},
title = {Stability analysis of rational nonlinear sampled-data control systems:
a looped-functional approach},
booktitle = {2019 American Control Conference, {ACC} 2019, Philadelphia, PA, USA,
July 10-12, 2019},
pages = {2414--2419},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.23919/ACC.2019.8814328},
doi = {10.23919/ACC.2019.8814328},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/amcc/MoreiraSCS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/ManngardT19,
author = {Mikael Manng{\aa}rd and
Hannu T. Toivonen},
title = {Identification of low-order models using rational orthonormal basis
functions},
booktitle = {58th {IEEE} Conference on Decision and Control, {CDC} 2019, Nice,
France, December 11-13, 2019},
pages = {1728--1733},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.1109/CDC40024.2019.9030161},
doi = {10.1109/CDC40024.2019.9030161},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/ManngardT19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/enumath/BertacciniD19,
author = {Daniele Bertaccini and
Fabio Durastante},
editor = {Fred J. Vermolen and
Cornelis Vuik},
title = {Computing Function of Large Matrices by a Preconditioned Rational
Krylov Method},
booktitle = {Numerical Mathematics and Advanced Applications {ENUMATH} 2019 - European
Conference, Egmond aan Zee, The Netherlands, September 30 - October
4},
series = {Lecture Notes in Computational Science and Engineering},
volume = {139},
pages = {343--351},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-3-030-55874-1\_33},
doi = {10.1007/978-3-030-55874-1\_33},
timestamp = {Mon, 28 Aug 2023 21:17:43 +0200},
biburl = {https://dblp.org/rec/conf/enumath/BertacciniD19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icmc2/ChandR19,
author = {A. K. B. Chand and
K. M. Reddy},
editor = {Debasis Giri and
Anthony T. S. Ho and
S. Ponnusamy and
Nai{-}Wei Lo},
title = {Monotonicity Preserving Rational Cubic Graph-Directed Fractal Interpolation
Functions},
booktitle = {Proceedings of the Fifth International Conference on Mathematics and
Computing - {ICMC} 2019, Bhubaneswar, India, February 6-9, 2019},
series = {Advances in Intelligent Systems and Computing},
volume = {1170},
pages = {253--267},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-981-15-5411-7\_20},
doi = {10.1007/978-981-15-5411-7\_20},
timestamp = {Fri, 04 Dec 2020 13:29:28 +0100},
biburl = {https://dblp.org/rec/conf/icmc2/ChandR19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icmc2/JhaC19,
author = {Sangita Jha and
A. K. B. Chand},
editor = {Debasis Giri and
Anthony T. S. Ho and
S. Ponnusamy and
Nai{-}Wei Lo},
title = {Zipper Rational Quadratic Fractal Interpolation Functions},
booktitle = {Proceedings of the Fifth International Conference on Mathematics and
Computing - {ICMC} 2019, Bhubaneswar, India, February 6-9, 2019},
series = {Advances in Intelligent Systems and Computing},
volume = {1170},
pages = {229--241},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-981-15-5411-7\_18},
doi = {10.1007/978-981-15-5411-7\_18},
timestamp = {Fri, 04 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icmc2/JhaC19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icmc2/KatiyarC19,
author = {Saurabh Kumar Katiyar and
A. K. B. Chand},
editor = {Debasis Giri and
Anthony T. S. Ho and
S. Ponnusamy and
Nai{-}Wei Lo},
title = {A-Fractal Rational Functions and Their Positivity Aspects},
booktitle = {Proceedings of the Fifth International Conference on Mathematics and
Computing - {ICMC} 2019, Bhubaneswar, India, February 6-9, 2019},
series = {Advances in Intelligent Systems and Computing},
volume = {1170},
pages = {205--215},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-981-15-5411-7\_16},
doi = {10.1007/978-981-15-5411-7\_16},
timestamp = {Fri, 04 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icmc2/KatiyarC19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icmssp/LuGW19,
author = {Qiankun Lu and
Zeyu Gao and
Chao Wang},
title = {Rational Function Model Based Color Correction in Image Stitching
Applications},
booktitle = {Proceedings of the 4th International Conference on Multimedia Systems
and Signal Processing, {ICMSSP} 2019, Guangzhou, China, May 10-12,
2019},
pages = {200--205},
publisher = {{ACM}},
year = {2019},
url = {https://doi.org/10.1145/3330393.3330398},
doi = {10.1145/3330393.3330398},
timestamp = {Tue, 26 Sep 2023 10:38:37 +0200},
biburl = {https://dblp.org/rec/conf/icmssp/LuGW19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/ChenDZ19,
author = {Shaoshi Chen and
Lixin Du and
Chaochao Zhu},
editor = {James H. Davenport and
Dongming Wang and
Manuel Kauers and
Russell J. Bradford},
title = {Existence Problem of Telescopers for Rational Functions in Three Variables:
the Mixed Cases},
booktitle = {Proceedings of the 2019 on International Symposium on Symbolic and
Algebraic Computation, {ISSAC} 2019, Beijing, China, July 15-18, 2019},
pages = {82--89},
publisher = {{ACM}},
year = {2019},
url = {https://doi.org/10.1145/3326229.3326231},
doi = {10.1145/3326229.3326231},
timestamp = {Wed, 31 Jan 2024 21:56:28 +0100},
biburl = {https://dblp.org/rec/conf/issac/ChenDZ19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/numta/BelliniM19,
author = {Emanuele Bellini and
Nadir Murru},
editor = {Yaroslav D. Sergeyev and
Dmitri E. Kvasov},
title = {A Multi-factor RSA-like Scheme with Fast Decryption Based on R{\'{e}}dei
Rational Functions over the Pell Hyperbola},
booktitle = {Numerical Computations: Theory and Algorithms - Third International
Conference, {NUMTA} 2019, Crotone, Italy, June 15-21, 2019, Revised
Selected Papers, Part {I}},
series = {Lecture Notes in Computer Science},
volume = {11973},
pages = {343--357},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-3-030-39081-5\_30},
doi = {10.1007/978-3-030-39081-5\_30},
timestamp = {Tue, 03 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/numta/BelliniM19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-01180,
author = {Dima Grigoriev},
title = {Decomposing tropical rational functions},
journal = {CoRR},
volume = {abs/1901.01180},
year = {2019},
url = {http://arxiv.org/abs/1901.01180},
eprinttype = {arXiv},
eprint = {1901.01180},
timestamp = {Sun, 03 Feb 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-01180.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-02360,
author = {Thanh{-}Hieu Le and
Nhat{-}Thien Pham},
title = {Sum-of-square-of-rational-function based representations of positive
semidefinite polynomial matrices},
journal = {CoRR},
volume = {abs/1901.02360},
year = {2019},
url = {http://arxiv.org/abs/1901.02360},
eprinttype = {arXiv},
eprint = {1901.02360},
timestamp = {Sun, 03 Feb 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-02360.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-09377,
author = {Shaoshi Chen and
Lixin Du and
Chaochao Zhu},
title = {Existence Problem of Telescopers for Rational Functions in Three Variables:
the Mixed Cases},
journal = {CoRR},
volume = {abs/1901.09377},
year = {2019},
url = {http://arxiv.org/abs/1901.09377},
eprinttype = {arXiv},
eprint = {1901.09377},
timestamp = {Sat, 02 Feb 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-09377.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1904-00009,
author = {Jonas Klappert and
Fabian Lange},
title = {Reconstructing Rational Functions with FireFly},
journal = {CoRR},
volume = {abs/1904.00009},
year = {2019},
url = {http://arxiv.org/abs/1904.00009},
eprinttype = {arXiv},
eprint = {1904.00009},
timestamp = {Sun, 25 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1904-00009.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1904-11614,
author = {Shaoshi Chen and
Qing{-}Hu Hou and
Hui Huang and
George Labahn and
Rong{-}Hua Wang},
title = {Constructing minimal telescopers for rational functions in three discrete
variables},
journal = {CoRR},
volume = {abs/1904.11614},
year = {2019},
url = {http://arxiv.org/abs/1904.11614},
eprinttype = {arXiv},
eprint = {1904.11614},
timestamp = {Thu, 02 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1904-11614.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1905-04187,
author = {Stephen Melczer and
Bruno Salvy},
title = {Effective Coefficient Asymptotics of Multivariate Rational Functions
via Semi-Numerical Algorithms for Polynomial Systems},
journal = {CoRR},
volume = {abs/1905.04187},
year = {2019},
url = {http://arxiv.org/abs/1905.04187},
eprinttype = {arXiv},
eprint = {1905.04187},
timestamp = {Mon, 27 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1905-04187.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1906-11326,
author = {Evan S. Gawlik and
Yuji Nakatsukasa},
title = {Approximating the pth Root by Composite Rational Functions},
journal = {CoRR},
volume = {abs/1906.11326},
year = {2019},
url = {http://arxiv.org/abs/1906.11326},
eprinttype = {arXiv},
eprint = {1906.11326},
timestamp = {Mon, 01 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1906-11326.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1907-05508,
author = {Tovohery Hajatiana Randrianarisoa and
Rakhi Pratihar},
title = {On some automorphisms of rational functions and their applications
in rank metric codes},
journal = {CoRR},
volume = {abs/1907.05508},
year = {2019},
url = {http://arxiv.org/abs/1907.05508},
eprinttype = {arXiv},
eprint = {1907.05508},
timestamp = {Wed, 17 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1907-05508.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-02032,
author = {Stefano Massei and
Leonardo Robol},
title = {Rational Krylov for Stieltjes matrix functions: convergence and pole
selection},
journal = {CoRR},
volume = {abs/1908.02032},
year = {2019},
url = {http://arxiv.org/abs/1908.02032},
eprinttype = {arXiv},
eprint = {1908.02032},
timestamp = {Fri, 09 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1908-02032.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-08430,
author = {Xavier Caruso},
title = {Residues of skew rational functions and linearized Goppa codes},
journal = {CoRR},
volume = {abs/1908.08430},
year = {2019},
url = {http://arxiv.org/abs/1908.08430},
eprinttype = {arXiv},
eprint = {1908.08430},
timestamp = {Mon, 26 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1908-08430.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-01227,
author = {Alexey A. Kytmanov and
Alexander P. Lyapin and
Timur M. Sadykov},
title = {Computing Rational Generating Function of a Solution to the Initial
Value Problem of Two-dimensional Difference Equation with Constant
Coefficients},
journal = {CoRR},
volume = {abs/1911.01227},
year = {2019},
url = {http://arxiv.org/abs/1911.01227},
eprinttype = {arXiv},
eprint = {1911.01227},
timestamp = {Mon, 25 Nov 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1911-01227.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-03696,
author = {Lloyd N. Trefethen},
title = {Numerical conformal mapping with rational functions},
journal = {CoRR},
volume = {abs/1911.03696},
year = {2019},
url = {http://arxiv.org/abs/1911.03696},
eprinttype = {arXiv},
eprint = {1911.03696},
timestamp = {Wed, 04 Dec 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1911-03696.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-08917,
author = {Arieh Iserles and
Marcus Webb},
title = {A family of orthogonal rational functions and other orthogonal systems
with a skew-Hermitian differentiation matrix},
journal = {CoRR},
volume = {abs/1911.08917},
year = {2019},
url = {http://arxiv.org/abs/1911.08917},
eprinttype = {arXiv},
eprint = {1911.08917},
timestamp = {Tue, 03 Dec 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1911-08917.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-11882,
author = {Daniel Rubin and
Alex Townsend},
title = {Bounding Zolotarev numbers using Faber rational functions},
journal = {CoRR},
volume = {abs/1911.11882},
year = {2019},
url = {http://arxiv.org/abs/1911.11882},
eprinttype = {arXiv},
eprint = {1911.11882},
timestamp = {Wed, 04 Dec 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1911-11882.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1912-09830,
author = {Lingfei Jin and
Liming Ma and
Chaoping Xing},
title = {A new construction of nonlinear codes via rational function fields},
journal = {CoRR},
volume = {abs/1912.09830},
year = {2019},
url = {http://arxiv.org/abs/1912.09830},
eprinttype = {arXiv},
eprint = {1912.09830},
timestamp = {Fri, 03 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1912-09830.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/AbrarovQ18,
author = {Sanjar M. Abrarov and
Brendan M. Quine},
title = {A rational approximation of the Dawson's integral for efficient computation
of the complex error function},
journal = {Appl. Math. Comput.},
volume = {321},
pages = {526--543},
year = {2018},
url = {https://doi.org/10.1016/j.amc.2017.10.032},
doi = {10.1016/J.AMC.2017.10.032},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/AbrarovQ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Graillat18,
author = {Stef Graillat},
title = {An accurate algorithm for evaluating rational functions},
journal = {Appl. Math. Comput.},
volume = {337},
pages = {494--503},
year = {2018},
url = {https://doi.org/10.1016/j.amc.2018.05.039},
doi = {10.1016/J.AMC.2018.05.039},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Graillat18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/SaadatmandiS18,
author = {Abbas Saadatmandi and
Zeinab Sanatkar},
title = {Collocation method based on rational Legendre functions for solving
the magneto-hydrodynamic flow over a nonlinear stretching sheet},
journal = {Appl. Math. Comput.},
volume = {323},
pages = {193--203},
year = {2018},
url = {https://doi.org/10.1016/j.amc.2017.11.060},
doi = {10.1016/J.AMC.2017.11.060},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/SaadatmandiS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/chinaf/BaoYSZZ18,
author = {Fangxun Bao and
Xunxiang Yao and
Qinghua Sun and
Yunfeng Zhang and
Caiming Zhang},
title = {Smooth fractal surfaces derived from bicubic rational fractal interpolation
functions},
journal = {Sci. China Inf. Sci.},
volume = {61},
number = {9},
pages = {099104:1--099104:3},
year = {2018},
url = {https://doi.org/10.1007/s11432-017-9258-5},
doi = {10.1007/S11432-017-9258-5},
timestamp = {Sat, 26 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/chinaf/BaoYSZZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cssp/SchumacherO18,
author = {Ricardo Schumacher and
Gustavo Henrique Costa Oliveira},
title = {A Unifying Method to Construct Rational Basis Functions for Linear
and Nonlinear Systems},
journal = {Circuits Syst. Signal Process.},
volume = {37},
number = {6},
pages = {2394--2412},
year = {2018},
url = {https://doi.org/10.1007/s00034-017-0683-6},
doi = {10.1007/S00034-017-0683-6},
timestamp = {Fri, 14 May 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cssp/SchumacherO18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmdem/DuZBWZ18,
author = {Hongwei Du and
Yunfeng Zhang and
Fangxun Bao and
Ping Wang and
Caiming Zhang},
title = {A Texture Preserving Image Interpolation Algorithm Based on Rational
Function},
journal = {Int. J. Multim. Data Eng. Manag.},
volume = {9},
number = {2},
pages = {36--56},
year = {2018},
url = {https://doi.org/10.4018/IJMDEM.2018040103},
doi = {10.4018/IJMDEM.2018040103},
timestamp = {Sat, 26 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijmdem/DuZBWZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmmsc/KimZ18,
author = {Kwang Hyun Kim and
Xin Zhang},
title = {h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational
Functions over {\(\mathbb{R}\)} or {\(\mathbb{C}\)}},
journal = {Int. J. Math. Math. Sci.},
volume = {2018},
year = {2018},
url = {https://doi.org/10.1155/2018/7495964},
doi = {10.1155/2018/7495964},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijmmsc/KimZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ChunaevD18,
author = {Petr Chunaev and
Vladimir Danchenko},
title = {Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities
for rational functions},
journal = {J. Approx. Theory},
volume = {228},
pages = {1--20},
year = {2018},
url = {https://doi.org/10.1016/j.jat.2017.12.004},
doi = {10.1016/J.JAT.2017.12.004},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/ChunaevD18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/IyiolaAW18,
author = {Olaniyi Samuel Iyiola and
E. O. Asante{-}Asamani and
Bruce A. Wade},
title = {A real distinct poles rational approximation of generalized Mittag-Leffler
functions and their inverses: Applications to fractional calculus},
journal = {J. Comput. Appl. Math.},
volume = {330},
pages = {307--317},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2017.08.020},
doi = {10.1016/J.CAM.2017.08.020},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/IyiolaAW18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcisd/McAnanama-Brereton18,
author = {Suzanne McAnanama{-}Brereton and
Mark P. Waller},
title = {Rational Density Functional Selection Using Game Theory},
journal = {J. Chem. Inf. Model.},
volume = {58},
number = {1},
pages = {61--67},
year = {2018},
url = {https://doi.org/10.1021/acs.jcim.7b00542},
doi = {10.1021/ACS.JCIM.7B00542},
timestamp = {Tue, 01 Jun 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcisd/McAnanama-Brereton18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BeckermannLM18,
author = {Bernhard Beckermann and
George Labahn and
Ana C. Matos},
title = {On rational functions without Froissart doublets},
journal = {Numerische Mathematik},
volume = {138},
number = {3},
pages = {615--633},
year = {2018},
url = {https://doi.org/10.1007/s00211-017-0917-3},
doi = {10.1007/S00211-017-0917-3},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/BeckermannLM18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pmh/Ugolini18a,
author = {Simone Ugolini},
title = {Functional graphs of rational maps induced by endomorphisms of ordinary
elliptic curves over finite fields},
journal = {Period. Math. Hung.},
volume = {77},
number = {2},
pages = {237--260},
year = {2018},
url = {https://doi.org/10.1007/s10998-018-0242-3},
doi = {10.1007/S10998-018-0242-3},
timestamp = {Thu, 04 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pmh/Ugolini18a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/remotesensing/MaSDWC18,
author = {Zhenling Ma and
Wei Song and
Junping Deng and
Jiali Wang and
Cancan Cui},
title = {A Rational Function Model Based Geo-Positioning Method for Satellite
Images without Using Ground Control Points},
journal = {Remote. Sens.},
volume = {10},
number = {2},
pages = {182},
year = {2018},
url = {https://doi.org/10.3390/rs10020182},
doi = {10.3390/RS10020182},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/remotesensing/MaSDWC18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/remotesensing/XuZZL18,
author = {Kai Xu and
Guo Zhang and
Qingjun Zhang and
Deren Li},
title = {Calculating Viewing Angles Pixel by Pixel in Optical Remote Sensing
Satellite Imagery Using the Rational Function Model},
journal = {Remote. Sens.},
volume = {10},
number = {3},
pages = {478},
year = {2018},
url = {https://doi.org/10.3390/rs10030478},
doi = {10.3390/RS10030478},
timestamp = {Fri, 28 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/remotesensing/XuZZL18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scl/AhmadiK18,
author = {Amir Ali Ahmadi and
Bachir El Khadir},
title = {A globally asymptotically stable polynomial vector field with rational
coefficients and no local polynomial Lyapunov function},
journal = {Syst. Control. Lett.},
volume = {121},
pages = {50--53},
year = {2018},
url = {https://doi.org/10.1016/j.sysconle.2018.07.013},
doi = {10.1016/J.SYSCONLE.2018.07.013},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/scl/AhmadiK18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamdm/BissonT18,
author = {Gaetan Bisson and
Mehdi Tibouchi},
title = {Constructing Permutation Rational Functions from Isogenies},
journal = {{SIAM} J. Discret. Math.},
volume = {32},
number = {3},
pages = {1741--1749},
year = {2018},
url = {https://doi.org/10.1137/17M1135736},
doi = {10.1137/17M1135736},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamdm/BissonT18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/AlamB18,
author = {Rafikul Alam and
Namita Behera},
title = {Generalized Fiedler Pencils for Rational Matrix Functions},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {39},
number = {2},
pages = {587--610},
year = {2018},
url = {https://doi.org/10.1137/16M1108200},
doi = {10.1137/16M1108200},
timestamp = {Tue, 26 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/AlamB18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/BlankenIKO18,
author = {Lennart Blanken and
Goksan Isil and
Sjirk H. Koekebakker and
Tom Oomen},
title = {Data-Driven Feedforward Learning using Non-Causal Rational Basis Functions:
Application to an Industrial Flatbed Printer},
booktitle = {2018 Annual American Control Conference, {ACC} 2018, Milwaukee, WI,
USA, June 27-29, 2018},
pages = {6672--6677},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.23919/ACC.2018.8430777},
doi = {10.23919/ACC.2018.8430777},
timestamp = {Sun, 08 Aug 2021 01:40:57 +0200},
biburl = {https://dblp.org/rec/conf/amcc/BlankenIKO18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aofa/BaryshnikovMPS18,
author = {Yuliy M. Baryshnikov and
Stephen Melczer and
Robin Pemantle and
Armin Straub},
editor = {James Allen Fill and
Mark Daniel Ward},
title = {Diagonal Asymptotics for Symmetric Rational Functions via {ACSV}},
booktitle = {29th International Conference on Probabilistic, Combinatorial and
Asymptotic Methods for the Analysis of Algorithms, AofA 2018, June
25-29, 2018, Uppsala, Sweden},
series = {LIPIcs},
volume = {110},
pages = {12:1--12:15},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2018},
url = {https://doi.org/10.4230/LIPIcs.AofA.2018.12},
doi = {10.4230/LIPICS.AOFA.2018.12},
timestamp = {Thu, 02 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/aofa/BaryshnikovMPS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/BrisebarreCEFIM18,
author = {Nicolas Brisebarre and
George A. Constantinides and
Milos Ercezovac and
Silviu{-}Ioan Filip and
Matei Istoan and
Jean{-}Michel Muller},
title = {A High Throughput Polynomial and Rational Function Approximations
Evaluator},
booktitle = {25th {IEEE} Symposium on Computer Arithmetic, {ARITH} 2018, Amherst,
MA, USA, June 25-27, 2018},
pages = {99--106},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.1109/ARITH.2018.8464778},
doi = {10.1109/ARITH.2018.8464778},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/arith/BrisebarreCEFIM18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/csndsp/BeitollahiH18,
author = {Mersedeh Beitollahi and
S. Abolfazl Hosseini},
title = {Hyperspectral Data Compression by Using Rational Function Curve Fitting
in Spectral Signature Subintervals},
booktitle = {11th International Symposium on Communication Systems, Networks {\&}
Digital Signal Processing, {CSNDSP} 2018, Budapest, Hungary, July
18-20, 2018},
pages = {1--6},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.1109/CSNDSP.2018.8471809},
doi = {10.1109/CSNDSP.2018.8471809},
timestamp = {Wed, 16 Oct 2019 14:14:57 +0200},
biburl = {https://dblp.org/rec/conf/csndsp/BeitollahiH18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fsttcs/FiliotGLM18,
author = {Emmanuel Filiot and
Olivier Gauwin and
Nathan Lhote and
Anca Muscholl},
editor = {Sumit Ganguly and
Paritosh K. Pandya},
title = {On Canonical Models for Rational Functions over Infinite Words},
booktitle = {38th {IARCS} Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, {FSTTCS} 2018, December 11-13, 2018,
Ahmedabad, India},
series = {LIPIcs},
volume = {122},
pages = {30:1--30:17},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2018},
url = {https://doi.org/10.4230/LIPIcs.FSTTCS.2018.30},
doi = {10.4230/LIPICS.FSTTCS.2018.30},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/fsttcs/FiliotGLM18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icassp/XiongCZ18,
author = {Dan Xiong and
Li Chai and
Jingxin Zhang},
title = {Uncertainty Principle for Rational Functions in Hardy Spaces},
booktitle = {2018 {IEEE} International Conference on Acoustics, Speech and Signal
Processing, {ICASSP} 2018, Calgary, AB, Canada, April 15-20, 2018},
pages = {4364--4368},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.1109/ICASSP.2018.8462265},
doi = {10.1109/ICASSP.2018.8462265},
timestamp = {Tue, 21 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icassp/XiongCZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/igarss/YaoWY18,
author = {Xinghui Yao and
Feng Wang and
Hongjian You},
title = {Multi-Observation Block Adjustment by Rational Function Model Without
Ground Control Points},
booktitle = {2018 {IEEE} International Geoscience and Remote Sensing Symposium,
{IGARSS} 2018, Valencia, Spain, July 22-27, 2018},
pages = {6424--6427},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.1109/IGARSS.2018.8518024},
doi = {10.1109/IGARSS.2018.8518024},
timestamp = {Wed, 16 Oct 2019 14:14:53 +0200},
biburl = {https://dblp.org/rec/conf/igarss/YaoWY18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/BarkatouJ18,
author = {Moulay A. Barkatou and
Maximilian Jaroschek},
editor = {Manuel Kauers and
Alexey Ovchinnikov and
{\'{E}}ric Schost},
title = {Desingularization of First Order Linear Difference Systems with Rational
Function Coefficients},
booktitle = {Proceedings of the 2018 {ACM} on International Symposium on Symbolic
and Algebraic Computation, {ISSAC} 2018, New York, NY, USA, July 16-19,
2018},
pages = {39--46},
publisher = {{ACM}},
year = {2018},
url = {https://doi.org/10.1145/3208976.3208989},
doi = {10.1145/3208976.3208989},
timestamp = {Wed, 21 Nov 2018 12:44:10 +0100},
biburl = {https://dblp.org/rec/conf/issac/BarkatouJ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/Strzebonski18,
author = {Adam W. Strzebonski},
editor = {Manuel Kauers and
Alexey Ovchinnikov and
{\'{E}}ric Schost},
title = {Comparison of CAD-based Methods for Computation of Rational Function
Limits},
booktitle = {Proceedings of the 2018 {ACM} on International Symposium on Symbolic
and Algebraic Computation, {ISSAC} 2018, New York, NY, USA, July 16-19,
2018},
pages = {375--382},
publisher = {{ACM}},
year = {2018},
url = {https://doi.org/10.1145/3208976.3208982},
doi = {10.1145/3208976.3208982},
timestamp = {Fri, 27 Dec 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/Strzebonski18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pacis/LagstedtD18a,
author = {Altti Lagstedt and
Tomi Dahlberg},
editor = {Masaaki Hirano and
Michael D. Myers and
Kyoichi Kijima and
Motonari Tanabu and
Dai Senoo},
title = {Understanding the Rarity of {ISD} Method Selection - Bounded Rationality
and Functional Stupidity},
booktitle = {22nd Pacific Asia Conference on Information Systems, {PACIS} 2018,
Yokohama, Japan, June 26-30, 2018},
pages = {154},
year = {2018},
url = {https://aisel.aisnet.org/pacis2018/154},
timestamp = {Wed, 07 Nov 2018 09:42:06 +0100},
biburl = {https://dblp.org/rec/conf/pacis/LagstedtD18a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/scisisis/OnoHNS18,
author = {Masato Ono and
Tomohiro Hayashida and
Ichiro Nishizaki and
Shinya Sekizaki},
title = {Development of Rational Decision Making Procedure Based on Additive
Multi-Attribute Utility Function Using Strict Preference Information},
booktitle = {2018 Joint 10th International Conference on Soft Computing and Intelligent
Systems {(SCIS)} and 19th International Symposium on Advanced Intelligent
Systems (ISIS), Toyama, Japan, December 5-8, 2018},
pages = {1400--1405},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.1109/SCIS-ISIS.2018.00218},
doi = {10.1109/SCIS-ISIS.2018.00218},
timestamp = {Sat, 19 Oct 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/scisisis/OnoHNS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ssp/Kovacs18,
author = {Peter Kovacs},
title = {Sparsity Problem Involving Rational Basis Functions},
booktitle = {2018 {IEEE} Statistical Signal Processing Workshop, {SSP} 2018, Freiburg
im Breisgau, Germany, June 10-13, 2018},
pages = {618--622},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.1109/SSP.2018.8450725},
doi = {10.1109/SSP.2018.8450725},
timestamp = {Wed, 16 Oct 2019 14:14:54 +0200},
biburl = {https://dblp.org/rec/conf/ssp/Kovacs18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1801-10063,
author = {Stefan Gerdjikov},
title = {Characterisation of (Sub)sequential Rational Functions over a General
Class Monoids},
journal = {CoRR},
volume = {abs/1801.10063},
year = {2018},
url = {http://arxiv.org/abs/1801.10063},
eprinttype = {arXiv},
eprint = {1801.10063},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1801-10063.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1802-01150,
author = {Moulay A. Barkatou and
Maximilian Jaroschek},
title = {Desingularization of First Order Linear Difference Systems with Rational
Function Coefficients},
journal = {CoRR},
volume = {abs/1802.01150},
year = {2018},
url = {http://arxiv.org/abs/1802.01150},
eprinttype = {arXiv},
eprint = {1802.01150},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1802-01150.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1802-10555,
author = {Micha{\"{e}}l Cadilhac and
Olivier Carton and
Charles Paperman},
title = {Continuity and Rational Functions},
journal = {CoRR},
volume = {abs/1802.10555},
year = {2018},
url = {http://arxiv.org/abs/1802.10555},
eprinttype = {arXiv},
eprint = {1802.10555},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1802-10555.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1803-06087,
author = {Amir Ali Ahmadi and
Bachir El Khadir},
title = {A Globally Asymptotically Stable Polynomial Vector Field with Rational
Coefficients and no Local Polynomial Lyapunov Function},
journal = {CoRR},
volume = {abs/1803.06087},
year = {2018},
url = {http://arxiv.org/abs/1803.06087},
eprinttype = {arXiv},
eprint = {1803.06087},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1803-06087.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1804-10929,
author = {Yuliy M. Baryshnikov and
Stephen Melczer and
Robin Pemantle and
Armin Straub},
title = {Diagonal asymptotics for symmetric rational functions via {ACSV}},
journal = {CoRR},
volume = {abs/1804.10929},
year = {2018},
url = {http://arxiv.org/abs/1804.10929},
eprinttype = {arXiv},
eprint = {1804.10929},
timestamp = {Thu, 02 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1804-10929.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1805-03097,
author = {Andrea Ferraguti and
Giacomo Micheli},
title = {Complete Classification of permutation rational functions of degree
three over finite fields},
journal = {CoRR},
volume = {abs/1805.03097},
year = {2018},
url = {http://arxiv.org/abs/1805.03097},
eprinttype = {arXiv},
eprint = {1805.03097},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1805-03097.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1809-03220,
author = {Olivier Finkel},
title = {An Effective Property of {\(\omega\)}-Rational Functions},
journal = {CoRR},
volume = {abs/1809.03220},
year = {2018},
url = {http://arxiv.org/abs/1809.03220},
eprinttype = {arXiv},
eprint = {1809.03220},
timestamp = {Fri, 05 Oct 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1809-03220.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1812-09640,
author = {William Hoiles and
Vikram Krishnamurthy},
title = {Estimating Rationally Inattentive Utility Functions with Deep Clustering
for Framing - Applications in YouTube Engagement Dynamics},
journal = {CoRR},
volume = {abs/1812.09640},
year = {2018},
url = {http://arxiv.org/abs/1812.09640},
eprinttype = {arXiv},
eprint = {1812.09640},
timestamp = {Wed, 02 Jan 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1812-09640.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/ValmorbidaA17,
author = {Giorgio Valmorbida and
James Anderson},
title = {Region of attraction estimation using invariant sets and rational
Lyapunov functions},
journal = {Autom.},
volume = {75},
pages = {37--45},
year = {2017},
url = {https://doi.org/10.1016/j.automatica.2016.09.003},
doi = {10.1016/J.AUTOMATICA.2016.09.003},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/automatica/ValmorbidaA17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/bmcbi/KusnezowaL17,
author = {Anna Kusnezowa and
Lars I. Leichert},
title = {In silico approach to designing rational metagenomic libraries for
functional studies},
journal = {{BMC} Bioinform.},
volume = {18},
number = {1},
pages = {267:1--267:11},
year = {2017},
url = {https://doi.org/10.1186/s12859-017-1668-y},
doi = {10.1186/S12859-017-1668-Y},
timestamp = {Sun, 15 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/bmcbi/KusnezowaL17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/YuTZ17,
author = {Peixiang Yu and
Zhen F. Tian and
Hongjie Zhang},
title = {A rational high-order compact difference method for the steady-state
stream function-vorticity formulation of the Navier-Stokes equations},
journal = {Comput. Math. Appl.},
volume = {73},
number = {7},
pages = {1461--1484},
year = {2017},
url = {https://doi.org/10.1016/j.camwa.2017.01.024},
doi = {10.1016/J.CAMWA.2017.01.024},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/YuTZ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dcc/JinK17,
author = {Lingfei Jin and
Haibin Kan},
title = {Construction of binary linear codes via rational function fields},
journal = {Des. Codes Cryptogr.},
volume = {83},
number = {3},
pages = {633--638},
year = {2017},
url = {https://doi.org/10.1007/s10623-016-0252-1},
doi = {10.1007/S10623-016-0252-1},
timestamp = {Mon, 17 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/dcc/JinK17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dsp/GuoYYW17,
author = {Fang{-}xia Guo and
Shuang Ye and
Tengfei Yang and
Xuan Wang},
title = {Robust circularly orthogonal moment based on Chebyshev rational function},
journal = {Digit. Signal Process.},
volume = {62},
pages = {249--258},
year = {2017},
url = {https://doi.org/10.1016/j.dsp.2016.12.008},
doi = {10.1016/J.DSP.2016.12.008},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dsp/GuoYYW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dsp/HosnyD17,
author = {Khalid M. Hosny and
Mohamed M. Darwish},
title = {Comments on "Robust circularly orthogonal moment based on Chebyshev
rational function" [Digit. Signal Process. 62 {(2017)} 249-258]},
journal = {Digit. Signal Process.},
volume = {68},
pages = {152--153},
year = {2017},
url = {https://doi.org/10.1016/j.dsp.2017.06.002},
doi = {10.1016/J.DSP.2017.06.002},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dsp/HosnyD17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Balasubramani17,
author = {N. Balasubramani},
title = {Shape preserving rational cubic fractal interpolation function},
journal = {J. Comput. Appl. Math.},
volume = {319},
pages = {277--295},
year = {2017},
url = {https://doi.org/10.1016/j.cam.2017.01.014},
doi = {10.1016/J.CAM.2017.01.014},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Balasubramani17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Ceballos17,
author = {Marcelo A. Ceballos},
title = {Numerical evaluation of integrals involving the product of two Bessel
functions and a rational fraction arising in some elastodynamic problems},
journal = {J. Comput. Appl. Math.},
volume = {313},
pages = {355--382},
year = {2017},
url = {https://doi.org/10.1016/j.cam.2016.09.043},
doi = {10.1016/J.CAM.2016.09.043},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Ceballos17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ParandD17,
author = {Kourosh Parand and
Mehdi Delkhosh},
title = {Accurate solution of the Thomas-Fermi equation using the fractional
order of rational Chebyshev functions},
journal = {J. Comput. Appl. Math.},
volume = {317},
pages = {624--642},
year = {2017},
url = {https://doi.org/10.1016/j.cam.2016.11.035},
doi = {10.1016/J.CAM.2016.11.035},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ParandD17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/WrightF17,
author = {Grady B. Wright and
Bengt Fornberg},
title = {Stable computations with flat radial basis functions using vector-valued
rational approximations},
journal = {J. Comput. Phys.},
volume = {331},
pages = {137--156},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2016.11.030},
doi = {10.1016/J.JCP.2016.11.030},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/WrightF17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/GarsiaLWX17,
author = {Adriano M. Garsia and
Emily Sergel Leven and
Nolan Wallach and
Guoce Xin},
title = {A new plethystic symmetric function operator and the rational compositional
shuffle conjecture at t = 1/q},
journal = {J. Comb. Theory, Ser. {A}},
volume = {145},
pages = {57--100},
year = {2017},
url = {https://doi.org/10.1016/j.jcta.2016.07.001},
doi = {10.1016/J.JCTA.2016.07.001},
timestamp = {Sun, 22 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jct/GarsiaLWX17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jlms/KlepPV17,
author = {Igor Klep and
James Eldred Pascoe and
Jurij Volcic},
title = {Regular and positive noncommutative rational functions},
journal = {J. Lond. Math. Soc.},
volume = {95},
number = {2},
pages = {613--632},
year = {2017},
url = {https://doi.org/10.1112/jlms.12030},
doi = {10.1112/JLMS.12030},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jlms/KlepPV17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/Konig17,
author = {Joachim K{\"{o}}nig},
title = {On rational functions with monodromy group M\({}_{\mbox{11}}\)},
journal = {J. Symb. Comput.},
volume = {79},
pages = {372--383},
year = {2017},
url = {https://doi.org/10.1016/j.jsc.2016.02.014},
doi = {10.1016/J.JSC.2016.02.014},
timestamp = {Fri, 30 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/Konig17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mma/KimBM17,
author = {Young Ik Kim and
Ramandeep Behl and
Sandile Sydney Motsa},
title = {An Optimal family of Eighth-order iterative Methods with an inverse
interpolatory rational function error corrector for nonlinear equations},
journal = {Math. Model. Anal.},
volume = {22},
number = {3},
pages = {321--336},
year = {2017},
url = {https://doi.org/10.3846/13926292.2017.1309585},
doi = {10.3846/13926292.2017.1309585},
timestamp = {Sun, 25 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mma/KimBM17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nc/IglesiasG17,
author = {Andr{\'{e}}s Iglesias and
Akemi G{\'{a}}lvez},
title = {Memetic electromagnetism algorithm for surface reconstruction with
rational bivariate Bernstein basis functions},
journal = {Nat. Comput.},
volume = {16},
number = {4},
pages = {511--525},
year = {2017},
url = {https://doi.org/10.1007/s11047-016-9562-5},
doi = {10.1007/S11047-016-9562-5},
timestamp = {Thu, 02 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nc/IglesiasG17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pcs/KytmanovLS17,
author = {Alexey A. Kytmanov and
Alexander P. Lyapin and
Timur M. Sadykov},
title = {Evaluating the rational generating function for the solution of the
Cauchy problem for a two-dimensional difference equation with constant
coefficients},
journal = {Program. Comput. Softw.},
volume = {43},
number = {2},
pages = {105--111},
year = {2017},
url = {https://doi.org/10.1134/S0361768817020074},
doi = {10.1134/S0361768817020074},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/pcs/KytmanovLS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/remotesensing/JannatiZM17,
author = {Mojtaba Jannati and
Mohammad Javad Valadan Zoej and
Mehdi Mokhtarzade},
title = {A Knowledge-Based Search Strategy for Optimally Structuring the Terrain
Dependent Rational Function Models},
journal = {Remote. Sens.},
volume = {9},
number = {4},
pages = {345},
year = {2017},
url = {https://doi.org/10.3390/rs9040345},
doi = {10.3390/RS9040345},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/remotesensing/JannatiZM17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sensors/WangMYOTOT17,
author = {Jin Wang and
Masaki Muto and
Rui Yatabe and
Takeshi Onodera and
Masayoshi Tanaka and
Mina Okochi and
Kiyoshi Toko},
title = {Rational Design of Peptide-Functionalized Surface Plasmon Resonance
Sensor for Specific Detection of {TNT} Explosive},
journal = {Sensors},
volume = {17},
number = {10},
pages = {2249},
year = {2017},
url = {https://doi.org/10.3390/s17102249},
doi = {10.3390/S17102249},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/sensors/WangMYOTOT17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/XiS17,
author = {Yuanzhe Xi and
Yousef Saad},
title = {A Rational Function Preconditioner For Indefinite Sparse Linear Systems},
journal = {{SIAM} J. Sci. Comput.},
volume = {39},
number = {3},
year = {2017},
url = {https://doi.org/10.1137/16M1078409},
doi = {10.1137/16M1078409},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/XiS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/ChesiC17,
author = {Graziano Chesi and
Patrizio Colaneri},
title = {Homogeneous Rational Lyapunov Functions for Performance Analysis of
Switched Systems With Arbitrary Switching and Dwell Time Constraints},
journal = {{IEEE} Trans. Autom. Control.},
volume = {62},
number = {10},
pages = {5124--5137},
year = {2017},
url = {https://doi.org/10.1109/TAC.2017.2681802},
doi = {10.1109/TAC.2017.2681802},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/ChesiC17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/FerranteP17,
author = {Augusto Ferrante and
Giorgio Picci},
title = {Representation and Factorization of Discrete-Time Rational All-Pass
Functions},
journal = {{IEEE} Trans. Autom. Control.},
volume = {62},
number = {7},
pages = {3262--3276},
year = {2017},
url = {https://doi.org/10.1109/TAC.2016.2628163},
doi = {10.1109/TAC.2016.2628163},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/FerranteP17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/DeckersMB17,
author = {Karl Deckers and
Ahlem Mougaida and
Hedi BelHadjSalah},
title = {Algorithm 973: Extended Rational Fej{\'{e}}r Quadrature Rules
Based on Chebyshev Orthogonal Rational Functions},
journal = {{ACM} Trans. Math. Softw.},
volume = {43},
number = {4},
pages = {37:1--37:29},
year = {2017},
url = {https://doi.org/10.1145/3054077},
doi = {10.1145/3054077},
timestamp = {Tue, 16 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/toms/DeckersMB17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/LethWS17,
author = {Tobias Leth and
Rafal Wisniewski and
Christoffer Sloth},
title = {On the existence of polynomial Lyapunov functions for rationally stable
vector fields},
booktitle = {56th {IEEE} Annual Conference on Decision and Control, {CDC} 2017,
Melbourne, Australia, December 12-15, 2017},
pages = {4884--4889},
publisher = {{IEEE}},
year = {2017},
url = {https://doi.org/10.1109/CDC.2017.8264381},
doi = {10.1109/CDC.2017.8264381},
timestamp = {Fri, 04 Mar 2022 13:29:55 +0100},
biburl = {https://dblp.org/rec/conf/cdc/LethWS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eurocast/BognarF17,
author = {Gergo Bognar and
S{\'{a}}ndor Fridli},
editor = {Roberto Moreno{-}D{\'{\i}}az and
Franz Pichler and
Alexis Quesada{-}Arencibia},
title = {Heartbeat Classification of {ECG} Signals Using Rational Function
Systems},
booktitle = {Computer Aided Systems Theory - {EUROCAST} 2017 - 16th International
Conference, Las Palmas de Gran Canaria, Spain, February 19-24, 2017,
Revised Selected Papers, Part {II}},
series = {Lecture Notes in Computer Science},
volume = {10672},
pages = {187--195},
publisher = {Springer},
year = {2017},
url = {https://doi.org/10.1007/978-3-319-74727-9\_22},
doi = {10.1007/978-3-319-74727-9\_22},
timestamp = {Tue, 14 May 2019 10:00:54 +0200},
biburl = {https://dblp.org/rec/conf/eurocast/BognarF17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icalp/CadilhacCP17,
author = {Micha{\"{e}}l Cadilhac and
Olivier Carton and
Charles Paperman},
editor = {Ioannis Chatzigiannakis and
Piotr Indyk and
Fabian Kuhn and
Anca Muscholl},
title = {Continuity and Rational Functions},
booktitle = {44th International Colloquium on Automata, Languages, and Programming,
{ICALP} 2017, July 10-14, 2017, Warsaw, Poland},
series = {LIPIcs},
volume = {80},
pages = {115:1--115:14},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2017},
url = {https://doi.org/10.4230/LIPIcs.ICALP.2017.115},
doi = {10.4230/LIPICS.ICALP.2017.115},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icalp/CadilhacCP17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icmc2/KatiyarRC17,
author = {Saurabh Kumar Katiyar and
K. M. Reddy and
A. K. B. Chand},
editor = {Debasis Giri and
Ram N. Mohapatra and
Heinrich Begehr and
Mohammad S. Obaidat},
title = {Constrained Data Visualization Using Rational Bi-cubic Fractal Functions},
booktitle = {Mathematics and Computing - Third International Conference, {ICMC}
2017, Haldia, India, January 17-21, 2017, Proceedings},
series = {Communications in Computer and Information Science},
volume = {655},
pages = {265--277},
year = {2017},
url = {https://doi.org/10.1007/978-981-10-4642-1\_23},
doi = {10.1007/978-981-10-4642-1\_23},
timestamp = {Wed, 18 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icmc2/KatiyarRC17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/Telgarsky17,
author = {Matus Telgarsky},
editor = {Doina Precup and
Yee Whye Teh},
title = {Neural Networks and Rational Functions},
booktitle = {Proceedings of the 34th International Conference on Machine Learning,
{ICML} 2017, Sydney, NSW, Australia, 6-11 August 2017},
series = {Proceedings of Machine Learning Research},
volume = {70},
pages = {3387--3393},
publisher = {{PMLR}},
year = {2017},
url = {http://proceedings.mlr.press/v70/telgarsky17a.html},
timestamp = {Wed, 29 May 2019 08:41:45 +0200},
biburl = {https://dblp.org/rec/conf/icml/Telgarsky17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/KaltofenPSW17,
author = {Erich L. Kaltofen and
Cl{\'{e}}ment Pernet and
Arne Storjohann and
Cleveland Waddell},
editor = {Michael A. Burr and
Chee K. Yap and
Mohab Safey El Din},
title = {Early Termination in Parametric Linear System Solving and Rational
Function Vector Recovery with Error Correction},
booktitle = {Proceedings of the 2017 {ACM} on International Symposium on Symbolic
and Algebraic Computation, {ISSAC} 2017, Kaiserslautern, Germany,
July 25-28, 2017},
pages = {237--244},
publisher = {{ACM}},
year = {2017},
url = {https://doi.org/10.1145/3087604.3087645},
doi = {10.1145/3087604.3087645},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/issac/KaltofenPSW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/macis/HuangG17,
author = {Qiao{-}Long Huang and
Xiao{-}Shan Gao},
editor = {Johannes Bl{\"{o}}mer and
Ilias S. Kotsireas and
Temur Kutsia and
Dimitris E. Simos},
title = {Sparse Rational Function Interpolation with Finitely Many Values for
the Coefficients},
booktitle = {Mathematical Aspects of Computer and Information Sciences - 7th International
Conference, {MACIS} 2017, Vienna, Austria, November 15-17, 2017, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {10693},
pages = {227--242},
publisher = {Springer},
year = {2017},
url = {https://doi.org/10.1007/978-3-319-72453-9\_16},
doi = {10.1007/978-3-319-72453-9\_16},
timestamp = {Tue, 14 May 2019 10:00:52 +0200},
biburl = {https://dblp.org/rec/conf/macis/HuangG17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nutmic/MurruS17,
author = {Nadir Murru and
Francesco M. Saettone},
editor = {Jerzy Kaczorowski and
Josef Pieprzyk and
Jacek Pomykala},
title = {A Novel RSA-Like Cryptosystem Based on a Generalization of the R{\'{e}}dei
Rational Functions},
booktitle = {Number-Theoretic Methods in Cryptology - First International Conference,
NuTMiC 2017, Warsaw, Poland, September 11-13, 2017, Revised Selected
Papers},
series = {Lecture Notes in Computer Science},
volume = {10737},
pages = {91--103},
publisher = {Springer},
year = {2017},
url = {https://doi.org/10.1007/978-3-319-76620-1\_6},
doi = {10.1007/978-3-319-76620-1\_6},
timestamp = {Sun, 02 Jun 2019 21:19:28 +0200},
biburl = {https://dblp.org/rec/conf/nutmic/MurruS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/rws/IslamXHB17,
author = {Anik Islam and
Peter Jingjing Xia and
Hai Huang and
Slim Boumaiza},
title = {Constrained identification of rational functions for robust digital
predistortion},
booktitle = {2017 {IEEE} Radio and Wireless Symposium, {RWS} 2017, Phoenix, AZ,
USA, January 15-18, 2017},
pages = {166--168},
publisher = {{IEEE}},
year = {2017},
url = {https://doi.org/10.1109/RWS.2017.7885977},
doi = {10.1109/RWS.2017.7885977},
timestamp = {Mon, 17 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/rws/IslamXHB17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/AvellarCDM17,
author = {J. Avellar and
M. S. Cardoso and
L. G. S. Duarte and
L. A. C. P. da Mota},
title = {Dealing with Rational Second Order Ordinary Differential Equations
where both Darboux and Lie Find It Difficult: The {\textdollar}S{\textdollar}-function
Method},
journal = {CoRR},
volume = {abs/1707.09007},
year = {2017},
url = {http://arxiv.org/abs/1707.09007},
eprinttype = {arXiv},
eprint = {1707.09007},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/AvellarCDM17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BissonT17,
author = {Gaetan Bisson and
Mehdi Tibouchi},
title = {Constructing Permutation Rational Functions From Isogenies},
journal = {CoRR},
volume = {abs/1707.06134},
year = {2017},
url = {http://arxiv.org/abs/1707.06134},
eprinttype = {arXiv},
eprint = {1707.06134},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BissonT17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Huang17,
author = {Hui Huang},
title = {Ultimate Positivity of Diagonals of Quasi-rational Functions},
journal = {CoRR},
volume = {abs/1703.05580},
year = {2017},
url = {http://arxiv.org/abs/1703.05580},
eprinttype = {arXiv},
eprint = {1703.05580},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Huang17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/HuangG17a,
author = {Qiao{-}Long Huang and
Xiao{-}Shan Gao},
title = {Sparse Rational Function Interpolation with Finitely Many Values for
the Coefficients},
journal = {CoRR},
volume = {abs/1706.00914},
year = {2017},
url = {http://arxiv.org/abs/1706.00914},
eprinttype = {arXiv},
eprint = {1706.00914},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/HuangG17a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Telgarsky17,
author = {Matus Telgarsky},
title = {Neural networks and rational functions},
journal = {CoRR},
volume = {abs/1706.03301},
year = {2017},
url = {http://arxiv.org/abs/1706.03301},
eprinttype = {arXiv},
eprint = {1706.03301},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Telgarsky17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1709-00696,
author = {Emanuele Bellini and
Nadir Murru},
title = {A multifactor RSA-like scheme with fast decryption based on R{\'{e}}dei
rational functions over the Pell hyperbola},
journal = {CoRR},
volume = {abs/1709.00696},
year = {2017},
url = {http://arxiv.org/abs/1709.00696},
eprinttype = {arXiv},
eprint = {1709.00696},
timestamp = {Thu, 13 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1709-00696.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1710-05060,
author = {Eliezer Yudkowsky and
Nate Soares},
title = {Functional Decision Theory: {A} New Theory of Instrumental Rationality},
journal = {CoRR},
volume = {abs/1710.05060},
year = {2017},
url = {http://arxiv.org/abs/1710.05060},
eprinttype = {arXiv},
eprint = {1710.05060},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1710-05060.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1710-07771,
author = {Konrad Kollnig},
title = {Constrained Optimisation of Rational Functions for Accelerating Subspace
Iteration},
journal = {CoRR},
volume = {abs/1710.07771},
year = {2017},
url = {http://arxiv.org/abs/1710.07771},
eprinttype = {arXiv},
eprint = {1710.07771},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1710-07771.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1710-09638,
author = {Lingfei Jin and
Liming Ma and
Chaoping Xing},
title = {Construction of optimal locally repairable codes via automorphism
groups of rational function fields},
journal = {CoRR},
volume = {abs/1710.09638},
year = {2017},
url = {http://arxiv.org/abs/1710.09638},
eprinttype = {arXiv},
eprint = {1710.09638},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1710-09638.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1712-01752,
author = {Robert M. Corless and
Robert H. C. Moir and
Marc Moreno Maza and
Ning Xie},
title = {Symbolic-Numeric Integration of Rational Functions},
journal = {CoRR},
volume = {abs/1712.01752},
year = {2017},
url = {http://arxiv.org/abs/1712.01752},
eprinttype = {arXiv},
eprint = {1712.01752},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1712-01752.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/IrshadKHS16,
author = {Misbah Irshad and
Sobia Khalid and
Malik Zawwar Hussain and
Muhammad Sarfraz},
title = {Outline capturing using rational functions with the help of genetic
algorithm},
journal = {Appl. Math. Comput.},
volume = {274},
pages = {661--678},
year = {2016},
url = {https://doi.org/10.1016/j.amc.2015.10.014},
doi = {10.1016/J.AMC.2015.10.014},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/IrshadKHS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Zadehgol16,
author = {Ata Zadehgol},
title = {A frequency-independent and parallel algorithm for computing the zeros
of strictly proper rational transfer functions},
journal = {Appl. Math. Comput.},
volume = {274},
pages = {229--236},
year = {2016},
url = {https://doi.org/10.1016/j.amc.2015.11.022},
doi = {10.1016/J.AMC.2015.11.022},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Zadehgol16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/AlvandiKM16,
author = {Parisa Alvandi and
Mahsa Kazemi and
Marc Moreno Maza},
title = {Computing limits with the regularchains and powerseries libraries:
from rational functions to Zariski closure},
journal = {{ACM} Commun. Comput. Algebra},
volume = {50},
number = {3},
pages = {93--96},
year = {2016},
url = {https://doi.org/10.1145/3015306.3015311},
doi = {10.1145/3015306.3015311},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/AlvandiKM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/BelliniM16,
author = {Emanuele Bellini and
Nadir Murru},
title = {An efficient and secure RSA-like cryptosystem exploiting R{\'{e}}dei
rational functions over conics},
journal = {Finite Fields Their Appl.},
volume = {39},
pages = {179--194},
year = {2016},
url = {https://doi.org/10.1016/j.ffa.2016.01.011},
doi = {10.1016/J.FFA.2016.01.011},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/BelliniM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/RodriguezT16,
author = {Jos{\'{e}} Alejandro Lara Rodr{\'{\i}}guez and
Dinesh S. Thakur},
title = {Multizeta shuffle relations for function fields with non rational
infinite place},
journal = {Finite Fields Their Appl.},
volume = {37},
pages = {344--356},
year = {2016},
url = {https://doi.org/10.1016/j.ffa.2015.10.006},
doi = {10.1016/J.FFA.2015.10.006},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/RodriguezT16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijprai/HosseiniG16,
author = {S. Abolfazl Hosseini and
Hassan Ghassemian},
title = {Hyperspectral Data Feature Extraction Using Rational Function Curve
Fitting},
journal = {Int. J. Pattern Recognit. Artif. Intell.},
volume = {30},
number = {1},
pages = {1650001:1--1650001:18},
year = {2016},
url = {https://doi.org/10.1142/S0218001416500014},
doi = {10.1142/S0218001416500014},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijprai/HosseiniG16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijprai/HosseiniG16a,
author = {S. Abolfazl Hosseini and
Hassan Ghassemian},
title = {Erratum: Hyperspectral Data Feature Extraction Using Rational Function
Curve Fitting},
journal = {Int. J. Pattern Recognit. Artif. Intell.},
volume = {30},
number = {2},
pages = {1692001:1--1692001:1},
year = {2016},
url = {https://doi.org/10.1142/S0218001416920014},
doi = {10.1142/S0218001416920014},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijprai/HosseiniG16a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/int/CegielskiGG16,
author = {Patrick C{\'{e}}gielski and
Serge Grigorieff and
Ir{\`{e}}ne Guessarian},
title = {Characterizing Congruence Preserving Functions Z/nZ {\(\rightarrow\)}
Z/mZ Via Rational Polynomials},
journal = {Integers},
volume = {16},
pages = {A50},
year = {2016},
url = {http://math.colgate.edu/\&\#126;integers/q50/q50.Abstract.html},
timestamp = {Thu, 19 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/int/CegielskiGG16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ita/MrazOP16,
author = {Frantisek Mr{\'{a}}z and
Friedrich Otto and
Daniel Prr{u}v{s}a},
title = {Some classes of rational functions for pictures},
journal = {{RAIRO} Theor. Informatics Appl.},
volume = {50},
number = {4},
pages = {351--369},
year = {2016},
url = {https://doi.org/10.1051/ita/2016025},
doi = {10.1051/ITA/2016025},
timestamp = {Sun, 25 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ita/MrazOP16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/BuslaevS16,
author = {Viktor I. Buslaev and
Sergey P. Suetin},
title = {On the existence of compacta of minimal capacity in the theory of
rational approximation of multi-valued analytic functions},
journal = {J. Approx. Theory},
volume = {206},
pages = {48--67},
year = {2016},
url = {https://doi.org/10.1016/j.jat.2015.08.002},
doi = {10.1016/J.JAT.2015.08.002},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/BuslaevS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/GorskyM16,
author = {Eugene Gorsky and
Mikhail Mazin},
title = {Rational parking functions and {LLT} polynomials},
journal = {J. Comb. Theory, Ser. {A}},
volume = {140},
pages = {123--140},
year = {2016},
url = {https://doi.org/10.1016/j.jcta.2016.01.004},
doi = {10.1016/J.JCTA.2016.01.004},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jct/GorskyM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/WangFH16,
author = {Rong Wang and
Hui Feng and
Cong Huang},
title = {A New Mapped Weighted Essentially Non-oscillatory Method Using Rational
Mapping Function},
journal = {J. Sci. Comput.},
volume = {67},
number = {2},
pages = {540--580},
year = {2016},
url = {https://doi.org/10.1007/s10915-015-0095-3},
doi = {10.1007/S10915-015-0095-3},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/WangFH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mpc/BugarinHL16,
author = {Florian Bugarin and
Didier Henrion and
Jean{-}Bernard Lasserre},
title = {Minimizing the sum of many rational functions},
journal = {Math. Program. Comput.},
volume = {8},
number = {1},
pages = {83--111},
year = {2016},
url = {https://doi.org/10.1007/s12532-015-0089-z},
doi = {10.1007/S12532-015-0089-Z},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mpc/BugarinHL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nmnc/DesaiD16,
author = {Santosh S. Desai and
A. S. Desai},
title = {Quasi-Transitive Rationality of Fuzzy Choice Functions Through Indicators},
journal = {New Math. Nat. Comput.},
volume = {12},
number = {3},
pages = {191--208},
year = {2016},
url = {https://doi.org/10.1142/S1793005716500137},
doi = {10.1142/S1793005716500137},
timestamp = {Tue, 07 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nmnc/DesaiD16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nmnc/DesaiP16,
author = {Santosh S. Desai and
Rupali Potdar},
title = {Full Rationality of Fuzzy Choice Functions on Base Domain Through
Indicators},
journal = {New Math. Nat. Comput.},
volume = {12},
number = {3},
pages = {175--189},
year = {2016},
url = {https://doi.org/10.1142/S1793005716500125},
doi = {10.1142/S1793005716500125},
timestamp = {Tue, 07 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nmnc/DesaiP16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scw/QinR16,
author = {Dan Qin and
Matthew Ryan},
title = {Rationalizability of Plott consistent choice functions: a corrigendum},
journal = {Soc. Choice Welf.},
volume = {47},
number = {3},
pages = {761--762},
year = {2016},
url = {https://doi.org/10.1007/s00355-016-0964-1},
doi = {10.1007/S00355-016-0964-1},
timestamp = {Wed, 22 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/scw/QinR16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/AlamB16,
author = {Rafikul Alam and
Namita Behera},
title = {Linearizations for Rational Matrix Functions and Rosenbrock System
Polynomials},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {37},
number = {1},
pages = {354--380},
year = {2016},
url = {https://doi.org/10.1137/15M1008622},
doi = {10.1137/15M1008622},
timestamp = {Tue, 26 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/AlamB16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/staeors/HuangZTL16,
author = {Wen{-}chao Huang and
Guo Zhang and
Xinming Tang and
Deren Li},
title = {Compensation for Distortion of Basic Satellite Images Based on Rational
Function Model},
journal = {{IEEE} J. Sel. Top. Appl. Earth Obs. Remote. Sens.},
volume = {9},
number = {12},
pages = {5767--5775},
year = {2016},
url = {https://doi.org/10.1109/JSTARS.2016.2544345},
doi = {10.1109/JSTARS.2016.2544345},
timestamp = {Fri, 28 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/staeors/HuangZTL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcas/Filanovsky16,
author = {Igor M. Filanovsky},
title = {Property of Rational Functions Related to Band-Pass Transformation
With Application to Symmetric Filters Design},
journal = {{IEEE} Trans. Circuits Syst. {I} Regul. Pap.},
volume = {63-I},
number = {12},
pages = {2112--2119},
year = {2016},
url = {https://doi.org/10.1109/TCSI.2016.2612182},
doi = {10.1109/TCSI.2016.2612182},
timestamp = {Fri, 22 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcas/Filanovsky16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tgrs/HuangZL16,
author = {Wen{-}chao Huang and
Guo Zhang and
Deren Li},
title = {Robust Approach for Recovery of Rigorous Sensor Model Using Rational
Function Model},
journal = {{IEEE} Trans. Geosci. Remote. Sens.},
volume = {54},
number = {7},
pages = {4355--4361},
year = {2016},
url = {https://doi.org/10.1109/TGRS.2016.2541144},
doi = {10.1109/TGRS.2016.2541144},
timestamp = {Fri, 28 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tgrs/HuangZL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/Jin16,
author = {Lingfei Jin},
title = {A Construction of Permutation Codes From Rational Function Fields
and Improvement to the Gilbert-Varshamov Bound},
journal = {{IEEE} Trans. Inf. Theory},
volume = {62},
number = {1},
pages = {159--162},
year = {2016},
url = {https://doi.org/10.1109/TIT.2015.2500561},
doi = {10.1109/TIT.2015.2500561},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/Jin16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/DebalsBL16,
author = {Otto Debals and
Marc Van Barel and
Lieven De Lathauwer},
title = {L{\"{o}}wner-Based Blind Signal Separation of Rational Functions
With Applications},
journal = {{IEEE} Trans. Signal Process.},
volume = {64},
number = {8},
pages = {1909--1918},
year = {2016},
url = {https://doi.org/10.1109/TSP.2015.2500179},
doi = {10.1109/TSP.2015.2500179},
timestamp = {Wed, 19 May 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tsp/DebalsBL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/agi/EverittFDH16,
author = {Tom Everitt and
Daniel Filan and
Mayank Daswani and
Marcus Hutter},
editor = {Bas R. Steunebrink and
Pei Wang and
Ben Goertzel},
title = {Self-Modification of Policy and Utility Function in Rational Agents},
booktitle = {Artificial General Intelligence - 9th International Conference, {AGI}
2016, New York, NY, USA, July 16-19, 2016, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9782},
pages = {1--11},
publisher = {Springer},
year = {2016},
url = {https://doi.org/10.1007/978-3-319-41649-6\_1},
doi = {10.1007/978-3-319-41649-6\_1},
timestamp = {Tue, 14 May 2019 10:00:45 +0200},
biburl = {https://dblp.org/rec/conf/agi/EverittFDH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/ChesiC16,
author = {Graziano Chesi and
Patrizio Colaneri},
title = {On the {RMS} gain of switched systems via homogeneous rational Lyapunov
functions},
booktitle = {55th {IEEE} Conference on Decision and Control, {CDC} 2016, Las Vegas,
NV, USA, December 12-14, 2016},
pages = {7240--7245},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/CDC.2016.7799386},
doi = {10.1109/CDC.2016.7799386},
timestamp = {Fri, 04 Mar 2022 13:29:43 +0100},
biburl = {https://dblp.org/rec/conf/cdc/ChesiC16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dlt/ChoffrutG16,
author = {Christian Choffrut and
Bruno Guillon},
editor = {Srecko Brlek and
Christophe Reutenauer},
title = {Both Ways Rational Functions},
booktitle = {Developments in Language Theory - 20th International Conference, {DLT}
2016, Montr{\'{e}}al, Canada, July 25-28, 2016, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9840},
pages = {114--124},
publisher = {Springer},
year = {2016},
url = {https://doi.org/10.1007/978-3-662-53132-7\_10},
doi = {10.1007/978-3-662-53132-7\_10},
timestamp = {Tue, 14 May 2019 10:00:40 +0200},
biburl = {https://dblp.org/rec/conf/dlt/ChoffrutG16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fsttcs/FiliotGL16,
author = {Emmanuel Filiot and
Olivier Gauwin and
Nathan Lhote},
editor = {Akash Lal and
S. Akshay and
Saket Saurabh and
Sandeep Sen},
title = {Aperiodicity of Rational Functions Is PSPACE-Complete},
booktitle = {36th {IARCS} Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, {FSTTCS} 2016, December 13-15, 2016,
Chennai, India},
series = {LIPIcs},
volume = {65},
pages = {13:1--13:15},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2016},
url = {https://doi.org/10.4230/LIPIcs.FSTTCS.2016.13},
doi = {10.4230/LIPICS.FSTTCS.2016.13},
timestamp = {Tue, 30 Nov 2021 13:29:05 +0100},
biburl = {https://dblp.org/rec/conf/fsttcs/FiliotGL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fuzzIEEE/HuJ16,
author = {Zhiming Hu and
Zhenhua Jiao},
title = {A further study on contraction-expansion rationality conditions of
fuzzy choice functions},
booktitle = {2016 {IEEE} International Conference on Fuzzy Systems, {FUZZ-IEEE}
2016, Vancouver, BC, Canada, July 24-29, 2016},
pages = {1461--1464},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/FUZZ-IEEE.2016.7737861},
doi = {10.1109/FUZZ-IEEE.2016.7737861},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/fuzzIEEE/HuJ16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fuzzIEEE/MassanetRR16,
author = {Sebasti{\`{a}} Massanet and
Juan Vicente Riera and
Daniel Ruiz{-}Aguilera},
title = {On rational fuzzy implication functions},
booktitle = {2016 {IEEE} International Conference on Fuzzy Systems, {FUZZ-IEEE}
2016, Vancouver, BC, Canada, July 24-29, 2016},
pages = {272--279},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/FUZZ-IEEE.2016.7737697},
doi = {10.1109/FUZZ-IEEE.2016.7737697},
timestamp = {Wed, 25 Sep 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/fuzzIEEE/MassanetRR16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iscas/Filanovsky16,
author = {Igor M. Filanovsky},
title = {Property of rational functions related to band-pass transformation},
booktitle = {{IEEE} International Symposium on Circuits and Systems, {ISCAS} 2016,
Montr{\'{e}}al, QC, Canada, May 22-25, 2016},
pages = {1794--1797},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/ISCAS.2016.7538917},
doi = {10.1109/ISCAS.2016.7538917},
timestamp = {Wed, 16 Oct 2019 14:14:49 +0200},
biburl = {https://dblp.org/rec/conf/iscas/Filanovsky16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/AlvandiKM16,
author = {Parisa Alvandi and
Mahsa Kazemi and
Marc Moreno Maza},
editor = {Sergei A. Abramov and
Eugene V. Zima and
Xiao{-}Shan Gao},
title = {Computing Limits of Real Multivariate Rational Functions},
booktitle = {Proceedings of the {ACM} on International Symposium on Symbolic and
Algebraic Computation, {ISSAC} 2016, Waterloo, ON, Canada, July 19-22,
2016},
pages = {39--46},
publisher = {{ACM}},
year = {2016},
url = {https://doi.org/10.1145/2930889.2930938},
doi = {10.1145/2930889.2930938},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/AlvandiKM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/meco/YesikovI16,
author = {Dmitry O. Yesikov and
Alexey N. Ivutin},
title = {Rational values of parameters of island genetic algorithms for the
effective solution of problems of ensuring stability of functioning
of the distributed information systems},
booktitle = {5th Mediterranean Conference on Embedded Computing, {MECO} 2016, Bar,
Montenegro, June 12-16, 2016},
pages = {309--312},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/MECO.2016.7525769},
doi = {10.1109/MECO.2016.7525769},
timestamp = {Mon, 09 Aug 2021 14:54:01 +0200},
biburl = {https://dblp.org/rec/conf/meco/YesikovI16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/siu/EfendiogluTTIC16,
author = {Mehmet Efendioglu and
Mustafa Teke and
Huseyin Topan and
Suleyman Egemen Imre and
Ali Cam},
title = {Position accuracy assessment of G{\"{o}}kt{\"{u}}rk-2 satellite
images by using Rational Function Model},
booktitle = {24th Signal Processing and Communication Application Conference, {SIU}
2016, Zonguldak, Turkey, May 16-19, 2016},
pages = {2137--2140},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/SIU.2016.7496195},
doi = {10.1109/SIU.2016.7496195},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/siu/EfendiogluTTIC16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/vcip/LinJY16,
author = {Qiaozhou Lin and
Cheolkon Jung and
Shengtao Yu},
title = {Backward compatible opto-electrical transfer function for {HDR} video
coding based on rational quantization},
booktitle = {2016 Visual Communications and Image Processing, {VCIP} 2016, Chengdu,
China, November 27-30, 2016},
pages = {1--4},
publisher = {{IEEE}},
year = {2016},
url = {https://doi.org/10.1109/VCIP.2016.7805466},
doi = {10.1109/VCIP.2016.7805466},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/vcip/LinJY16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/EverittFDH16,
author = {Tom Everitt and
Daniel Filan and
Mayank Daswani and
Marcus Hutter},
title = {Self-Modification of Policy and Utility Function in Rational Agents},
journal = {CoRR},
volume = {abs/1605.03142},
year = {2016},
url = {http://arxiv.org/abs/1605.03142},
eprinttype = {arXiv},
eprint = {1605.03142},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/EverittFDH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/ValmorbidaA16,
author = {Giorgio Valmorbida and
James Anderson},
title = {Region of Attraction Estimation Using Invariant Sets and Rational
Lyapunov Functions},
journal = {CoRR},
volume = {abs/1604.01084},
year = {2016},
url = {http://arxiv.org/abs/1604.01084},
eprinttype = {arXiv},
eprint = {1604.01084},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/ValmorbidaA16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aaecc/Norton15,
author = {Graham H. Norton},
title = {On sequences, rational functions and decomposition},
journal = {Appl. Algebra Eng. Commun. Comput.},
volume = {26},
number = {5},
pages = {427--463},
year = {2015},
url = {https://doi.org/10.1007/s00200-015-0256-5},
doi = {10.1007/S00200-015-0256-5},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aaecc/Norton15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/HouW15,
author = {Qing{-}Hu Hou and
Rong{-}Hua Wang},
title = {An algorithm for deciding the summability of bivariate rational functions},
journal = {Adv. Appl. Math.},
volume = {64},
pages = {31--49},
year = {2015},
url = {https://doi.org/10.1016/j.aam.2014.11.002},
doi = {10.1016/J.AAM.2014.11.002},
timestamp = {Thu, 08 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aam/HouW15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Fukushima15,
author = {Toshio Fukushima},
title = {Precise and fast computation of inverse Fermi-Dirac integral of order
1/2 by minimax rational function approximation},
journal = {Appl. Math. Comput.},
volume = {259},
pages = {698--707},
year = {2015},
url = {https://doi.org/10.1016/j.amc.2015.03.015},
doi = {10.1016/J.AMC.2015.03.015},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Fukushima15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/SendraS15,
author = {Juana Sendra and
J. Rafael Sendra},
title = {Gr{\"{o}}bner basis computation of Drazin inverses with multivariate
rational function entries},
journal = {Appl. Math. Comput.},
volume = {259},
pages = {450--459},
year = {2015},
url = {https://doi.org/10.1016/j.amc.2015.02.070},
doi = {10.1016/J.AMC.2015.02.070},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/SendraS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/MoirCJ15,
author = {Robert H. C. Moir and
Robert M. Corless and
David J. Jeffrey},
title = {Unwinding paths on the Riemann sphere for continuous integrals of
rational functions},
journal = {{ACM} Commun. Comput. Algebra},
volume = {49},
number = {1},
pages = {35},
year = {2015},
url = {https://doi.org/10.1145/2768577.2768654},
doi = {10.1145/2768577.2768654},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/MoirCJ15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/Maldonado-Ramirez15,
author = {Myriam Maldonado{-}Ram{\'{\i}}rez and
Martha Rzedowski{-}Calder{\'{o}}n and
Gabriel Villa{-}Salvador},
title = {Corrigendum to "Genus fields of abelian extensions of rational congruence
function fields" [Finite Fields and Their Applications 20 {(2013)}
40-54]},
journal = {Finite Fields Their Appl.},
volume = {33},
pages = {283--285},
year = {2015},
url = {https://doi.org/10.1016/j.ffa.2014.08.003},
doi = {10.1016/J.FFA.2014.08.003},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/Maldonado-Ramirez15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/BlancoP15,
author = {V{\'{\i}}ctor Blanco and
Justo Puerto},
title = {Short rational generating functions for solving some families of fuzzy
integer programming problems},
journal = {Fuzzy Sets Syst.},
volume = {272},
pages = {30--46},
year = {2015},
url = {https://doi.org/10.1016/j.fss.2014.11.003},
doi = {10.1016/J.FSS.2014.11.003},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fss/BlancoP15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/Jiao15,
author = {Zhenhua Jiao},
title = {A note on rationality conditions of fuzzy choice functions},
journal = {Fuzzy Sets Syst.},
volume = {274},
pages = {62--78},
year = {2015},
url = {https://doi.org/10.1016/j.fss.2014.07.023},
doi = {10.1016/J.FSS.2014.07.023},
timestamp = {Fri, 28 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fss/Jiao15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fuin/DesaiC15,
author = {Santosh S. Desai and
Shrikant R. Chaudhari},
title = {On Q-rationality of Fuzzy Choice Functions on Base Domains},
journal = {Fundam. Informaticae},
volume = {139},
number = {2},
pages = {127--151},
year = {2015},
url = {https://doi.org/10.3233/FI-2015-1229},
doi = {10.3233/FI-2015-1229},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/fuin/DesaiC15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/Shmerling15,
author = {Efraim Shmerling},
title = {Algorithms for generating random variables with a rational probability-generating
function},
journal = {Int. J. Comput. Math.},
volume = {92},
number = {9},
pages = {2001--2010},
year = {2015},
url = {https://doi.org/10.1080/00207160.2014.945918},
doi = {10.1080/00207160.2014.945918},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/Shmerling15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/TahatPY15,
author = {Ayser Nasir Hassan Tahat and
Abd. Rahni Mt. Piah and
Zainor Ridzuan Yahya},
title = {Shape Preserving Data Interpolation Using Rational Cubic Ball Functions},
journal = {J. Appl. Math.},
volume = {2015},
pages = {908924:1--908924:9},
year = {2015},
url = {https://doi.org/10.1155/2015/908924},
doi = {10.1155/2015/908924},
timestamp = {Thu, 16 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jam/TahatPY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Prokhorov15,
author = {Vasiliy A. Prokhorov},
title = {On rational approximation of Markov functions on finite sets},
journal = {J. Approx. Theory},
volume = {191},
pages = {94--117},
year = {2015},
url = {https://doi.org/10.1016/j.jat.2014.10.006},
doi = {10.1016/J.JAT.2014.10.006},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Prokhorov15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/StraubZ15,
author = {Armin Straub and
Wadim Zudilin},
title = {Positivity of rational functions and their diagonals},
journal = {J. Approx. Theory},
volume = {195},
pages = {57--69},
year = {2015},
url = {https://doi.org/10.1016/j.jat.2014.05.012},
doi = {10.1016/J.JAT.2014.05.012},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/StraubZ15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/BultheelHN15,
author = {Adhemar Bultheel and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {Holomorphic functions associated with indeterminate rational moment
problems},
journal = {J. Comput. Appl. Math.},
volume = {284},
pages = {101--114},
year = {2015},
url = {https://doi.org/10.1016/j.cam.2014.06.002},
doi = {10.1016/J.CAM.2014.06.002},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/BultheelHN15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Fukushima15,
author = {Toshio Fukushima},
title = {Precise and fast computation of complete elliptic integrals by piecewise
minimax rational function approximation},
journal = {J. Comput. Appl. Math.},
volume = {282},
pages = {71--76},
year = {2015},
url = {https://doi.org/10.1016/j.cam.2014.12.038},
doi = {10.1016/J.CAM.2014.12.038},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Fukushima15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ItoANS15,
author = {Shinji Ito and
Kensuke Aishima and
Takaaki Nara and
Masaaki Sugihara},
title = {Orthogonal polynomial approach to estimation of poles of rational
functions from data on open curves},
journal = {J. Comput. Appl. Math.},
volume = {273},
pages = {326--345},
year = {2015},
url = {https://doi.org/10.1016/j.cam.2014.05.028},
doi = {10.1016/J.CAM.2014.05.028},
timestamp = {Tue, 21 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ItoANS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsyml/Woods15,
author = {Kevin Woods},
title = {Presburger Arithmetic, Rational Generating Functions, and quasi-polynomials},
journal = {J. Symb. Log.},
volume = {80},
number = {2},
pages = {433--449},
year = {2015},
url = {https://doi.org/10.1017/jsl.2015.4},
doi = {10.1017/JSL.2015.4},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsyml/Woods15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/kybernetika/ColettiPV15,
author = {Giulianella Coletti and
Davide Petturiti and
Barbara Vantaggi},
title = {Rationality principles for preferences on belief functions},
journal = {Kybernetika},
volume = {51},
number = {3},
pages = {486--507},
year = {2015},
url = {https://doi.org/10.14736/kyb-2015-3-0486},
doi = {10.14736/KYB-2015-3-0486},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/kybernetika/ColettiPV15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/YarmanF15,
author = {Can Evren Yarman and
Garret M. Flagg},
title = {Generalization of Pad{\'{e}} approximation from rational functions
to arbitrary analytic functions - Theory},
journal = {Math. Comput.},
volume = {84},
number = {294},
pages = {1835--1860},
year = {2015},
url = {https://doi.org/10.1090/S0025-5718-2015-02928-7},
doi = {10.1090/S0025-5718-2015-02928-7},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/YarmanF15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/LeB15,
author = {Thanh Hieu Le and
Marc Van Barel},
title = {An algorithm for decomposing a non-negative polynomial as a sum of
squares of rational functions},
journal = {Numer. Algorithms},
volume = {69},
number = {2},
pages = {397--413},
year = {2015},
url = {https://doi.org/10.1007/s11075-014-9903-3},
doi = {10.1007/S11075-014-9903-3},
timestamp = {Wed, 19 May 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/LeB15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nmnc/FotsoF15,
author = {Sim{\'{e}}on Fotso and
Louis Aim{\'{e}} Fono},
title = {On the Rationality of Some Crisp Choice Functions Based on Strongly
Complete Fuzzy Pre-Orders},
journal = {New Math. Nat. Comput.},
volume = {11},
number = {1},
pages = {103--113},
year = {2015},
url = {https://doi.org/10.1142/S1793005715500052},
doi = {10.1142/S1793005715500052},
timestamp = {Wed, 08 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nmnc/FotsoF15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/ChesiM15,
author = {Graziano Chesi and
Richard H. Middleton},
title = {H\({}_{\mbox{{\(\infty\)}}}\) and H\({}_{\mbox{2}}\) Norms of 2-D
Mixed Continuous-Discrete-Time Systems via Rationally-Dependent Complex
Lyapunov Functions},
journal = {{IEEE} Trans. Autom. Control.},
volume = {60},
number = {10},
pages = {2614--2625},
year = {2015},
url = {https://doi.org/10.1109/TAC.2015.2404491},
doi = {10.1109/TAC.2015.2404491},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/ChesiM15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcst/BolderO15,
author = {Joost Bolder and
Tom Oomen},
title = {Rational Basis Functions in Iterative Learning Control - With Experimental
Verification on a Motion System},
journal = {{IEEE} Trans. Control. Syst. Technol.},
volume = {23},
number = {2},
pages = {722--729},
year = {2015},
url = {https://doi.org/10.1109/TCST.2014.2327578},
doi = {10.1109/TCST.2014.2327578},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcst/BolderO15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/te/Roy15,
author = {Suhash C. Dutta Roy},
title = {Comments on "Fair and Square Computation of Inverse Z-Transforms of
Rational Functions"},
journal = {{IEEE} Trans. Educ.},
volume = {58},
number = {1},
pages = {56--57},
year = {2015},
url = {https://doi.org/10.1109/TE.2014.2318680},
doi = {10.1109/TE.2014.2318680},
timestamp = {Thu, 16 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/te/Roy15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tgrs/JiangZCLTH15,
author = {Yong{-}hua Jiang and
Guo Zhang and
Peng Chen and
Deren Li and
Xinming Tang and
Wen{-}chao Huang},
title = {Systematic Error Compensation Based on a Rational Function Model for
Ziyuan1-02C},
journal = {{IEEE} Trans. Geosci. Remote. Sens.},
volume = {53},
number = {7},
pages = {3985--3995},
year = {2015},
url = {https://doi.org/10.1109/TGRS.2015.2388700},
doi = {10.1109/TGRS.2015.2388700},
timestamp = {Fri, 28 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tgrs/JiangZCLTH15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tit/JinX15,
author = {Lingfei Jin and
Chaoping Xing},
title = {New Binary Codes From Rational Function Fields},
journal = {{IEEE} Trans. Inf. Theory},
volume = {61},
number = {1},
pages = {60--65},
year = {2015},
url = {https://doi.org/10.1109/TIT.2014.2352306},
doi = {10.1109/TIT.2014.2352306},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/JinX15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/ZundertBO15,
author = {Jurgen van Zundert and
Joost Bolder and
Tom Oomen},
title = {Iterative Learning Control for varying tasks: Achieving optimality
for rational basis functions},
booktitle = {American Control Conference, {ACC} 2015, Chicago, IL, USA, July 1-3,
2015},
pages = {3570--3575},
publisher = {{IEEE}},
year = {2015},
url = {https://doi.org/10.1109/ACC.2015.7171884},
doi = {10.1109/ACC.2015.7171884},
timestamp = {Fri, 03 Dec 2021 13:03:59 +0100},
biburl = {https://dblp.org/rec/conf/amcc/ZundertBO15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/AbramovPR15,
author = {Sergei A. Abramov and
Marko Petkovsek and
Anna A. Ryabenko},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Werner M. Seiler and
Evgenii V. Vorozhtsov},
title = {Hypergeometric Solutions of First-Order Linear Difference Systems
with Rational-Function Coefficients},
booktitle = {Computer Algebra in Scientific Computing - 17th International Workshop,
{CASC} 2015, Aachen, Germany, September 14-18, 2015, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9301},
pages = {1--14},
publisher = {Springer},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-24021-3\_1},
doi = {10.1007/978-3-319-24021-3\_1},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/casc/AbramovPR15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/DobanL15,
author = {Alina Ionela Doban and
Mircea Lazar},
title = {Feedback stabilization via rational control Lyapunov functions},
booktitle = {54th {IEEE} Conference on Decision and Control, {CDC} 2015, Osaka,
Japan, December 15-18, 2015},
pages = {1148--1153},
publisher = {{IEEE}},
year = {2015},
url = {https://doi.org/10.1109/CDC.2015.7402366},
doi = {10.1109/CDC.2015.7402366},
timestamp = {Thu, 02 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/DobanL15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eucc/Opmeer15,
author = {Mark R. Opmeer},
title = {Optimal model reduction for non-rational functions},
booktitle = {14th European Control Conference, {ECC} 2015, Linz, Austria, July
15-17, 2015},
pages = {362--367},
publisher = {{IEEE}},
year = {2015},
url = {https://doi.org/10.1109/ECC.2015.7330571},
doi = {10.1109/ECC.2015.7330571},
timestamp = {Tue, 01 Jun 2021 15:22:59 +0200},
biburl = {https://dblp.org/rec/conf/eucc/Opmeer15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eusflat/MartinettiMDB15,
author = {Davide Martinetti and
Susana Montes and
Susana D{\'{\i}}az and
Bernard De Baets},
editor = {Jos{\'{e}} Maria Alonso and
Humberto Bustince and
Marek Z. Reformat},
title = {Fuzzy and probabilistic choice functions: a new set of rationality
conditions},
booktitle = {2015 Conference of the International Fuzzy Systems Association and
the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15),
Gij{\'{o}}n, Spain., June 30, 2015},
publisher = {Atlantis Press},
year = {2015},
timestamp = {Thu, 06 Oct 2022 12:30:16 +0200},
biburl = {https://dblp.org/rec/conf/eusflat/MartinettiMDB15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icassp/DebalsBL15,
author = {Otto Debals and
Marc Van Barel and
Lieven De Lathauwer},
title = {Blind signal separation of rational functions using L{\"{o}}wner-based
tensorization},
booktitle = {2015 {IEEE} International Conference on Acoustics, Speech and Signal
Processing, {ICASSP} 2015, South Brisbane, Queensland, Australia,
April 19-24, 2015},
pages = {4145--4149},
publisher = {{IEEE}},
year = {2015},
url = {https://doi.org/10.1109/ICASSP.2015.7178751},
doi = {10.1109/ICASSP.2015.7178751},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/icassp/DebalsBL15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icsipa/HosseiniG15,
author = {S. Abolfazl Hosseini and
Hassan Ghassemian},
title = {A novel approach to hyperspectral data feature extraction using rational
function curve fitting},
booktitle = {2015 {IEEE} International Conference on Signal and Image Processing
Applications, {ICSIPA} 2015, Kuala Lumpur, Malaysia, October 19-21,
2015},
pages = {494--499},
publisher = {{IEEE}},
year = {2015},
url = {https://doi.org/10.1109/ICSIPA.2015.7412241},
doi = {10.1109/ICSIPA.2015.7412241},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icsipa/HosseiniG15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/BarkatouM15,
author = {Moulay A. Barkatou and
Suzy S. Maddah},
editor = {Kazuhiro Yokoyama and
Steve Linton and
Daniel Robertz},
title = {Removing Apparent Singularities of Systems of Linear Differential
Equations with Rational Function Coefficients},
booktitle = {Proceedings of the 2015 {ACM} on International Symposium on Symbolic
and Algebraic Computation, {ISSAC} 2015, Bath, United Kingdom, July
06 - 09, 2015},
pages = {53--60},
publisher = {{ACM}},
year = {2015},
url = {https://doi.org/10.1145/2755996.2756668},
doi = {10.1145/2755996.2756668},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/BarkatouM15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ksem/MaLD15,
author = {Jianbing Ma and
Weiru Liu and
Didier Dubois},
editor = {Songmao Zhang and
Martin Wirsing and
Zili Zhang},
title = {Rational Partial Choice Functions and Their Application to Belief
Revision},
booktitle = {Knowledge Science, Engineering and Management - 8th International
Conference, {KSEM} 2015, Chongqing, China, October 28-30, 2015, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9403},
pages = {128--140},
publisher = {Springer},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-25159-2\_11},
doi = {10.1007/978-3-319-25159-2\_11},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/ksem/MaLD15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ncma/MrazOP15,
author = {Frantisek Mr{\'{a}}z and
Friedrich Otto and
Daniel Prr{u}v{s}a},
editor = {Rudolf Freund and
Markus Holzer and
Nelma Moreira and
Rog{\'{e}}rio Reis},
title = {On a class of rational functions for pictures},
booktitle = {Seventh Workshop on Non-Classical Models of Automata and Applications
- {NCMA} 2015, Porto, Portugal, August 31 - September 1, 2015. Proceedings},
series = {books@ocg.at},
volume = {318},
pages = {159--176},
publisher = {{\"{O}}sterreichische Computer Gesellschaft},
year = {2015},
timestamp = {Thu, 17 Mar 2016 10:50:07 +0100},
biburl = {https://dblp.org/rec/conf/ncma/MrazOP15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BelliniM15,
author = {Emanuele Bellini and
Nadir Murru},
title = {An efficient and secure RSA-like cryptosystem exploiting R{\'{e}}dei
rational functions over conics},
journal = {CoRR},
volume = {abs/1511.03451},
year = {2015},
url = {http://arxiv.org/abs/1511.03451},
eprinttype = {arXiv},
eprint = {1511.03451},
timestamp = {Thu, 13 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BelliniM15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/CegielskiGG15,
author = {Patrick C{\'{e}}gielski and
Serge Grigorieff and
Ir{\`{e}}ne Guessarian},
title = {Characterizing congruence preserving functions {\textdollar}Z/nZ{\textbackslash}to
Z/mZ{\textdollar} via rational polynomials},
journal = {CoRR},
volume = {abs/1506.00133},
year = {2015},
url = {http://arxiv.org/abs/1506.00133},
eprinttype = {arXiv},
eprint = {1506.00133},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/CegielskiGG15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Lhote15,
author = {Nathan Lhote},
title = {Towards an algebraic characterization of rational word functions},
journal = {CoRR},
volume = {abs/1506.06497},
year = {2015},
url = {http://arxiv.org/abs/1506.06497},
eprinttype = {arXiv},
eprint = {1506.06497},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Lhote15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Norton15,
author = {Graham H. Norton},
title = {On Sequences, Rational Functions and Decomposition},
journal = {CoRR},
volume = {abs/1502.06152},
year = {2015},
url = {http://arxiv.org/abs/1502.06152},
eprinttype = {arXiv},
eprint = {1502.06152},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Norton15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/SchrijverAV14,
author = {Steven K. De Schrijver and
El Houssaine Aghezzaf and
Hendrik Vanmaele},
title = {Double precision rational approximation algorithm for the inverse
standard normal second order loss function},
journal = {Appl. Math. Comput.},
volume = {232},
pages = {247--253},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2013.12.192},
doi = {10.1016/J.AMC.2013.12.192},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/SchrijverAV14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ZhangM14,
author = {Huiqun Zhang and
Wen{-}Xiu Ma},
title = {Extended transformed rational function method and applications to
complexiton solutions},
journal = {Appl. Math. Comput.},
volume = {230},
pages = {509--515},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2013.12.156},
doi = {10.1016/J.AMC.2013.12.156},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/ZhangM14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ana/ChandV14,
author = {Arya Kumar Bedabrata Chand and
N. Vijender},
title = {Monotonicity Preserving Rational Quadratic Fractal Interpolation Functions},
journal = {Adv. Numer. Anal.},
volume = {2014},
pages = {504825:1--504825:17},
year = {2014},
url = {https://doi.org/10.1155/2014/504825},
doi = {10.1155/2014/504825},
timestamp = {Tue, 25 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ana/ChandV14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cagd/TakacsJS14,
author = {Thomas Takacs and
Bert J{\"{u}}ttler and
Otmar Scherzer},
title = {Derivatives of isogeometric functions on n-dimensional rational patches
in R\({}^{\mbox{d}}\)},
journal = {Comput. Aided Geom. Des.},
volume = {31},
number = {7-8},
pages = {567--581},
year = {2014},
url = {https://doi.org/10.1016/j.cagd.2014.06.005},
doi = {10.1016/J.CAGD.2014.06.005},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cagd/TakacsJS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cssp/MoshfeHKH14,
author = {Sajjad Moshfe and
Pourya Hoseini and
Abdollah Khoei and
Khayrollah Hadidi},
title = {A Fully Programmable Analog {CMOS} Rational-Powered Membership Function
Generator with Continuously Adjustable High Precision Parameters},
journal = {Circuits Syst. Signal Process.},
volume = {33},
number = {5},
pages = {1337--1352},
year = {2014},
url = {https://doi.org/10.1007/s00034-013-9698-9},
doi = {10.1007/S00034-013-9698-9},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cssp/MoshfeHKH14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/em/BenedettoCHKW14,
author = {Robert L. Benedetto and
Ruqian Chen and
Trevor Hyde and
Yordanka Kovacheva and
Colin White},
title = {Small Dynamical Heights for Quadratic Polynomials and Rational Functions},
journal = {Exp. Math.},
volume = {23},
number = {4},
pages = {433--447},
year = {2014},
url = {https://doi.org/10.1080/10586458.2014.938203},
doi = {10.1080/10586458.2014.938203},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/em/BenedettoCHKW14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/Valentini14,
author = {Robert C. Valentini},
title = {Galois closures of quartic subfields of rational function fields},
journal = {Finite Fields Their Appl.},
volume = {26},
pages = {100--103},
year = {2014},
url = {https://doi.org/10.1016/j.ffa.2013.11.005},
doi = {10.1016/J.FFA.2013.11.005},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/Valentini14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fodm/MartinettiMDB14,
author = {Davide Martinetti and
Susana Montes and
Susana D{\'{\i}}az and
Bernard De Baets},
title = {On Arrow-Sen style equivalences between rationality conditions for
fuzzy choice functions},
journal = {Fuzzy Optim. Decis. Mak.},
volume = {13},
number = {4},
pages = {369--396},
year = {2014},
url = {https://doi.org/10.1007/s10700-014-9187-z},
doi = {10.1007/S10700-014-9187-Z},
timestamp = {Fri, 13 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fodm/MartinettiMDB14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/MartinettiBDM14,
author = {Davide Martinetti and
Bernard De Baets and
Susana D{\'{\i}}az and
Susana Montes},
title = {On the role of acyclicity in the study of rationality of fuzzy choice
functions},
journal = {Fuzzy Sets Syst.},
volume = {239},
pages = {35--50},
year = {2014},
url = {https://doi.org/10.1016/j.fss.2013.07.018},
doi = {10.1016/J.FSS.2013.07.018},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fss/MartinettiBDM14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcta/Carrasco-Robles14,
author = {Manuel Carrasco{-}Robles and
Luis Serrano},
title = {Novel translinear differential implementation of rational functions
with squared denominators},
journal = {Int. J. Circuit Theory Appl.},
volume = {42},
number = {12},
pages = {1290--1305},
year = {2014},
url = {https://doi.org/10.1002/cta.1921},
doi = {10.1002/CTA.1921},
timestamp = {Fri, 09 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcta/Carrasco-Robles14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/CuiY14,
author = {Xiaona Cui and
Suxia Yao},
title = {Expansions of Functions Based on Rational Orthogonal Basis with Nonnegative
Instantaneous Frequencies},
journal = {J. Appl. Math.},
volume = {2014},
pages = {526940:1--526940:6},
year = {2014},
url = {https://doi.org/10.1155/2014/526940},
doi = {10.1155/2014/526940},
timestamp = {Thu, 16 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jam/CuiY14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/MaYW14,
author = {Youneng Ma and
Jinhua Yu and
Yuanyuan Wang},
title = {Efficient Recursive Methods for Partial Fraction Expansion of General
Rational Functions},
journal = {J. Appl. Math.},
volume = {2014},
pages = {895036:1--895036:18},
year = {2014},
url = {https://doi.org/10.1155/2014/895036},
doi = {10.1155/2014/895036},
timestamp = {Thu, 16 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jam/MaYW14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ViswanathanC14,
author = {P. Viswanathan and
A. K. B. Chand},
title = {Fractal rational functions and their approximation properties},
journal = {J. Approx. Theory},
volume = {185},
pages = {31--50},
year = {2014},
url = {https://doi.org/10.1016/j.jat.2014.05.013},
doi = {10.1016/J.JAT.2014.05.013},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/ViswanathanC14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ViswanathanCA14,
author = {P. Viswanathan and
A. K. B. Chand and
Ravi P. Agarwal},
title = {Preserving convexity through rational cubic spline fractal interpolation
function},
journal = {J. Comput. Appl. Math.},
volume = {263},
pages = {262--276},
year = {2014},
url = {https://doi.org/10.1016/j.cam.2013.11.024},
doi = {10.1016/J.CAM.2013.11.024},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ViswanathanCA14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jgo/GuoWZ14,
author = {Feng Guo and
Li Wang and
Guangming Zhou},
title = {Minimizing rational functions by exact Jacobian {SDP} relaxation applicable
to finite singularities},
journal = {J. Glob. Optim.},
volume = {58},
number = {2},
pages = {261--284},
year = {2014},
url = {https://doi.org/10.1007/s10898-013-0047-0},
doi = {10.1007/S10898-013-0047-0},
timestamp = {Fri, 11 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/GuoWZ14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jlms/KyriazisP14,
author = {George Kyriazis and
Pencho Petrushev},
title = {Rational bases for spaces of holomorphic functions in the disc},
journal = {J. Lond. Math. Soc.},
volume = {89},
number = {2},
pages = {434--460},
year = {2014},
url = {https://doi.org/10.1112/jlms/jdt066},
doi = {10.1112/JLMS/JDT066},
timestamp = {Mon, 25 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jlms/KyriazisP14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jphil/NaumovN14,
author = {Pavel Naumov and
Brittany Nicholls},
title = {Rationally Functional Dependence},
journal = {J. Philos. Log.},
volume = {43},
number = {2-3},
pages = {603--616},
year = {2014},
url = {https://doi.org/10.1007/s10992-013-9283-5},
doi = {10.1007/S10992-013-9283-5},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jphil/NaumovN14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jscic/CastroGM14,
author = {Manuel J. Castro and
Jos{\'{e}} M. Gallardo and
Antonio Marquina},
title = {A Class of Incomplete Riemann Solvers Based on Uniform Rational Approximations
to the Absolute Value Function},
journal = {J. Sci. Comput.},
volume = {60},
number = {2},
pages = {363--389},
year = {2014},
url = {https://doi.org/10.1007/s10915-013-9800-2},
doi = {10.1007/S10915-013-9800-2},
timestamp = {Tue, 06 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/CastroGM14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/lmsjcm/LocziK14,
author = {Lajos L{\'{o}}czi and
David I. Ketcheson},
title = {Rational functions with maximal radius of absolute monotonicity},
journal = {{LMS} J. Comput. Math.},
volume = {17},
number = {1},
pages = {159--205},
year = {2014},
url = {https://doi.org/10.1112/s1461157013000326},
doi = {10.1112/S1461157013000326},
timestamp = {Sat, 27 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/lmsjcm/LocziK14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/lmsjcm/LukasMY14,
author = {David Lukas and
Michelle Manes and
Diane Yap},
title = {A census of quadratic post-critically finite rational functions defined
over},
journal = {{LMS} J. Comput. Math.},
volume = {17},
number = {Theory},
pages = {314--329},
year = {2014},
url = {https://doi.org/10.1112/s1461157014000266},
doi = {10.1112/S1461157014000266},
timestamp = {Sat, 27 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/lmsjcm/LukasMY14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mss/AndjigaMM14,
author = {Nicolas Gabriel Andjiga and
Aur{\'{e}}lien Y. Mekuko and
Issofa Moyouwou},
title = {Metric rationalization of social welfare functions},
journal = {Math. Soc. Sci.},
volume = {72},
pages = {14--23},
year = {2014},
url = {https://doi.org/10.1016/j.mathsocsci.2014.10.001},
doi = {10.1016/J.MATHSOCSCI.2014.10.001},
timestamp = {Tue, 26 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mss/AndjigaMM14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mss/Schwartz14,
author = {Thomas Schwartz},
title = {Choice functions and bounded rationality},
journal = {Math. Soc. Sci.},
volume = {68},
pages = {14--18},
year = {2014},
url = {https://doi.org/10.1016/j.mathsocsci.2013.11.002},
doi = {10.1016/J.MATHSOCSCI.2013.11.002},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mss/Schwartz14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/GuzmanN14,
author = {Johnny Guzm{\'{a}}n and
Michael Neilan},
title = {Symmetric and conforming mixed finite elements for plane elasticity
using rational bubble functions},
journal = {Numerische Mathematik},
volume = {126},
number = {1},
pages = {153--171},
year = {2014},
url = {https://doi.org/10.1007/s00211-013-0557-1},
doi = {10.1007/S00211-013-0557-1},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/GuzmanN14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sLogica/Hawthorne14,
author = {James Hawthorne},
title = {A Primer on Rational Consequence Relations, Popper Functions, and
Their Ranked Structures},
journal = {Stud Logica},
volume = {102},
number = {4},
pages = {731--749},
year = {2014},
url = {https://doi.org/10.1007/s11225-013-9523-2},
doi = {10.1007/S11225-013-9523-2},
timestamp = {Tue, 01 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/sLogica/Hawthorne14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scw/ChaudhariD14,
author = {Shrikant R. Chaudhari and
Santosh S. Desai},
title = {Transitive and acyclic rationality indicators of fuzzy choice functions
on base domain},
journal = {Soc. Choice Welf.},
volume = {42},
number = {2},
pages = {341--365},
year = {2014},
url = {https://doi.org/10.1007/s00355-013-0729-z},
doi = {10.1007/S00355-013-0729-Z},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/scw/ChaudhariD14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/GocklerG14,
author = {Tanja G{\"{o}}ckler and
Volker Grimm},
title = {Uniform Approximation of {\(\varphi\)}-Functions in Exponential Integrators
by a Rational Krylov Subspace Method with Simple Poles},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {35},
number = {4},
pages = {1467--1489},
year = {2014},
url = {https://doi.org/10.1137/140964655},
doi = {10.1137/140964655},
timestamp = {Tue, 26 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/GocklerG14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/Moulay14,
author = {Emmanuel Moulay},
title = {Rational Lyapunov Functions and Stable Algebraic Limit Cycles},
journal = {{IEEE} Trans. Autom. Control.},
volume = {59},
number = {4},
pages = {1077--1081},
year = {2014},
url = {https://doi.org/10.1109/TAC.2013.2283757},
doi = {10.1109/TAC.2013.2283757},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/Moulay14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcas/MaYW14,
author = {Youneng Ma and
Jinhua Yu and
Yuanyuan Wang},
title = {An Easy Pure Algebraic Method for Partial Fraction Expansion of Rational
Functions With Multiple High-Order Poles},
journal = {{IEEE} Trans. Circuits Syst. {I} Regul. Pap.},
volume = {61-I},
number = {3},
pages = {803--810},
year = {2014},
url = {https://doi.org/10.1109/TCSI.2013.2283998},
doi = {10.1109/TCSI.2013.2283998},
timestamp = {Fri, 22 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcas/MaYW14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tim/RawatRGBL14,
author = {Meenakshi Rawat and
Karun Rawat and
Fadhel M. Ghannouchi and
Shubhrajit Bhattacharjee and
Henry Leung},
title = {Generalized Rational Functions for Reduced-Complexity Behavioral Modeling
and Digital Predistortion of Broadband Wireless Transmitters},
journal = {{IEEE} Trans. Instrum. Meas.},
volume = {63},
number = {2},
pages = {485--498},
year = {2014},
url = {https://doi.org/10.1109/TIM.2013.2278598},
doi = {10.1109/TIM.2013.2278598},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tim/RawatRGBL14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/accv/LiuZGZ14,
author = {Yifang Liu and
Yunfeng Zhang and
Qiang Guo and
Caiming Zhang},
editor = {C. V. Jawahar and
Shiguang Shan},
title = {Image Interpolation Based on Weighted and Blended Rational Function},
booktitle = {Computer Vision - {ACCV} 2014 Workshops - Singapore, Singapore, November
1-2, 2014, Revised Selected Papers, Part {II}},
series = {Lecture Notes in Computer Science},
volume = {9009},
pages = {78--88},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-319-16631-5\_6},
doi = {10.1007/978-3-319-16631-5\_6},
timestamp = {Sat, 26 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/accv/LiuZGZ14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/csr/Pan14,
author = {Victor Y. Pan},
editor = {Edward A. Hirsch and
Sergei O. Kuznetsov and
Jean{-}{\'{E}}ric Pin and
Nikolay K. Vereshchagin},
title = {Fast Approximate Computations with Cauchy Matrices, Polynomials and
Rational Functions},
booktitle = {Computer Science - Theory and Applications - 9th International Computer
Science Symposium in Russia, {CSR} 2014, Moscow, Russia, June 7-11,
2014. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8476},
pages = {287--299},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-319-06686-8\_22},
doi = {10.1007/978-3-319-06686-8\_22},
timestamp = {Tue, 14 May 2019 10:00:51 +0200},
biburl = {https://dblp.org/rec/conf/csr/Pan14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icca/JennawasinKNL14,
author = {Tanagorn Jennawasin and
Michihiro Kawanishi and
Tatsuo Narikiyo and
Chun{-}Liang Lin},
title = {Guaranteed cost synthesis for polynomial systems using rational Lyapunov
functions},
booktitle = {11th {IEEE} International Conference on Control {\&} Automation,
{ICCA} 2014, Taichung, Taiwan, June 18-20, 2014},
pages = {839--842},
publisher = {{IEEE}},
year = {2014},
url = {https://doi.org/10.1109/ICCA.2014.6871030},
doi = {10.1109/ICCA.2014.6871030},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/icca/JennawasinKNL14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icimcs/WangAG14,
author = {Pu Wang and
Wei An and
Jing Guo},
editor = {Hanzi Wang and
Larry Davis and
Wenwu Zhu and
Stephan Kopf and
Yanyun Qu and
Jun Yu and
Jitao Sang and
Tao Mei},
title = {A Rational Function Model Refining Method Using Compressive Sampling},
booktitle = {International Conference on Internet Multimedia Computing and Service,
{ICIMCS} '14, Xiamen, China, July 10-12, 2014},
pages = {81},
publisher = {{ACM}},
year = {2014},
url = {https://doi.org/10.1145/2632856.2632940},
doi = {10.1145/2632856.2632940},
timestamp = {Mon, 18 Nov 2019 15:08:25 +0100},
biburl = {https://dblp.org/rec/conf/icimcs/WangAG14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pst/Nojoumian14,
author = {Mehrdad Nojoumian},
editor = {Ali Miri and
Urs Hengartner and
Nen{-}Fu Huang and
Audun J{\o}sang and
Joaqu{\'{\i}}n Garc{\'{\i}}a{-}Alfaro},
title = {Generalization of socio-rational secret sharing with a new utility
function},
booktitle = {2014 Twelfth Annual International Conference on Privacy, Security
and Trust, Toronto, ON, Canada, July 23-24, 2014},
pages = {338--341},
publisher = {{IEEE} Computer Society},
year = {2014},
url = {https://doi.org/10.1109/PST.2014.6890957},
doi = {10.1109/PST.2014.6890957},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/pst/Nojoumian14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Augot14,
author = {Daniel Augot},
title = {Generalization of Gabidulin Codes over Fields of Rational Functions},
journal = {CoRR},
volume = {abs/1412.6080},
year = {2014},
url = {http://arxiv.org/abs/1412.6080},
eprinttype = {arXiv},
eprint = {1412.6080},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Augot14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/HouW14,
author = {Qing{-}Hu Hou and
Rong{-}Hua Wang},
title = {An Algorithm for Deciding the Summability of Bivariate Rational Functions},
journal = {CoRR},
volume = {abs/1408.2473},
year = {2014},
url = {http://arxiv.org/abs/1408.2473},
eprinttype = {arXiv},
eprint = {1408.2473},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/HouW14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/MarkovskiMD14,
author = {Smile Markovski and
Aleksandra Mileva and
Vesna Dimitrova},
title = {{SBIM(Q)} - a Multivariate Polynomial Trapdoor Function over the Field
of Rational Numbers},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {739},
year = {2014},
url = {http://eprint.iacr.org/2014/739},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/MarkovskiMD14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/Chesi13,
author = {Graziano Chesi},
title = {Rational Lyapunov functions for estimating and controlling the robust
domain of attraction},
journal = {Autom.},
volume = {49},
number = {4},
pages = {1051--1057},
year = {2013},
url = {https://doi.org/10.1016/j.automatica.2013.01.032},
doi = {10.1016/J.AUTOMATICA.2013.01.032},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/automatica/Chesi13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/combinatorics/CeY13,
author = {Xin Guo Ce and
Zhou Yue},
title = {Residue Reduced Form of a Rational Function as an Iterated Laurent
Series},
journal = {Electron. J. Comb.},
volume = {20},
number = {1},
pages = {47},
year = {2013},
url = {https://doi.org/10.37236/2909},
doi = {10.37236/2909},
timestamp = {Fri, 10 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/combinatorics/CeY13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cor/BlancoBP13,
author = {V{\'{\i}}ctor Blanco and
Safae El{-}Haj Ben{-}Ali and
Justo Puerto},
title = {Minimizing ordered weighted averaging of rational functions with applications
to continuous location},
journal = {Comput. Oper. Res.},
volume = {40},
number = {5},
pages = {1448--1460},
year = {2013},
url = {https://doi.org/10.1016/j.cor.2012.10.005},
doi = {10.1016/J.COR.2012.10.005},
timestamp = {Tue, 18 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cor/BlancoBP13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cssc/SwiftW13,
author = {Andrew W. Swift and
Beichen Wang},
title = {Moment-Based Approximations of Discrete Probability Distributions
Using Rational Functions},
journal = {Commun. Stat. Simul. Comput.},
volume = {42},
number = {10},
pages = {2203--2222},
year = {2013},
url = {https://doi.org/10.1080/03610918.2012.695846},
doi = {10.1080/03610918.2012.695846},
timestamp = {Tue, 21 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cssc/SwiftW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/endm/FiegerB13,
author = {Regina Fieger and
Hans{-}Peter Blatt},
title = {Erd{\H{o}}s-Tur'an-Type Discrepancy for the Zeros of Rational Functions},
journal = {Electron. Notes Discret. Math.},
volume = {43},
pages = {401--409},
year = {2013},
url = {https://doi.org/10.1016/j.endm.2013.07.059},
doi = {10.1016/J.ENDM.2013.07.059},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/endm/FiegerB13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/Maldonado-RamirezRV13,
author = {Myriam Maldonado{-}Ram{\'{\i}}rez and
Martha Rzedowski{-}Calder{\'{o}}n and
Gabriel Villa{-}Salvador},
title = {Genus fields of abelian extensions of rational congruence function
fields},
journal = {Finite Fields Their Appl.},
volume = {20},
pages = {40--54},
year = {2013},
url = {https://doi.org/10.1016/j.ffa.2012.09.006},
doi = {10.1016/J.FFA.2012.09.006},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/Maldonado-RamirezRV13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijseke/Czarnacka-Chrobot13,
author = {Beata Czarnacka{-}Chrobot},
title = {Rationalization of Business Software Systems Development and enhancement
Projects Investment Decisions on the Basis of Functional Size Measurement},
journal = {Int. J. Softw. Eng. Knowl. Eng.},
volume = {23},
number = {6},
pages = {839--868},
year = {2013},
url = {https://doi.org/10.1142/S0218194013500228},
doi = {10.1142/S0218194013500228},
timestamp = {Wed, 22 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijseke/Czarnacka-Chrobot13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ClaeysW13,
author = {Tom Claeys and
Franck Wielonsky},
title = {On sequences of rational interpolants of the exponential function
with unbounded interpolation points},
journal = {J. Approx. Theory},
volume = {171},
pages = {1--32},
year = {2013},
url = {https://doi.org/10.1016/j.jat.2013.03.007},
doi = {10.1016/J.JAT.2013.03.007},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jat/ClaeysW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Boyd13,
author = {John P. Boyd},
title = {Rational Chebyshev series for the Thomas-Fermi function: Endpoint
singularities and spectral methods},
journal = {J. Comput. Appl. Math.},
volume = {244},
pages = {90--101},
year = {2013},
url = {https://doi.org/10.1016/j.cam.2012.11.015},
doi = {10.1016/J.CAM.2012.11.015},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Boyd13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/BultheelGHN13,
author = {Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {Quadratures associated with pseudo-orthogonal rational functions on
the real half line with poles in [-{\(\infty\)}, 0]},
journal = {J. Comput. Appl. Math.},
volume = {237},
number = {1},
pages = {589--602},
year = {2013},
url = {https://doi.org/10.1016/j.cam.2012.06.037},
doi = {10.1016/J.CAM.2012.06.037},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/BultheelGHN13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/NarayanH13,
author = {Akil C. Narayan and
Jan S. Hesthaven},
title = {A generalization of the Wiener rational basis functions on infinite
intervals, Part {II} - Numerical investigation},
journal = {J. Comput. Appl. Math.},
volume = {237},
number = {1},
pages = {18--34},
year = {2013},
url = {https://doi.org/10.1016/j.cam.2012.06.036},
doi = {10.1016/J.CAM.2012.06.036},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/NarayanH13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/HochmanLW13,
author = {Amit Hochman and
Yehuda Leviatan and
Jacob K. White},
title = {On the use of rational-function fitting methods for the solution of
2D Laplace boundary-value problems},
journal = {J. Comput. Phys.},
volume = {238},
pages = {337--358},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2012.08.015},
doi = {10.1016/J.JCP.2012.08.015},
timestamp = {Mon, 08 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/HochmanLW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/CastilloM13,
author = {Kenier Castillo and
Francisco Marcell{\'{a}}n},
title = {Generators of rational spectral transformations for nontrivial C-functions},
journal = {Math. Comput.},
volume = {82},
number = {282},
pages = {1057--1068},
year = {2013},
url = {https://doi.org/10.1090/S0025-5718-2012-02655-X},
doi = {10.1090/S0025-5718-2012-02655-X},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/CastilloM13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/Cheze13,
author = {Guillaume Ch{\`{e}}ze},
title = {A recombination algorithm for the decomposition of multivariate rational
functions},
journal = {Math. Comput.},
volume = {82},
number = {283},
pages = {1793--1812},
year = {2013},
url = {https://doi.org/10.1090/S0025-5718-2012-02658-5},
doi = {10.1090/S0025-5718-2012-02658-5},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/Cheze13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/PranicR13,
author = {Miroslav S. Pranic and
Lothar Reichel},
title = {Recurrence relations for orthogonal rational functions},
journal = {Numerische Mathematik},
volume = {123},
number = {4},
pages = {629--642},
year = {2013},
url = {https://doi.org/10.1007/s00211-012-0502-8},
doi = {10.1007/S00211-012-0502-8},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/PranicR13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/quanbio/ZhangSWLLYCZO13,
author = {Haoqian Zhang and
Ying Sheng and
Qianzhu Wu and
Ao Liu and
Yuheng Lu and
Zhenzhen Yin and
Yuansheng Cao and
Weiqian Zeng and
Qi Ouyang},
title = {Rational design of a biosensor circuit with semi-log dose-response
function in Escherichia coli},
journal = {Quant. Biol.},
volume = {1},
number = {3},
pages = {209--220},
year = {2013},
url = {https://doi.org/10.1007/s40484-013-0020-4},
doi = {10.1007/S40484-013-0020-4},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/quanbio/ZhangSWLLYCZO13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scira/SolokloF13,
author = {Hasan Nasiri Soloklo and
Malihe Maghfoori Farsangi},
title = {Chebyshev rational functions approximation for model order reduction
using harmony search},
journal = {Sci. Iran.},
volume = {20},
number = {3},
pages = {771--777},
year = {2013},
url = {https://doi.org/10.1016/j.scient.2013.04.009},
doi = {10.1016/J.SCIENT.2013.04.009},
timestamp = {Wed, 08 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/scira/SolokloF13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sensors/EftekhariSM13,
author = {Akram Eftekhari and
Mohammad Saadatseresht and
Mahdi Motagh},
title = {A Study on Rational Function Model Generation for TerraSAR-X Imagery},
journal = {Sensors},
volume = {13},
number = {9},
pages = {12030--12043},
year = {2013},
url = {https://doi.org/10.3390/s130912030},
doi = {10.3390/S130912030},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/sensors/EftekhariSM13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/FrommerKLR13,
author = {Andreas Frommer and
Karsten Kahl and
Thomas Lippert and
Hannah Rittich},
title = {2-Norm Error Bounds and Estimates for Lanczos Approximations to Linear
Systems and Rational Matrix Functions},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {34},
number = {3},
pages = {1046--1065},
year = {2013},
url = {https://doi.org/10.1137/110859749},
doi = {10.1137/110859749},
timestamp = {Tue, 26 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/FrommerKLR13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/synthese/Helzner13a,
author = {Jeffrey Helzner},
title = {Rationalizing two-tiered choice functions through conditional choice},
journal = {Synth.},
volume = {190},
number = {6},
pages = {929--951},
year = {2013},
url = {https://doi.org/10.1007/s11229-011-0056-9},
doi = {10.1007/S11229-011-0056-9},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/synthese/Helzner13a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/BolderOS13,
author = {Joost Bolder and
Tom Oomen and
Maarten Steinbuch},
title = {Exploiting rational basis functions in iterative learning control},
booktitle = {Proceedings of the 52nd {IEEE} Conference on Decision and Control,
{CDC} 2013, Florence, Italy, December 10-13, 2013},
pages = {7321--7326},
publisher = {{IEEE}},
year = {2013},
url = {https://doi.org/10.1109/CDC.2013.6761051},
doi = {10.1109/CDC.2013.6761051},
timestamp = {Fri, 04 Mar 2022 13:29:02 +0100},
biburl = {https://dblp.org/rec/conf/cdc/BolderOS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eucc/FerranteN13,
author = {Augusto Ferrante and
Lorenzo Ntogramatzidis},
title = {On the definition of negative imaginary system for not necessarily
rational symmetric transfer functions},
booktitle = {12th European Control Conference, {ECC} 2013, Zurich, Switzerland,
July 17-19, 2013},
pages = {312--316},
publisher = {{IEEE}},
year = {2013},
url = {https://doi.org/10.23919/ECC.2013.6669283},
doi = {10.23919/ECC.2013.6669283},
timestamp = {Mon, 09 Aug 2021 14:54:02 +0200},
biburl = {https://dblp.org/rec/conf/eucc/FerranteN13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hci/SchorrS13,
author = {Bernardo Santos Schorr and
Rejane Spitz},
editor = {Constantine Stephanidis and
Margherita Antona},
title = {Beyond Rationality: Affect as a Function of User Interfaces},
booktitle = {Universal Access in Human-Computer Interaction. User and Context Diversity
- 7th International Conference, {UAHCI} 2013, Held as Part of {HCI}
International 2013, Las Vegas, NV, USA, July 21-26, 2013, Proceedings,
Part {II}},
series = {Lecture Notes in Computer Science},
volume = {8010},
pages = {404--413},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-642-39191-0\_45},
doi = {10.1007/978-3-642-39191-0\_45},
timestamp = {Tue, 14 May 2019 10:00:43 +0200},
biburl = {https://dblp.org/rec/conf/hci/SchorrS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icalp/Woods13,
author = {Kevin Woods},
editor = {Fedor V. Fomin and
Rusins Freivalds and
Marta Z. Kwiatkowska and
David Peleg},
title = {Presburger Arithmetic, Rational Generating Functions, and Quasi-Polynomials},
booktitle = {Automata, Languages, and Programming - 40th International Colloquium,
{ICALP} 2013, Riga, Latvia, July 8-12, 2013, Proceedings, Part {II}},
series = {Lecture Notes in Computer Science},
volume = {7966},
pages = {410--421},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-642-39212-2\_37},
doi = {10.1007/978-3-642-39212-2\_37},
timestamp = {Tue, 14 May 2019 10:00:44 +0200},
biburl = {https://dblp.org/rec/conf/icalp/Woods13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/BostanLS13,
author = {Alin Bostan and
Pierre Lairez and
Bruno Salvy},
editor = {Manuel Kauers},
title = {Creative telescoping for rational functions using the griffiths: dwork
method},
booktitle = {International Symposium on Symbolic and Algebraic Computation, ISSAC'13,
Boston, MA, USA, June 26-29, 2013},
pages = {93--100},
publisher = {{ACM}},
year = {2013},
url = {https://doi.org/10.1145/2465506.2465935},
doi = {10.1145/2465506.2465935},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/BostanLS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/crc/13/Wan13a,
author = {Daqing Wan},
editor = {Gary L. Mullen and
Daniel Panario},
title = {Computing the number of rational points and zeta functions},
booktitle = {Handbook of Finite Fields},
series = {Discrete mathematics and its applications},
pages = {488--492},
publisher = {{CRC} Press},
year = {2013},
timestamp = {Mon, 08 Jun 2020 15:38:06 +0200},
biburl = {https://dblp.org/rec/books/crc/13/Wan13a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/RowlandY13,
author = {Eric S. Rowland and
Reem Yassawi},
title = {Automatic congruences for diagonals of rational functions},
journal = {CoRR},
volume = {abs/1310.8635},
year = {2013},
url = {http://arxiv.org/abs/1310.8635},
eprinttype = {arXiv},
eprint = {1310.8635},
timestamp = {Fri, 26 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/RowlandY13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1301-4313,
author = {Alin Bostan and
Pierre Lairez and
Bruno Salvy},
title = {Creative telescoping for rational functions using the Griffiths-Dwork
method},
journal = {CoRR},
volume = {abs/1301.4313},
year = {2013},
url = {http://arxiv.org/abs/1301.4313},
eprinttype = {arXiv},
eprint = {1301.4313},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1301-4313.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1301-5045,
author = {Alin Bostan and
Shaoshi Chen and
Fr{\'{e}}d{\'{e}}ric Chyzak and
Ziming Li},
title = {Complexity of Creative Telescoping for Bivariate Rational Functions},
journal = {CoRR},
volume = {abs/1301.5045},
year = {2013},
url = {http://arxiv.org/abs/1301.5045},
eprinttype = {arXiv},
eprint = {1301.5045},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1301-5045.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1301-5046,
author = {Shaoshi Chen and
Ruyong Feng and
Guofeng Fu and
Ziming Li},
title = {On the Structure of Compatible Rational Functions},
journal = {CoRR},
volume = {abs/1301.5046},
year = {2013},
url = {http://arxiv.org/abs/1301.5046},
eprinttype = {arXiv},
eprint = {1301.5046},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1301-5046.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aaecc/Bez12,
author = {H. E. Bez},
title = {The invariant functions and invariant-image conditions of the rational
B{\'{e}}zier triangles},
journal = {Appl. Algebra Eng. Commun. Comput.},
volume = {23},
number = {3-4},
pages = {195--205},
year = {2012},
url = {https://doi.org/10.1007/s00200-012-0174-8},
doi = {10.1007/S00200-012-0174-8},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aaecc/Bez12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/ChenS12,
author = {Shaoshi Chen and
Michael F. Singer},
title = {Residues and telescopers for bivariate rational functions},
journal = {Adv. Appl. Math.},
volume = {49},
number = {2},
pages = {111--133},
year = {2012},
url = {https://doi.org/10.1016/j.aam.2012.04.003},
doi = {10.1016/J.AAM.2012.04.003},
timestamp = {Thu, 28 Nov 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/aam/ChenS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Sastre12,
author = {Jorge Sastre},
title = {Efficient mixed rational and polynomial approximation of matrix functions},
journal = {Appl. Math. Comput.},
volume = {218},
number = {24},
pages = {11938--11946},
year = {2012},
url = {https://doi.org/10.1016/j.amc.2012.05.064},
doi = {10.1016/J.AMC.2012.05.064},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Sastre12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/SchrijverAV12,
author = {Steven K. De Schrijver and
El Houssaine Aghezzaf and
Hendrik Vanmaele},
title = {Double precision rational approximation algorithm for the inverse
standard normal first order loss function},
journal = {Appl. Math. Comput.},
volume = {219},
number = {3},
pages = {1375--1382},
year = {2012},
url = {https://doi.org/10.1016/j.amc.2012.07.011},
doi = {10.1016/J.AMC.2012.07.011},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/SchrijverAV12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/SchrijverAV12a,
author = {Steven K. De Schrijver and
El Houssaine Aghezzaf and
Hendrik Vanmaele},
title = {Double precision rational approximation algorithms for the standard
normal first and second order loss functions},
journal = {Appl. Math. Comput.},
volume = {219},
number = {4},
pages = {2320--2330},
year = {2012},
url = {https://doi.org/10.1016/j.amc.2012.08.012},
doi = {10.1016/J.AMC.2012.08.012},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/SchrijverAV12a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/chb/BowmanWC12,
author = {Nicholas David Bowman and
David Keith Westerman and
Christopher James Claus},
title = {How demanding is social media: Understanding social media diets as
a function of perceived costs and benefits - {A} rational actor perspective},
journal = {Comput. Hum. Behav.},
volume = {28},
number = {6},
pages = {2298--2305},
year = {2012},
url = {https://doi.org/10.1016/j.chb.2012.06.037},
doi = {10.1016/J.CHB.2012.06.037},
timestamp = {Tue, 18 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/chb/BowmanWC12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ejcon/KoroguiFG12,
author = {Rubens H. Korogui and
Andr{\'{e}} R. Fioravanti and
Jos{\'{e}} Claudio Geromel},
title = {H {\(\infty\)} Control Design for Time-Delay Linear Systems: {A} Rational
Transfer Function-Based Approach},
journal = {Eur. J. Control},
volume = {18},
number = {5},
pages = {425--436},
year = {2012},
url = {https://doi.org/10.3166/ejc.18.425-436},
doi = {10.3166/EJC.18.425-436},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ejcon/KoroguiFG12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ejcon/MorarescuJ12,
author = {Irinel{-}Constantin Morarescu and
Marc Jungers},
title = {Discussion on: "H {\(\infty\)} Control Design for Time-Delay Linear
Systems: {A} Rational Transfer Function Based Approach"},
journal = {Eur. J. Control},
volume = {18},
number = {5},
pages = {437--438},
year = {2012},
url = {https://doi.org/10.1016/S0947-3580(12)70961-5},
doi = {10.1016/S0947-3580(12)70961-5},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ejcon/MorarescuJ12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fm/Schwarzweller12,
author = {Christoph Schwarzweller},
title = {Introduction to Rational Functions},
journal = {Formaliz. Math.},
volume = {20},
number = {2},
pages = {181--191},
year = {2012},
url = {https://doi.org/10.2478/v10037-012-0021-1},
doi = {10.2478/V10037-012-0021-1},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fm/Schwarzweller12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmmsc/Kumar12,
author = {Devendra Kumar},
title = {On the Rational Approximation of Analytic Functions Having Generalized
Types of Rate of Growth},
journal = {Int. J. Math. Math. Sci.},
volume = {2012},
pages = {908104:1--908104:10},
year = {2012},
url = {https://doi.org/10.1155/2012/908104},
doi = {10.1155/2012/908104},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijmmsc/Kumar12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/GepreelNA12,
author = {Khaled A. Gepreel and
Taher Abdehamed Nofal and
Ali A. Al{-}Thobaiti},
title = {The Modified Rational Jacobi Elliptic Functions Method for Nonlinear
Differential Difference Equations},
journal = {J. Appl. Math.},
volume = {2012},
pages = {427479:1--427479:30},
year = {2012},
url = {https://doi.org/10.1155/2012/427479},
doi = {10.1155/2012/427479},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jam/GepreelNA12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/KajaniVAM12,
author = {M. Tavassoli Kajani and
Saeed Vahdati and
Zulkifly Abbas and
Mohammad Maleki},
title = {Application of Rational Second Kind Chebyshev Functions for System
of Integrodifferential Equations on Semi-Infinite Intervals},
journal = {J. Appl. Math.},
volume = {2012},
pages = {803503:1--803503:11},
year = {2012},
url = {https://doi.org/10.1155/2012/803503},
doi = {10.1155/2012/803503},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jam/KajaniVAM12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/DeckersG12,
author = {Karl Deckers and
Jeffrey S. Geronimo},
title = {Baxter's difference systems and orthogonal rational functions},
journal = {J. Approx. Theory},
volume = {164},
number = {8},
pages = {1085--1096},
year = {2012},
url = {https://doi.org/10.1016/j.jat.2012.05.011},
doi = {10.1016/J.JAT.2012.05.011},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/DeckersG12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/DeckersL12,
author = {Karl Deckers and
Doron S. Lubinsky},
title = {How poles of orthogonal rational functions affect their Christoffel
functions},
journal = {J. Approx. Theory},
volume = {164},
number = {9},
pages = {1184--1199},
year = {2012},
url = {https://doi.org/10.1016/j.jat.2012.05.007},
doi = {10.1016/J.JAT.2012.05.007},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/DeckersL12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcc/TabookhtLGGSB12,
author = {Zahra Tabookht and
Xavier L{\'{o}}pez and
Coen de Graaf and
Nathalie Guih{\'{e}}ry and
Nicolas Suaud and
Nadia Benamor},
title = {Rationalization of the behavior of {M2(CH3CS2)4I} {(M} = Ni, Pt) chains
at room temperature from periodic density functional theory and ab
initio cluster calculations},
journal = {J. Comput. Chem.},
volume = {33},
number = {21},
pages = {1748--1761},
year = {2012},
url = {https://doi.org/10.1002/jcc.23009},
doi = {10.1002/JCC.23009},
timestamp = {Wed, 01 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcc/TabookhtLGGSB12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoydX12,
author = {John P. Boyd and
Zhengjie Xu},
title = {Numerical and perturbative computations of solitary waves of the Benjamin-Ono
equation with higher order nonlinearity using Christov rational basis
functions},
journal = {J. Comput. Phys.},
volume = {231},
number = {4},
pages = {1216--1229},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2011.10.004},
doi = {10.1016/J.JCP.2011.10.004},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BoydX12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/KaltofenLYZ12,
author = {Erich L. Kaltofen and
Bin Li and
Zhengfeng Yang and
Lihong Zhi},
title = {Exact certification in global polynomial optimization via sums-of-squares
of rational functions with rational coefficients},
journal = {J. Symb. Comput.},
volume = {47},
number = {1},
pages = {1--15},
year = {2012},
url = {https://doi.org/10.1016/j.jsc.2011.08.002},
doi = {10.1016/J.JSC.2011.08.002},
timestamp = {Mon, 03 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsc/KaltofenLYZ12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/lmsjcm/BruinM12,
author = {Nils Bruin and
Alexander Molnar},
title = {Minimal models for rational functions in a dynamical setting},
journal = {{LMS} J. Comput. Math.},
volume = {15},
pages = {400--417},
year = {2012},
url = {https://doi.org/10.1112/s1461157012001131},
doi = {10.1112/S1461157012001131},
timestamp = {Thu, 21 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/lmsjcm/BruinM12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mssp/Kaliuzhnyi-Verbovetskyi12,
author = {Dmitry S. Kaliuzhnyi{-}Verbovetskyi and
Victor Vinnikov},
title = {Noncommutative rational functions, their difference-differential calculus
and realizations},
journal = {Multidimens. Syst. Signal Process.},
volume = {23},
number = {1-2},
pages = {49--77},
year = {2012},
url = {https://doi.org/10.1007/s11045-010-0122-3},
doi = {10.1007/S11045-010-0122-3},
timestamp = {Fri, 03 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mssp/Kaliuzhnyi-Verbovetskyi12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BeckermannG12,
author = {Bernhard Beckermann and
Stefan G{\"{u}}ttel},
title = {Superlinear convergence of the rational Arnoldi method for the approximation
of matrix functions},
journal = {Numerische Mathematik},
volume = {121},
number = {2},
pages = {205--236},
year = {2012},
url = {https://doi.org/10.1007/s00211-011-0434-8},
doi = {10.1007/S00211-011-0434-8},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/BeckermannG12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ol/BlancoP12,
author = {V{\'{\i}}ctor Blanco and
Justo Puerto},
title = {A new complexity result on multiobjective linear integer programming
using short rational generating functions},
journal = {Optim. Lett.},
volume = {6},
number = {3},
pages = {537--543},
year = {2012},
url = {https://doi.org/10.1007/s11590-011-0279-1},
doi = {10.1007/S11590-011-0279-1},
timestamp = {Fri, 03 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ol/BlancoP12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/rc/NarkawiczGSM12,
author = {Anthony Narkawicz and
J{\"{u}}rgen Garloff and
Andrew P. Smith and
C{\'{e}}sar A. Mu{\~{n}}oz},
title = {Bounding the Range of a Rational Function over a box},
journal = {Reliab. Comput.},
volume = {17},
pages = {34--39},
year = {2012},
url = {http://interval.louisiana.edu/reliable-computing-journal/volume-17/reliable-computing-17-pp-34-39.pdf},
timestamp = {Thu, 16 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/rc/NarkawiczGSM12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamnum/GuttelK12,
author = {Stefan G{\"{u}}ttel and
Georges Klein},
title = {Convergence of Linear Barycentric Rational Interpolation for Analytic
Functions},
journal = {{SIAM} J. Numer. Anal.},
volume = {50},
number = {5},
pages = {2560--2580},
year = {2012},
url = {https://doi.org/10.1137/120864787},
doi = {10.1137/120864787},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/GuttelK12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/te/MoreiraB12,
author = {Marcos Vicente Moreira and
Jo{\~{a}}o Carlos Basilio},
title = {Fair and Square Computation of Inverse {\textdollar} \{{\textbackslash}cal
Z\}{\textdollar}-Transforms of Rational Functions},
journal = {{IEEE} Trans. Educ.},
volume = {55},
number = {2},
pages = {285--290},
year = {2012},
url = {https://doi.org/10.1109/TE.2011.2171185},
doi = {10.1109/TE.2011.2171185},
timestamp = {Fri, 09 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/te/MoreiraB12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tgrs/ZhangLWH12,
author = {Yongjun Zhang and
Yihui Lu and
Lei Wang and
Xu Huang},
title = {A New Approach on Optimization of the Rational Function Model of High-Resolution
Satellite Imagery},
journal = {{IEEE} Trans. Geosci. Remote. Sens.},
volume = {50},
number = {7},
pages = {2758--2764},
year = {2012},
url = {https://doi.org/10.1109/TGRS.2011.2174797},
doi = {10.1109/TGRS.2011.2174797},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tgrs/ZhangLWH12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/Chesi12,
author = {Graziano Chesi},
title = {On the estimation and control of the domain of attraction through
rational Lyapunov functions},
booktitle = {American Control Conference, {ACC} 2012, Montreal, QC, Canada, June
27-29, 2012},
pages = {3322--3327},
publisher = {{IEEE}},
year = {2012},
url = {https://doi.org/10.1109/ACC.2012.6314658},
doi = {10.1109/ACC.2012.6314658},
timestamp = {Sun, 08 Aug 2021 01:40:54 +0200},
biburl = {https://dblp.org/rec/conf/amcc/Chesi12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dlt/BoiretLN12,
author = {Adrien Boiret and
Aur{\'{e}}lien Lemay and
Joachim Niehren},
editor = {Hsu{-}Chun Yen and
Oscar H. Ibarra},
title = {Learning Rational Functions},
booktitle = {Developments in Language Theory - 16th International Conference, {DLT}
2012, Taipei, Taiwan, August 14-17, 2012. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {7410},
pages = {273--283},
publisher = {Springer},
year = {2012},
url = {https://doi.org/10.1007/978-3-642-31653-1\_25},
doi = {10.1007/978-3-642-31653-1\_25},
timestamp = {Tue, 14 May 2019 10:00:40 +0200},
biburl = {https://dblp.org/rec/conf/dlt/BoiretLN12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fskd/ZhouJL12,
author = {Qing Zhou and
Weili Jiao and
Tengfei Long},
title = {Solution to the rational function model based on the Levenberg-Marquardt
algorithm},
booktitle = {9th International Conference on Fuzzy Systems and Knowledge Discovery,
{FSKD} 2012, 29-31 May 2012, Chongqing, China},
pages = {2795--2799},
publisher = {{IEEE}},
year = {2012},
url = {https://doi.org/10.1109/FSKD.2012.6234281},
doi = {10.1109/FSKD.2012.6234281},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/fskd/ZhouJL12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/ChenKS12,
author = {Shaoshi Chen and
Manuel Kauers and
Michael F. Singer},
editor = {Joris van der Hoeven and
Mark van Hoeij},
title = {Telescopers for rational and algebraic functions via residues},
booktitle = {International Symposium on Symbolic and Algebraic Computation, ISSAC'12,
Grenoble, France - July 22 - 25, 2012},
pages = {130--137},
publisher = {{ACM}},
year = {2012},
url = {https://doi.org/10.1145/2442829.2442851},
doi = {10.1145/2442829.2442851},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/ChenKS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lata/HundeshagenO12,
author = {Norbert Hundeshagen and
Friedrich Otto},
editor = {Adrian{-}Horia Dediu and
Carlos Mart{\'{\i}}n{-}Vide},
title = {Characterizing the Rational Functions by Restarting Transducers},
booktitle = {Language and Automata Theory and Applications - 6th International
Conference, {LATA} 2012, {A} Coru{\~{n}}a, Spain, March 5-9, 2012.
Proceedings},
series = {Lecture Notes in Computer Science},
volume = {7183},
pages = {325--336},
publisher = {Springer},
year = {2012},
url = {https://doi.org/10.1007/978-3-642-28332-1\_28},
doi = {10.1007/978-3-642-28332-1\_28},
timestamp = {Sun, 02 Oct 2022 16:11:11 +0200},
biburl = {https://dblp.org/rec/conf/lata/HundeshagenO12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/memea/LocsiK12,
author = {Levente L{\'{o}}csi and
Peter Kovacs},
title = {Processing {ECG} signals using rational function systems},
booktitle = {{IEEE} International Symposium on Medical Measurements and Applications,
MeMeA 2012, Budapest, Hungary, May 18-19, 2012, Proceedings},
pages = {1--5},
publisher = {{IEEE}},
year = {2012},
url = {https://doi.org/10.1109/MeMeA.2012.6226656},
doi = {10.1109/MEMEA.2012.6226656},
timestamp = {Wed, 16 Oct 2019 14:14:54 +0200},
biburl = {https://dblp.org/rec/conf/memea/LocsiK12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1201-1954,
author = {Shaoshi Chen and
Manuel Kauers and
Michael F. Singer},
title = {Telescopers for Rational and Algebraic Functions via Residues},
journal = {CoRR},
volume = {abs/1201.1954},
year = {2012},
url = {http://arxiv.org/abs/1201.1954},
eprinttype = {arXiv},
eprint = {1201.1954},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1201-1954.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1203-4200,
author = {Shaoshi Chen and
Michael F. Singer},
title = {Residues and Telescopers for Rational Functions},
journal = {CoRR},
volume = {abs/1203.4200},
year = {2012},
url = {http://arxiv.org/abs/1203.4200},
eprinttype = {arXiv},
eprint = {1203.4200},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1203-4200.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1210-6366,
author = {Shaoshi Chen and
Michael F. Singer},
title = {On the Summability of Bivariate Rational Functions},
journal = {CoRR},
volume = {abs/1210.6366},
year = {2012},
url = {http://arxiv.org/abs/1210.6366},
eprinttype = {arXiv},
eprint = {1210.6366},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1210-6366.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1211-0020,
author = {Kevin Woods},
title = {Presburger arithmetic, rational generating functions, and quasi-polynomials},
journal = {CoRR},
volume = {abs/1211.0020},
year = {2012},
url = {http://arxiv.org/abs/1211.0020},
eprinttype = {arXiv},
eprint = {1211.0020},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1211-0020.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1212-5097,
author = {Deepak Ponvel Chermakani},
title = {NP-Hardness of optimizing the sum of Rational Linear Functions over
an Asymptotic-Linear-Program},
journal = {CoRR},
volume = {abs/1212.5097},
year = {2012},
url = {http://arxiv.org/abs/1212.5097},
eprinttype = {arXiv},
eprint = {1212.5097},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1212-5097.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Atakut11,
author = {{\c{C}}igdem Atakut},
title = {On derivatives of Bernstein type rational functions of two variables},
journal = {Appl. Math. Comput.},
volume = {218},
number = {3},
pages = {673--677},
year = {2011},
url = {https://doi.org/10.1016/j.amc.2011.03.091},
doi = {10.1016/J.AMC.2011.03.091},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Atakut11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HuangW11,
author = {Wei{-}Xian Huang and
Guo{-}Jin Wang},
title = {A weighted bivariate blending rational interpolation based on function
values},
journal = {Appl. Math. Comput.},
volume = {217},
number = {9},
pages = {4644--4653},
year = {2011},
url = {https://doi.org/10.1016/j.amc.2010.11.016},
doi = {10.1016/J.AMC.2010.11.016},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/HuangW11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/YangL11,
author = {Li{-}Ying Yang and
Guan{-}Ting Liu},
title = {Quasi-rational function solutions of an elliptic equation and its
application to solve some nonlinear evolution equations},
journal = {Appl. Math. Comput.},
volume = {217},
number = {18},
pages = {7377--7384},
year = {2011},
url = {https://doi.org/10.1016/j.amc.2011.01.009},
doi = {10.1016/J.AMC.2011.01.009},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/YangL11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cominfsys/Bitmead11,
author = {Robert R. Bitmead},
title = {Finding real rational weighting functions for robust control analysis
and design; connections to boundary interpolation and circuit synthesis},
journal = {Commun. Inf. Syst.},
volume = {11},
number = {2},
pages = {153--172},
year = {2011},
url = {https://doi.org/10.4310/cis.2011.v11.n2.a4},
doi = {10.4310/CIS.2011.V11.N2.A4},
timestamp = {Wed, 16 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cominfsys/Bitmead11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/TsaiZ11,
author = {Mu{-}Tsun Tsai and
Alexandru Zaharescu},
title = {On the action of permutations on distances between values of rational
functions mod p},
journal = {Finite Fields Their Appl.},
volume = {17},
number = {5},
pages = {481--487},
year = {2011},
url = {https://doi.org/10.1016/j.ffa.2011.02.011},
doi = {10.1016/J.FFA.2011.02.011},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/TsaiZ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/WuWH11,
author = {Caiping Wu and
Xuzhu Wang and
Yonghua Hao},
title = {A further study on rationality conditions of fuzzy choice functions},
journal = {Fuzzy Sets Syst.},
volume = {176},
number = {1},
pages = {1--19},
year = {2011},
url = {https://doi.org/10.1016/j.fss.2011.04.008},
doi = {10.1016/J.FSS.2011.04.008},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/fss/WuWH11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ior/KoppeRQ11,
author = {Matthias K{\"{o}}ppe and
Christopher Thomas Ryan and
Maurice Queyranne},
title = {Rational Generating Functions and Integer Programming Games},
journal = {Oper. Res.},
volume = {59},
number = {6},
pages = {1445--1460},
year = {2011},
url = {https://doi.org/10.1287/opre.1110.0964},
doi = {10.1287/OPRE.1110.0964},
timestamp = {Tue, 31 Mar 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ior/KoppeRQ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/DeckersCMV11,
author = {Karl Deckers and
Mar{\'{\i}}a Jos{\'{e}} Cantero and
Leandro Moral and
Luis Vel{\'{a}}zquez},
title = {An extension of the associated rational functions on the unit circle},
journal = {J. Approx. Theory},
volume = {163},
number = {4},
pages = {524--546},
year = {2011},
url = {https://doi.org/10.1016/j.jat.2011.01.002},
doi = {10.1016/J.JAT.2011.01.002},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/DeckersCMV11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Lasarow11,
author = {Andreas Lasarow},
title = {More on a class of extremal solutions of a moment problem for rational
matrix-valued functions in the nondegenerate case},
journal = {J. Approx. Theory},
volume = {163},
number = {7},
pages = {864--887},
year = {2011},
url = {https://doi.org/10.1016/j.jat.2010.07.008},
doi = {10.1016/J.JAT.2010.07.008},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Lasarow11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Ali11a,
author = {Ahmad T. Ali},
title = {New generalized Jacobi elliptic function rational expansion method},
journal = {J. Comput. Appl. Math.},
volume = {235},
number = {14},
pages = {4117--4127},
year = {2011},
url = {https://doi.org/10.1016/j.cam.2011.03.002},
doi = {10.1016/J.CAM.2011.03.002},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Ali11a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/GeumK11,
author = {Young Hee Geum and
Young Ik Kim},
title = {A biparametric family of optimally convergent sixteenth-order multipoint
methods with their fourth-step weighting function as a sum of a rational
and a generic two-variable function},
journal = {J. Comput. Appl. Math.},
volume = {235},
number = {10},
pages = {3178--3188},
year = {2011},
url = {https://doi.org/10.1016/j.cam.2011.01.003},
doi = {10.1016/J.CAM.2011.01.003},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/GeumK11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/WangW11,
author = {Tengyao Wang and
Joshua M. Weiss},
title = {Nevanlinna-Pick interpolation by rational functions with a single
pole inside the unit disk},
journal = {J. Comput. Appl. Math.},
volume = {236},
number = {6},
pages = {1497--1501},
year = {2011},
url = {https://doi.org/10.1016/j.cam.2011.09.012},
doi = {10.1016/J.CAM.2011.09.012},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/WangW11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jnma/HussainB11,
author = {M. Z. Hussain and
S. Bashir},
title = {Shape preserving surface data visualization using rational bi-cubic
functions},
journal = {J. Num. Math.},
volume = {19},
number = {4},
pages = {267--308},
year = {2011},
url = {https://doi.org/10.1515/jnma.2011.013},
doi = {10.1515/JNMA.2011.013},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jnma/HussainB11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/Sekigawa11,
author = {Hiroshi Sekigawa},
title = {Computing the nearest polynomial with a zero in a given domain by
using piecewise rational functions},
journal = {J. Symb. Comput.},
volume = {46},
number = {12},
pages = {1318--1335},
year = {2011},
url = {https://doi.org/10.1016/j.jsc.2011.08.012},
doi = {10.1016/J.JSC.2011.08.012},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsc/Sekigawa11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/NarayanH11,
author = {Akil Narayan and
Jan S. Hesthaven},
title = {A generalization of the Wiener rational basis functions on infinite
intervals: Part I-derivation and properties},
journal = {Math. Comput.},
volume = {80},
number = {275},
pages = {1557--1583},
year = {2011},
url = {https://doi.org/10.1090/S0025-5718-2010-02437-8},
doi = {10.1090/S0025-5718-2010-02437-8},
timestamp = {Mon, 22 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/NarayanH11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/SidjeS11,
author = {Roger B. Sidje and
Yousef Saad},
title = {Rational approximation to the Fermi-Dirac function with applications
in density functional theory},
journal = {Numer. Algorithms},
volume = {56},
number = {3},
pages = {455--479},
year = {2011},
url = {https://doi.org/10.1007/s11075-010-9397-6},
doi = {10.1007/S11075-010-9397-6},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/SidjeS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/DeckersBD11,
author = {Karl Deckers and
Adhemar Bultheel and
Joris Van Deun},
title = {A generalized eigenvalue problem for quasi-orthogonal rational functions},
journal = {Numerische Mathematik},
volume = {117},
number = {3},
pages = {463--506},
year = {2011},
url = {https://doi.org/10.1007/s00211-010-0356-x},
doi = {10.1007/S00211-010-0356-X},
timestamp = {Thu, 08 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/DeckersBD11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pcs/Polyakov11,
author = {S. P. Polyakov},
title = {Indefinite summation of rational functions with factorization of denominators},
journal = {Program. Comput. Softw.},
volume = {37},
number = {6},
pages = {322--325},
year = {2011},
url = {https://doi.org/10.1134/S0361768811060077},
doi = {10.1134/S0361768811060077},
timestamp = {Sun, 06 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pcs/Polyakov11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scl/AlpayL11,
author = {Daniel Alpay and
Izchak Lewkowicz},
title = {The positive real lemma and construction of all realizations of generalized
positive rational functions},
journal = {Syst. Control. Lett.},
volume = {60},
number = {12},
pages = {985--993},
year = {2011},
url = {https://doi.org/10.1016/j.sysconle.2011.08.008},
doi = {10.1016/J.SYSCONLE.2011.08.008},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/scl/AlpayL11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/Pulford11,
author = {Graham W. Pulford},
title = {The Two-Dimensional Power Spectral Density: {A} Connection Between
2-D Rational Functions and Linear Systems},
journal = {{IEEE} Trans. Autom. Control.},
volume = {56},
number = {7},
pages = {1729--1734},
year = {2011},
url = {https://doi.org/10.1109/TAC.2011.2135170},
doi = {10.1109/TAC.2011.2135170},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/Pulford11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tbe/Recio-SpinosoFR11,
author = {Alberto Recio{-}Spinoso and
Yun{-}Hui Fan and
Mario A. Ruggero},
title = {Basilar-Membrane Responses to Broadband Noise Modeled Using Linear
Filters With Rational Transfer Functions},
journal = {{IEEE} Trans. Biomed. Eng.},
volume = {58},
number = {5},
pages = {1456--1465},
year = {2011},
url = {https://doi.org/10.1109/TBME.2010.2052254},
doi = {10.1109/TBME.2010.2052254},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tbe/Recio-SpinosoFR11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcas/Tavakoli-KakhkiHT11,
author = {Mahsan Tavakoli{-}Kakhki and
Mohammad Haeri and
Mohammad Saleh Tavazoei},
title = {Notes on the State Space Realizations of Rational Order Transfer Functions},
journal = {{IEEE} Trans. Circuits Syst. {I} Regul. Pap.},
volume = {58-I},
number = {5},
pages = {1099--1108},
year = {2011},
url = {https://doi.org/10.1109/TCSI.2010.2090568},
doi = {10.1109/TCSI.2010.2090568},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcas/Tavakoli-KakhkiHT11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/CuytL11,
author = {Annie A. M. Cuyt and
Wen{-}shin Lee},
title = {Sparse interpolation of multivariate rational functions},
journal = {Theor. Comput. Sci.},
volume = {412},
number = {16},
pages = {1445--1456},
year = {2011},
url = {https://doi.org/10.1016/j.tcs.2010.11.050},
doi = {10.1016/J.TCS.2010.11.050},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/CuytL11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/KoroguiFG11,
author = {Rubens H. Korogui and
Andr{\'{e}} R. Fioravanti and
Jos{\'{e}} Claudio Geromel},
title = {On a Rational Transfer Function-Based Approach to \emph{H}\({}_{\mbox{infty}}\)
Filtering Design for Time-Delay Linear Systems},
journal = {{IEEE} Trans. Signal Process.},
volume = {59},
number = {3},
pages = {979--988},
year = {2011},
url = {https://doi.org/10.1109/TSP.2010.2090877},
doi = {10.1109/TSP.2010.2090877},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tsp/KoroguiFG11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/IEEEcgiv/HussainSAI11,
author = {Malik Zawwar Hussain and
Muhammad Sarfraz and
Madiha Amjad and
Misbah Irshad},
editor = {Ebad Banissi and
Muhammad Sarfraz},
title = {Rational Bi-cubic Functions Preserving 3D Positive Data},
booktitle = {Eighth International Conference on Computer Graphics, Imaging and
Visualization, {CGIV} 2011, Singapore, August 17-19, 2011},
pages = {47--52},
publisher = {{IEEE} Computer Society},
year = {2011},
url = {https://doi.org/10.1109/CGIV.2011.15},
doi = {10.1109/CGIV.2011.15},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/IEEEcgiv/HussainSAI11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aici/Zhang11a,
author = {Daiyuan Zhang},
editor = {Hepu Deng and
Duoqian Miao and
Jingsheng Lei and
Fu Lee Wang},
title = {Training Neural Networks by Rational Weight Functions},
booktitle = {Artificial Intelligence and Computational Intelligence - Third International
Conference, {AICI} 2011, Taiyuan, China, September 24-25, 2011, Proceedings,
Part {III}},
series = {Lecture Notes in Computer Science},
volume = {7004},
pages = {346--353},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-23896-3\_42},
doi = {10.1007/978-3-642-23896-3\_42},
timestamp = {Tue, 14 May 2019 10:00:36 +0200},
biburl = {https://dblp.org/rec/conf/aici/Zhang11a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/caise/BucklMS11,
author = {Sabine Buckl and
Florian Matthes and
Christian M. Schweda},
editor = {Camille Salinesi and
Oscar Pastor},
title = {Socio-technic Dependency and Rationale Models for the Enterprise Architecture
Management Function},
booktitle = {Advanced Information Systems Engineering Workshops - CAiSE 2011 International
Workshops, London, UK, June 20-24, 2011. Proceedings},
series = {Lecture Notes in Business Information Processing},
volume = {83},
pages = {528--540},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-22056-2\_54},
doi = {10.1007/978-3-642-22056-2\_54},
timestamp = {Mon, 18 Jan 2021 08:56:37 +0100},
biburl = {https://dblp.org/rec/conf/caise/BucklMS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/KoroguiFG11,
author = {Rubens H. Korogui and
Andr{\'{e}} R. Fioravanti and
Jos{\'{e}} Claudio Geromel},
title = {{\(\mathscr{H}\)}{\(\infty\)} control design for time-delay linear
systems: {A} rational transfer function based approach},
booktitle = {50th {IEEE} Conference on Decision and Control and European Control
Conference, 11th European Control Conference, {CDC/ECC} 2011, Orlando,
FL, USA, December 12-15, 2011},
pages = {1866--1871},
publisher = {{IEEE}},
year = {2011},
url = {https://doi.org/10.1109/CDC.2011.6160398},
doi = {10.1109/CDC.2011.6160398},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/KoroguiFG11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ecmr/FeraudCAC11,
author = {Thomas F{\'{e}}raud and
Roland Chapuis and
Romuald Aufr{\`{e}}re and
Paul Checchin},
editor = {Achim J. Lilienthal},
title = {Kalman Filter Correction with Rational Non-linear Functions: Application
to Visual-SLAM},
booktitle = {Proceedings of the 5\({}^{\mbox{th}}\) European Conference on Mobile
Robots, {ECMR} 2011, September 7-9, 2011, {\"{O}}rebro, Sweden},
pages = {232--238},
publisher = {Learning Systems Lab, AASS, {\"{O}}rebro University},
year = {2011},
url = {http://aass.oru.se/Agora/ECMR2011/proceedings/papers/ECMR2011\_0007.pdf},
timestamp = {Thu, 12 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/ecmr/FeraudCAC11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eurocast/FridliLS11,
author = {S{\'{a}}ndor Fridli and
Levente L{\'{o}}csi and
Ferenc Schipp},
editor = {Roberto Moreno{-}D{\'{\i}}az and
Franz Pichler and
Alexis Quesada{-}Arencibia},
title = {Rational Function Systems in {ECG} Processing},
booktitle = {Computer Aided Systems Theory - {EUROCAST} 2011 - 13th International
Conference, Las Palmas de Gran Canaria, Spain, February 6-11, 2011,
Revised Selected Papers, Part {I}},
series = {Lecture Notes in Computer Science},
volume = {6927},
pages = {88--95},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-27549-4\_12},
doi = {10.1007/978-3-642-27549-4\_12},
timestamp = {Wed, 07 Dec 2022 23:13:53 +0100},
biburl = {https://dblp.org/rec/conf/eurocast/FridliLS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fusion/FeraudCAC11,
author = {Thomas F{\'{e}}raud and
Roland Chapuis and
Romuald Aufr{\`{e}}re and
Paul Checchin},
title = {Improving results of rational non-linear observation functions using
a Kalman filter correction},
booktitle = {Proceedings of the 14th International Conference on Information Fusion,
{FUSION} 2011, Chicago, Illinois, USA, July 5-8, 2011},
pages = {1--7},
publisher = {{IEEE}},
year = {2011},
url = {https://ieeexplore.ieee.org/document/5977531/},
timestamp = {Mon, 09 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/fusion/FeraudCAC11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icecsys/MoshfeKHH11,
author = {Sajjad Moshfe and
Abdollah Khoei and
Khayrollah Hadidi and
Pourya Hoseini},
title = {Design of a programmable analog {CMOS} rational-powered membership
function generator in current mode approach},
booktitle = {18th {IEEE} International Conference on Electronics, Circuits and
Systems, {ICECS} 2011, Beirut, Lebanon, December 11-14, 2011},
pages = {29--32},
publisher = {{IEEE}},
year = {2011},
url = {https://doi.org/10.1109/ICECS.2011.6122206},
doi = {10.1109/ICECS.2011.6122206},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icecsys/MoshfeKHH11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isda/MartinettiBDM11,
author = {Davide Martinetti and
Bernard De Baets and
Susana D{\'{\i}}az and
Susana Montes},
editor = {Sebasti{\'{a}}n Ventura and
Ajith Abraham and
Krzysztof J. Cios and
Crist{\'{o}}bal Romero and
Francesco Marcelloni and
Jos{\'{e}} Manuel Ben{\'{\i}}tez and
Eva Lucrecia Gibaja Galindo},
title = {On the role of acyclicity in the study of rationality of fuzzy choice
functions},
booktitle = {11th International Conference on Intelligent Systems Design and Applications,
{ISDA} 2011, C{\'{o}}rdoba, Spain, November 22-24, 2011},
pages = {350--355},
publisher = {{IEEE}},
year = {2011},
url = {https://doi.org/10.1109/ISDA.2011.6121680},
doi = {10.1109/ISDA.2011.6121680},
timestamp = {Tue, 23 Aug 2022 09:19:48 +0200},
biburl = {https://dblp.org/rec/conf/isda/MartinettiBDM11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/ChenFFL11,
author = {Shaoshi Chen and
Ruyong Feng and
Guofeng Fu and
Ziming Li},
editor = {{\'{E}}ric Schost and
Ioannis Z. Emiris},
title = {On the structure of compatible rational functions},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2011 (co-located with {FCRC} 2011), San Jose, CA, USA, June 7-11,
2011, Proceedings},
pages = {91--98},
publisher = {{ACM}},
year = {2011},
url = {https://doi.org/10.1145/1993886.1993905},
doi = {10.1145/1993886.1993905},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/ChenFFL11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/KaltofenN11,
author = {Erich L. Kaltofen and
Michael Nehring},
editor = {{\'{E}}ric Schost and
Ioannis Z. Emiris},
title = {Supersparse black box rational function interpolation},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2011 (co-located with {FCRC} 2011), San Jose, CA, USA, June 7-11,
2011, Proceedings},
pages = {177--186},
publisher = {{ACM}},
year = {2011},
url = {https://doi.org/10.1145/1993886.1993916},
doi = {10.1145/1993886.1993916},
timestamp = {Mon, 03 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/issac/KaltofenN11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1102-4954,
author = {Florian Bugarin and
Didier Henrion and
Jean B. Lasserre},
title = {Minimizing the sum of many rational functions},
journal = {CoRR},
volume = {abs/1102.4954},
year = {2011},
url = {http://arxiv.org/abs/1102.4954},
eprinttype = {arXiv},
eprint = {1102.4954},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1102-4954.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1106-2407,
author = {V{\'{\i}}ctor Blanco and
Safae El{-}Haj Ben{-}Ali and
Justo Puerto},
title = {A Semidefinite Programming approach for minimizing ordered weighted
averages of rational functions},
journal = {CoRR},
volume = {abs/1106.2407},
year = {2011},
url = {http://arxiv.org/abs/1106.2407},
eprinttype = {arXiv},
eprint = {1106.2407},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1106-2407.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Xin10,
author = {Hua Xin},
title = {The exponential function rational expansion method and exact solutions
to nonlinear lattice equations system},
journal = {Appl. Math. Comput.},
volume = {217},
number = {4},
pages = {1561--1565},
year = {2010},
url = {https://doi.org/10.1016/j.amc.2009.06.056},
doi = {10.1016/J.AMC.2009.06.056},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Xin10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aml/Kremer10,
author = {Philip Kremer},
title = {The modal logic of continuous functions on the rational numbers},
journal = {Arch. Math. Log.},
volume = {49},
number = {4},
pages = {519--527},
year = {2010},
url = {https://doi.org/10.1007/s00153-010-0185-8},
doi = {10.1007/S00153-010-0185-8},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aml/Kremer10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/BostanCCL10,
author = {Alin Bostan and
Shaoshi Chen and
Fr{\'{e}}d{\'{e}}ric Chyzak and
Ziming Li},
title = {Rational-functions telescopers: blending creative telescoping with
hermite reduction},
journal = {{ACM} Commun. Comput. Algebra},
volume = {44},
number = {1/2},
pages = {9--10},
year = {2010},
url = {https://doi.org/10.1145/1838599.1838603},
doi = {10.1145/1838599.1838603},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/BostanCCL10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/ErocalS10,
author = {Bur{\c{c}}in Er{\"{o}}cal and
Arne Storjohann},
title = {Nullspace computation over rational function fields for symbolic summation},
journal = {{ACM} Commun. Comput. Algebra},
volume = {44},
number = {3/4},
pages = {109--110},
year = {2010},
url = {https://doi.org/10.1145/1940475.1940489},
doi = {10.1145/1940475.1940489},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/ErocalS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/DehghanE10,
author = {Mehdi Dehghan and
M. R. Eslahchi},
title = {Best uniform polynomial approximation of some rational functions},
journal = {Comput. Math. Appl.},
volume = {59},
number = {1},
pages = {382--390},
year = {2010},
url = {https://doi.org/10.1016/j.camwa.2009.07.016},
doi = {10.1016/J.CAMWA.2009.07.016},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/DehghanE10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/imm/DyerD10,
author = {Stephen A. Dyer and
Justin S. Dyer},
title = {Least-squares fitting of data by rational functions: Levy's method
(part 2) [Bythenumbers]},
journal = {{IEEE} Instrum. Meas. Mag.},
volume = {13},
number = {2},
pages = {38--42},
year = {2010},
url = {https://doi.org/10.1109/MIM.2010.5438337},
doi = {10.1109/MIM.2010.5438337},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/imm/DyerD10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/YuZZ10,
author = {Dansheng Yu and
Ping Zhou and
Songping Zhou},
title = {Pointwise and global estimate for approximation by rational functions
with prescribed numerator degree},
journal = {J. Approx. Theory},
volume = {162},
number = {7},
pages = {1347--1363},
year = {2010},
url = {https://doi.org/10.1016/j.jat.2010.02.003},
doi = {10.1016/J.JAT.2010.02.003},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jat/YuZZ10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/Cheze10,
author = {Guillaume Ch{\`{e}}ze},
title = {Nearly optimal algorithms for the decomposition of multivariate rational
functions and the extended L{\"{u}}roth Theorem},
journal = {J. Complex.},
volume = {26},
number = {4},
pages = {344--363},
year = {2010},
url = {https://doi.org/10.1016/j.jco.2010.05.001},
doi = {10.1016/J.JCO.2010.05.001},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jc/Cheze10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/BultheelGB10,
author = {Adhemar Bultheel and
Patrick Van Gucht and
Marc Van Barel},
title = {Orthogonal Rational Functions with real coefficients and semiseparable
matrices},
journal = {J. Comput. Appl. Math.},
volume = {233},
number = {5},
pages = {1192--1201},
year = {2010},
url = {https://doi.org/10.1016/j.cam.2008.11.016},
doi = {10.1016/J.CAM.2008.11.016},
timestamp = {Wed, 19 May 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/BultheelGB10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/BultheelL10,
author = {Adhemar Bultheel and
Andreas Lasarow},
title = {Schur-Nevanlinna-Potapov sequences of rational matrix functions},
journal = {J. Comput. Appl. Math.},
volume = {235},
number = {4},
pages = {927--949},
year = {2010},
url = {https://doi.org/10.1016/j.cam.2009.11.046},
doi = {10.1016/J.CAM.2009.11.046},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/BultheelL10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/FritzscheKL10,
author = {Bernd Fritzsche and
Bernd Kirstein and
Andreas Lasarow},
title = {On a class of extremal solutions of a moment problem for rational
matrix-valued functions in the nondegenerate case {II}},
journal = {J. Comput. Appl. Math.},
volume = {235},
number = {4},
pages = {1008--1041},
year = {2010},
url = {https://doi.org/10.1016/j.cam.2010.08.019},
doi = {10.1016/J.CAM.2010.08.019},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/FritzscheKL10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/Keller10,
author = {Nathan Keller},
title = {On the probability of a rational outcome for generalized social welfare
functions on three alternatives},
journal = {J. Comb. Theory, Ser. {A}},
volume = {117},
number = {4},
pages = {389--410},
year = {2010},
url = {https://doi.org/10.1016/j.jcta.2009.10.008},
doi = {10.1016/J.JCTA.2009.10.008},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jct/Keller10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mp/CorreaFW10,
author = {Jos{\'{e}} R. Correa and
Cristina G. Fernandes and
Yoshiko Wakabayashi},
title = {Approximating a class of combinatorial problems with rational objective
function},
journal = {Math. Program.},
volume = {124},
number = {1-2},
pages = {255--269},
year = {2010},
url = {https://doi.org/10.1007/s10107-010-0364-8},
doi = {10.1007/S10107-010-0364-8},
timestamp = {Mon, 29 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mp/CorreaFW10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/MannaMMS10,
author = {Dante V. Manna and
Luis A. Medina and
Victor H. Moll and
Armin Straub},
title = {A fast numerical algorithm for the integration of rational functions},
journal = {Numerische Mathematik},
volume = {115},
number = {2},
pages = {289--307},
year = {2010},
url = {https://doi.org/10.1007/s00211-009-0284-9},
doi = {10.1007/S00211-009-0284-9},
timestamp = {Thu, 08 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/MannaMMS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scl/AlpayL10,
author = {Daniel Alpay and
Izchak Lewkowicz},
title = {An easy-to-compute factorization of rational generalized positive
functions},
journal = {Syst. Control. Lett.},
volume = {59},
number = {9},
pages = {517--521},
year = {2010},
url = {https://doi.org/10.1016/j.sysconle.2010.06.001},
doi = {10.1016/J.SYSCONLE.2010.06.001},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/scl/AlpayL10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/WuW10,
author = {Gang Wu and
Yiming Wei},
title = {On Analysis of Projection Methods for Rational Function Approximation
to the Matrix Exponential},
journal = {{SIAM} J. Numer. Anal.},
volume = {48},
number = {1},
pages = {191--197},
year = {2010},
url = {https://doi.org/10.1137/090758660},
doi = {10.1137/090758660},
timestamp = {Mon, 16 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/WuW10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/Akcay10,
author = {H{\"{u}}seyin Ak{\c{c}}ay},
title = {Subspace-based rational interpolation of analytic functions from phase
data},
journal = {{IEEE} Trans. Signal Process.},
volume = {58},
number = {3},
pages = {1069--1081},
year = {2010},
url = {https://doi.org/10.1109/TSP.2009.2033326},
doi = {10.1109/TSP.2009.2033326},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tsp/Akcay10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acfie/WangG10,
author = {Shihui Wang and
Sizong Guo},
editor = {Bing{-}yuan Cao and
Guo{-}Jun Wang and
Si{-}zong Guo and
Shui{-}Li Chen},
title = {Discussion on Natural Fuzzy Extension and Joint Fuzzy Extension of
the Rational Function},
booktitle = {Fuzzy Information and Engineering 2010 - Volume I, Proceedings of
the 5th Annual Conference on Fuzzy Information and Engineering, {ACFIE}
2010, Sepember 23-27, 2010, Huludao, China},
series = {Advances in Intelligent and Soft Computing},
volume = {78},
pages = {65--74},
year = {2010},
url = {https://doi.org/10.1007/978-3-642-14880-4\_8},
doi = {10.1007/978-3-642-14880-4\_8},
timestamp = {Mon, 02 Mar 2020 17:19:02 +0100},
biburl = {https://dblp.org/rec/conf/acfie/WangG10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/NeunSV10,
author = {Winfried Neun and
Thomas Sturm and
Stefan Vigerske},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Ernst W. Mayr and
Evgenii V. Vorozhtsov},
title = {Supporting Global Numerical Optimization of Rational Functions by
Generic Symbolic Convexity Tests},
booktitle = {Computer Algebra in Scientific Computing - 12th International Workshop,
{CASC} 2010, Tsakhkadzor, Armenia, September 6-12, 2010. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {6244},
pages = {205--219},
publisher = {Springer},
year = {2010},
url = {https://doi.org/10.1007/978-3-642-15274-0\_19},
doi = {10.1007/978-3-642-15274-0\_19},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/casc/NeunSV10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icetet/PrasadK10,
author = {Bhagwati Prasad and
Kuldip Katiyar},
title = {Exploring Rational Bezier Curves through Iterated Function Systems},
booktitle = {3rd International Conference on Emerging Trends in Engineering and
Technology, {ICETET} 2010, Goa, India, November 19-21, 2010},
pages = {267--270},
publisher = {{IEEE} Computer Society},
year = {2010},
url = {https://doi.org/10.1109/ICETET.2010.73},
doi = {10.1109/ICETET.2010.73},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icetet/PrasadK10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/BostanCCL10,
author = {Alin Bostan and
Shaoshi Chen and
Fr{\'{e}}d{\'{e}}ric Chyzak and
Ziming Li},
editor = {Wolfram Koepf},
title = {Complexity of creative telescoping for bivariate rational functions},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2010, Munich, Germany, July 25-28, 2010, Proceedings},
pages = {203--210},
publisher = {{ACM}},
year = {2010},
url = {https://doi.org/10.1145/1837934.1837975},
doi = {10.1145/1837934.1837975},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/BostanCCL10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/HoeijY10,
author = {Mark van Hoeij and
Quan Yuan},
editor = {Wolfram Koepf},
title = {Finding all bessel type solutions for linear differential equations
with rational function coefficients},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2010, Munich, Germany, July 25-28, 2010, Proceedings},
pages = {37--44},
publisher = {{ACM}},
year = {2010},
url = {https://doi.org/10.1145/1837934.1837948},
doi = {10.1145/1837934.1837948},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/HoeijY10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/seke/ShewchukG10,
author = {Yuri Shewchuk and
Vahid Garousi},
title = {Experience with Maintenance of a Functional {GUI} Test Suite using
{IBM} Rational Functional Tester},
booktitle = {Proceedings of the 22nd International Conference on Software Engineering
{\&} Knowledge Engineering (SEKE'2010), Redwood City, San Francisco
Bay, CA, USA, July 1 - July 3, 2010},
pages = {489--494},
publisher = {Knowledge Systems Institute Graduate School},
year = {2010},
timestamp = {Thu, 12 Mar 2020 11:30:50 +0100},
biburl = {https://dblp.org/rec/conf/seke/ShewchukG10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wcnis/WeiZWY10,
author = {Pengcheng Wei and
Yingxian Zhu and
Ran Wei and
Xinbo Yang},
title = {Public-key cryptosystem based on permutation rational function},
booktitle = {Proceedings of the {IEEE} International Conference on Wireless Communications,
Networking and Information Security, {WCNIS} 2010, 25-27 June 2010,
Beijing, China},
pages = {452--454},
publisher = {{IEEE}},
year = {2010},
url = {https://doi.org/10.1109/WCINS.2010.5541819},
doi = {10.1109/WCINS.2010.5541819},
timestamp = {Wed, 16 Oct 2019 14:14:48 +0200},
biburl = {https://dblp.org/rec/conf/wcnis/WeiZWY10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1001-0415,
author = {Deepak Ponvel Chermakani},
title = {A new Rational Generating Function for the Frobenius Coin Problem},
journal = {CoRR},
volume = {abs/1001.0415},
year = {2010},
url = {http://arxiv.org/abs/1001.0415},
eprinttype = {arXiv},
eprint = {1001.0415},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1001-0415.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1003-3478,
author = {Viktor Levandovskyy and
Jorge Mart{\'{\i}}n{-}Morales},
title = {Algorithms for Checking Rational Roots of {\textdollar}b{\textdollar}-functions
and their Applications},
journal = {CoRR},
volume = {abs/1003.3478},
year = {2010},
url = {http://arxiv.org/abs/1003.3478},
eprinttype = {arXiv},
eprint = {1003.3478},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1003-3478.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1004-5285,
author = {Guillaume Ch{\`{e}}ze},
title = {Nearly Optimal Algorithms for the Decomposition of Multivariate Rational
Functions and the Extended L{\"{u}}roth's Theorem},
journal = {CoRR},
volume = {abs/1004.5285},
year = {2010},
url = {http://arxiv.org/abs/1004.5285},
eprinttype = {arXiv},
eprint = {1004.5285},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1004-5285.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1008-2337,
author = {K. Parand and
A. R. Rezaei and
A. Taghavi},
title = {Numerical approximations for population growth model by Rational Chebyshev
and Hermite Functions collocation approach: {A} comparison},
journal = {CoRR},
volume = {abs/1008.2337},
year = {2010},
url = {http://arxiv.org/abs/1008.2337},
eprinttype = {arXiv},
eprint = {1008.2337},
timestamp = {Fri, 19 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1008-2337.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1011-0972,
author = {Guillaume Ch{\`{e}}ze},
title = {A recombination algorithm for the decomposition of multivariate rational
functions},
journal = {CoRR},
volume = {abs/1011.0972},
year = {2010},
url = {http://arxiv.org/abs/1011.0972},
eprinttype = {arXiv},
eprint = {1011.0972},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1011-0972.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/daglib/0035145,
author = {Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {Orthogonal Rational Functions},
series = {Cambridge monographs on applied and computational mathematics},
publisher = {Cambridge University Press},
year = {2009},
url = {http://www.cambridge.org/cl/academic/subjects/mathematics/numerical-analysis/orthogonal-rational-functions},
isbn = {978-0-521-11591-9},
timestamp = {Fri, 10 Apr 2015 01:00:00 +0200},
biburl = {https://dblp.org/rec/books/daglib/0035145.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/us/Moon09,
author = {Se{-}jung Moon},
title = {Rational Function Interpolation of Electromagnetic Transfer Functions
of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain
Data},
school = {University of Illinois Urbana-Champaign, {USA}},
year = {2009},
url = {https://hdl.handle.net/2142/11978},
timestamp = {Fri, 13 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/phd/us/Moon09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/Cvijovic09a,
author = {Djurdje Cvijovic},
title = {Closed-form formulae for the derivatives of trigonometric functions
at rational multiples of pi},
journal = {Appl. Math. Lett.},
volume = {22},
number = {6},
pages = {906--909},
year = {2009},
url = {https://doi.org/10.1016/j.aml.2008.07.019},
doi = {10.1016/J.AML.2008.07.019},
timestamp = {Sat, 16 Sep 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/appml/Cvijovic09a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/SouzaOP09,
author = {Fernando de Oliveira Souza and
Maur{\'{\i}}cio C. de Oliveira and
Reinaldo M. Palhares},
title = {Stability independent of delay using rational functions},
journal = {Autom.},
volume = {45},
number = {9},
pages = {2128--2133},
year = {2009},
url = {https://doi.org/10.1016/j.automatica.2009.05.012},
doi = {10.1016/J.AUTOMATICA.2009.05.012},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/automatica/SouzaOP09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/CuytL09,
author = {Annie A. M. Cuyt and
Wen{-}shin Lee},
title = {Symbolic-numeric sparse interpolation of multivariate rational functions},
journal = {{ACM} Commun. Comput. Algebra},
volume = {43},
number = {3/4},
pages = {79--80},
year = {2009},
url = {https://doi.org/10.1145/1823931.1823938},
doi = {10.1145/1823931.1823938},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/CuytL09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/Georgescu09a,
author = {Irina Georgescu},
title = {Acyclic rationality indicators of fuzzy choice functions},
journal = {Fuzzy Sets Syst.},
volume = {160},
number = {18},
pages = {2673--2685},
year = {2009},
url = {https://doi.org/10.1016/j.fss.2009.01.014},
doi = {10.1016/J.FSS.2009.01.014},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fss/Georgescu09a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcon/ZhengW09,
author = {Qian Zheng and
Fen Wu},
title = {Regional stabilisation of polynomial non-linear systems using rational
Lyapunov functions},
journal = {Int. J. Control},
volume = {82},
number = {9},
pages = {1605--1615},
year = {2009},
url = {https://doi.org/10.1080/00207170802627267},
doi = {10.1080/00207170802627267},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcon/ZhengW09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/DeckersB09,
author = {Karl Deckers and
Adhemar Bultheel},
title = {Orthogonal rational functions and rational modifications of a measure
on the unit circle},
journal = {J. Approx. Theory},
volume = {157},
number = {1},
pages = {1--18},
year = {2009},
url = {https://doi.org/10.1016/j.jat.2008.04.017},
doi = {10.1016/J.JAT.2008.04.017},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/DeckersB09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/JakobssonAE09,
author = {Stefan Jakobsson and
Bj{\"{o}}rn Andersson and
Fredrik Edelvik},
title = {Rational radial basis function interpolation with applications to
antenna design},
journal = {J. Comput. Appl. Math.},
volume = {233},
number = {4},
pages = {889--904},
year = {2009},
url = {https://doi.org/10.1016/j.cam.2009.08.058},
doi = {10.1016/J.CAM.2009.08.058},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/JakobssonAE09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ParandT09,
author = {K. Parand and
A. Taghavi},
title = {Rational scaled generalized Laguerre function collocation method for
solving the Blasius equation},
journal = {J. Comput. Appl. Math.},
volume = {233},
number = {4},
pages = {980--989},
year = {2009},
url = {https://doi.org/10.1016/j.cam.2009.08.106},
doi = {10.1016/J.CAM.2009.08.106},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ParandT09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangC09,
author = {Dali Zhang and
Elena Cherkaev},
title = {Reconstruction of spectral function from effective permittivity of
a composite material using rational function approximations},
journal = {J. Comput. Phys.},
volume = {228},
number = {15},
pages = {5390--5409},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.04.014},
doi = {10.1016/J.JCP.2009.04.014},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangC09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/AignerJGS09,
author = {Martin Aigner and
Bert J{\"{u}}ttler and
Laureano Gonz{\'{a}}lez{-}Vega and
Josef Schicho},
title = {Parameterizing surfaces with certain special support functions, including
offsets of quadrics and rationally supported surfaces},
journal = {J. Symb. Comput.},
volume = {44},
number = {2},
pages = {180--191},
year = {2009},
url = {https://doi.org/10.1016/j.jsc.2008.08.001},
doi = {10.1016/J.JSC.2008.08.001},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/AignerJGS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/BultheelCDG09,
author = {Adhemar Bultheel and
Ruym{\'{a}}n Cruz{-}Barroso and
Karl Deckers and
Pablo Gonz{\'{a}}lez{-}Vera},
title = {Rational Szego quadratures associated with Chebyshev weight functions},
journal = {Math. Comput.},
volume = {78},
number = {266},
pages = {1031--1059},
year = {2009},
url = {https://doi.org/10.1090/S0025-5718-08-02208-4},
doi = {10.1090/S0025-5718-08-02208-4},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/BultheelCDG09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nla/Moret09,
author = {Igor Moret},
title = {Rational Lanczos approximations to the matrix square root and related
functions},
journal = {Numer. Linear Algebra Appl.},
volume = {16},
number = {6},
pages = {431--445},
year = {2009},
url = {https://doi.org/10.1002/nla.625},
doi = {10.1002/NLA.625},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nla/Moret09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/ShenWL09,
author = {Jie Shen and
Li{-}lian Wang and
Huiyuan Li},
title = {A Triangular Spectral Element Method Using Fully Tensorial Rational
Basis Functions},
journal = {{SIAM} J. Numer. Anal.},
volume = {47},
number = {3},
pages = {1619--1650},
year = {2009},
url = {https://doi.org/10.1137/070702023},
doi = {10.1137/070702023},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/ShenWL09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/spl/AkcayT09,
author = {H{\"{u}}seyin Ak{\c{c}}ay and
Semiha T{\"{u}}rkay},
title = {Rational Interpolation of Analytic Functions From Real or Imaginary
Parts of Frequency-Response Data: {A} Subspace-Based Approach},
journal = {{IEEE} Signal Process. Lett.},
volume = {16},
number = {5},
pages = {350--353},
year = {2009},
url = {https://doi.org/10.1109/LSP.2009.2016016},
doi = {10.1109/LSP.2009.2016016},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/spl/AkcayT09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tamm/Verde-Star09,
author = {Luis Verde{-}Star},
title = {Rational Functions},
journal = {Am. Math. Mon.},
volume = {116},
number = {9},
pages = {804--827},
year = {2009},
url = {http://www.jstor.org/stable/40391299},
timestamp = {Thu, 18 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tamm/Verde-Star09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tbe/SchneiderIC09,
author = {Martin Schneider and
D. Robert Iskander and
Michael J. Collins},
title = {Modeling Corneal Surfaces With Rational Functions for High-Speed Videokeratoscopy
Data Compression},
journal = {{IEEE} Trans. Biomed. Eng.},
volume = {56},
number = {2},
pages = {493--499},
year = {2009},
url = {https://doi.org/10.1109/TBME.2008.2006019},
doi = {10.1109/TBME.2008.2006019},
timestamp = {Wed, 02 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tbe/SchneiderIC09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/AkcayT09,
author = {H{\"{u}}seyin Ak{\c{c}}ay and
Semiha T{\"{u}}rkay},
title = {Subspace-based rational interpolation of analytic functions from real
or imaginary parts of frequency-response data},
booktitle = {Proceedings of the 48th {IEEE} Conference on Decision and Control,
{CDC} 2009, combined withe the 28th Chinese Control Conference, December
16-18, 2009, Shanghai, China},
pages = {3359--3363},
publisher = {{IEEE}},
year = {2009},
url = {https://doi.org/10.1109/CDC.2009.5400020},
doi = {10.1109/CDC.2009.5400020},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cdc/AkcayT09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/KoroguiFG09,
author = {Rubens H. Korogui and
Andr{\'{e}} R. Fioravanti and
Jos{\'{e}} Claudio Geromel},
title = {On a rational transfer function-based approach to H\({}_{\mbox{infinity}}\)
filter design for time-delay linear systems},
booktitle = {Proceedings of the 48th {IEEE} Conference on Decision and Control,
{CDC} 2009, combined withe the 28th Chinese Control Conference, December
16-18, 2009, Shanghai, China},
pages = {1854--1859},
publisher = {{IEEE}},
year = {2009},
url = {https://doi.org/10.1109/CDC.2009.5400836},
doi = {10.1109/CDC.2009.5400836},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/KoroguiFG09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eurocast/KarampetakisAVV09,
author = {Nicholas P. Karampetakis and
Efstathios N. Antoniou and
Antonis{-}Ioannis G. Vardulakis and
Stavros Vologiannidis},
editor = {Roberto Moreno{-}D{\'{\i}}az and
Franz Pichler and
Alexis Quesada{-}Arencibia},
title = {Symbolic Computations on Rings of Rational Functions and Applications
in Control Engineering},
booktitle = {Computer Aided Systems Theory - {EUROCAST} 2009, 12th International
Conference, Las Palmas de Gran Canaria, Spain, February 15-20, 2009,
Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {5717},
pages = {587--594},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-3-642-04772-5\_76},
doi = {10.1007/978-3-642-04772-5\_76},
timestamp = {Tue, 14 May 2019 10:00:54 +0200},
biburl = {https://dblp.org/rec/conf/eurocast/KarampetakisAVV09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/grapp/FougerolleTG09,
author = {Yohan D. Fougerolle and
Fr{\'{e}}d{\'{e}}ric Truchetet and
Johan Gielis},
editor = {Alpesh Ranchordas and
Jo{\~{a}}o Madeiras Pereira and
Paul Richard},
title = {A New Potential Function for Self Intersecting Gielis Curves with
Rational Symmetries},
booktitle = {{GRAPP} 2009 - Proceedings of the Fourth International Conference
on Computer Graphics Theory and Applications, Lisboa, Portugal, February
5-8, 2009},
pages = {90--95},
publisher = {{INSTICC} Press},
year = {2009},
timestamp = {Fri, 23 Jun 2017 07:33:22 +0200},
biburl = {https://dblp.org/rec/conf/grapp/FougerolleTG09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ima-ms/Bez09,
author = {Helmut E. Bez},
editor = {Edwin R. Hancock and
Ralph R. Martin and
Malcolm A. Sabin},
title = {The Invariant Functions of the Rational Bi-cubic B{\'{e}}zier
Surfaces},
booktitle = {Mathematics of Surfaces XIII, 13th {IMA} International Conference,
York, UK, September 7-9, 2009, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5654},
pages = {55--74},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-3-642-03596-8\_4},
doi = {10.1007/978-3-642-03596-8\_4},
timestamp = {Tue, 14 May 2019 10:00:49 +0200},
biburl = {https://dblp.org/rec/conf/ima-ms/Bez09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nds/Vinnikov09,
author = {Victor Vinnikov},
title = {Rational functions in noncommutating variables, their realizations,
and applications to Linear Matrix inequalities},
booktitle = {2009 International Workshop on Multidimensional (nD) Systems, nDS
2009, Aristotle University of Thessaloniki, Thessaloniki, Greece,
June 29 - July 1, 2009},
pages = {1--4},
publisher = {{IEEE}},
year = {2009},
url = {https://doi.org/10.1109/NDS.2009.5196046},
doi = {10.1109/NDS.2009.5196046},
timestamp = {Wed, 16 Oct 2019 14:14:57 +0200},
biburl = {https://dblp.org/rec/conf/nds/Vinnikov09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ppam/Skalna09,
author = {Iwona Skalna},
editor = {Roman Wyrzykowski and
Jack J. Dongarra and
Konrad Karczewski and
Jerzy Wasniewski},
title = {A Global Optimization Method for Solving Parametric Linear Systems
Whose Input Data Are Rational Functions of Interval Parameters},
booktitle = {Parallel Processing and Applied Mathematics, 8th International Conference,
{PPAM} 2009, Wroclaw, Poland, September 13-16, 2009, Revised Selected
Papers, Part {II}},
series = {Lecture Notes in Computer Science},
volume = {6068},
pages = {475--484},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-3-642-14403-5\_50},
doi = {10.1007/978-3-642-14403-5\_50},
timestamp = {Tue, 14 May 2019 10:00:45 +0200},
biburl = {https://dblp.org/rec/conf/ppam/Skalna09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/snc/KaltofenYZ09,
author = {Erich L. Kaltofen and
Zhengfeng Yang and
Lihong Zhi},
editor = {Hiroshi Kai and
Hiroshi Sekigawa and
Tateaki Sasaki and
Kiyoshi Shirayanagi and
Ilias S. Kotsireas},
title = {A proof of the monotone column permanent {(MCP)} conjecture for dimension
4 via sums-of-squares of rational functions},
booktitle = {Symbolic Numeric Computation, {SNC} '09, Kyoto, Japan - August 03
- 05, 2009},
pages = {65--70},
publisher = {{ACM}},
year = {2009},
url = {https://doi.org/10.1145/1577190.1577204},
doi = {10.1145/1577190.1577204},
timestamp = {Mon, 03 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/snc/KaltofenYZ09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:journals/corr/abs-0911-2325,
author = {Walid Gomaa},
editor = {S. Barry Cooper and
Vincent Danos},
title = {Characterizing Polynomial Time Computability of Rational and Real
Functions},
booktitle = {Proceedings Fifth Workshop on Developments in Computational Models--Computational
Models From Nature, {DCM} 2009, Rhodes, Greece, 11th July 2009},
series = {{EPTCS}},
volume = {9},
pages = {54--64},
year = {2009},
url = {https://doi.org/10.4204/EPTCS.9.7},
doi = {10.4204/EPTCS.9.7},
timestamp = {Mon, 16 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-0911-2325.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0906-2925,
author = {Laurent Bus{\'{e}} and
Guillaume Ch{\`{e}}ze and
Salah Najib},
title = {Noether's forms for the study of non-composite rational functions
and their spectrum},
journal = {CoRR},
volume = {abs/0906.2925},
year = {2009},
url = {http://arxiv.org/abs/0906.2925},
eprinttype = {arXiv},
eprint = {0906.2925},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-0906-2925.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/us/Woo08,
author = {Anne Woo},
title = {Passive Rational Fitting of a Passive Network Transfer Function From
Its Real Part},
school = {University of Illinois Urbana-Champaign, {USA}},
year = {2008},
url = {https://hdl.handle.net/2142/81084},
timestamp = {Mon, 18 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/phd/us/Woo08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/Straub08,
author = {Armin Straub},
title = {Positivity of Szeg{\"{o}}'s rational function},
journal = {Adv. Appl. Math.},
volume = {41},
number = {2},
pages = {255--264},
year = {2008},
url = {https://doi.org/10.1016/j.aam.2007.10.001},
doi = {10.1016/J.AAM.2007.10.001},
timestamp = {Mon, 16 Sep 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aam/Straub08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Boyd08a,
author = {John P. Boyd},
title = {Evaluating of Dawson's Integral by solving its differential equation
using orthogonal rational Chebyshev functions},
journal = {Appl. Math. Comput.},
volume = {204},
number = {2},
pages = {914--919},
year = {2008},
url = {https://doi.org/10.1016/j.amc.2008.07.039},
doi = {10.1016/J.AMC.2008.07.039},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/Boyd08a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/GanjiA08,
author = {D. D. Ganji and
M. Abdollahzadeh},
title = {Exact travelling solutions for the Lax's seventh-order KdV equation
by sech method and rational exp-function method},
journal = {Appl. Math. Comput.},
volume = {206},
number = {1},
pages = {438--444},
year = {2008},
url = {https://doi.org/10.1016/j.amc.2008.09.033},
doi = {10.1016/J.AMC.2008.09.033},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/GanjiA08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/WitulaS08,
author = {Roman Witula and
Damian Slota},
title = {Partial fractions decompositions of some rational functions},
journal = {Appl. Math. Comput.},
volume = {197},
number = {1},
pages = {328--336},
year = {2008},
url = {https://doi.org/10.1016/j.amc.2007.07.048},
doi = {10.1016/J.AMC.2007.07.048},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/WitulaS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/OrdokhaniR08,
author = {Yadollah Ordokhani and
Mohsen Razzaghi},
title = {Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations
via a collocation method and rationalized Haar functions},
journal = {Appl. Math. Lett.},
volume = {21},
number = {1},
pages = {4--9},
year = {2008},
url = {https://doi.org/10.1016/j.aml.2007.02.007},
doi = {10.1016/J.AML.2007.02.007},
timestamp = {Sat, 16 Sep 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/appml/OrdokhaniR08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/combinatorics/KoppeV08,
author = {Matthias K{\"{o}}ppe and
Sven Verdoolaege},
title = {Computing Parametric Rational Generating Functions with a Primal Barvinok
Algorithm},
journal = {Electron. J. Comb.},
volume = {15},
number = {1},
year = {2008},
url = {http://www.combinatorics.org/Volume\_15/Abstracts/v15i1r16.html},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/combinatorics/KoppeV08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/DeunC08,
author = {Joris Van Deun and
Ronald Cools},
title = {Integrating products of Bessel functions with an additional exponential
or rational factor},
journal = {Comput. Phys. Commun.},
volume = {178},
number = {8},
pages = {578--590},
year = {2008},
url = {https://doi.org/10.1016/j.cpc.2007.11.010},
doi = {10.1016/J.CPC.2007.11.010},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cphysics/DeunC08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/SchreierK08,
author = {Franz Schreier and
Dieter Kohlert},
title = {Optimized implementations of rational approximations - a case study
on the Voigt and complex error function},
journal = {Comput. Phys. Commun.},
volume = {179},
number = {7},
pages = {457--465},
year = {2008},
url = {https://doi.org/10.1016/j.cpc.2008.04.012},
doi = {10.1016/J.CPC.2008.04.012},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cphysics/SchreierK08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ejc/PanovZ08,
author = {Dmitri Panov and
Dimitri Zvonkine},
title = {Enumeration of almost polynomial rational functions with given critical
values},
journal = {Eur. J. Comb.},
volume = {29},
number = {2},
pages = {470--479},
year = {2008},
url = {https://doi.org/10.1016/j.ejc.2007.02.015},
doi = {10.1016/J.EJC.2007.02.015},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ejc/PanovZ08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/eor/Li08,
author = {Minqiang Li},
title = {Approximate inversion of the Black-Scholes formula using rational
functions},
journal = {Eur. J. Oper. Res.},
volume = {185},
number = {2},
pages = {743--759},
year = {2008},
url = {https://doi.org/10.1016/j.ejor.2006.12.028},
doi = {10.1016/J.EJOR.2006.12.028},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/eor/Li08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/Mottaghi-KashtibanKH08,
author = {Mahdi Mottaghi{-}Kashtiban and
Abdollah Khoei and
Khayrollah Hadidi},
title = {Optimization of rational-powered membership functions using extended
Kalman filter},
journal = {Fuzzy Sets Syst.},
volume = {159},
number = {23},
pages = {3232--3244},
year = {2008},
url = {https://doi.org/10.1016/j.fss.2008.06.021},
doi = {10.1016/J.FSS.2008.06.021},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/fss/Mottaghi-KashtibanKH08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ita/CartonFS08,
author = {Olivier Carton and
Olivier Finkel and
Pierre Simonnet},
title = {On the continuity set of an Omega rational function},
journal = {{RAIRO} Theor. Informatics Appl.},
volume = {42},
number = {1},
pages = {183--196},
year = {2008},
url = {https://doi.org/10.1051/ita:2007050},
doi = {10.1051/ITA:2007050},
timestamp = {Mon, 25 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ita/CartonFS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/NieDG08,
author = {Jiawang Nie and
James Demmel and
Ming Gu},
title = {Global minimization of rational functions and the nearest GCDs},
journal = {J. Glob. Optim.},
volume = {40},
number = {4},
pages = {697--718},
year = {2008},
url = {https://doi.org/10.1007/s10898-006-9119-8},
doi = {10.1007/S10898-006-9119-8},
timestamp = {Fri, 11 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/NieDG08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/AyadF08,
author = {Mohamed Ayad and
Peter Fleischmann},
title = {On the decomposition of rational functions},
journal = {J. Symb. Comput.},
volume = {43},
number = {4},
pages = {259--274},
year = {2008},
url = {https://doi.org/10.1016/j.jsc.2007.10.009},
doi = {10.1016/J.JSC.2007.10.009},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/AyadF08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/VerdoolaegeW08,
author = {Sven Verdoolaege and
Kevin M. Woods},
title = {Counting with rational generating functions},
journal = {J. Symb. Comput.},
volume = {43},
number = {2},
pages = {75--91},
year = {2008},
url = {https://doi.org/10.1016/j.jsc.2007.07.007},
doi = {10.1016/J.JSC.2007.07.007},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/VerdoolaegeW08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/kybernetes/AlipanahD08,
author = {Amjad Alipanah and
Mehdi Dehghan},
title = {Solution of population balance equations via rationalized Haar functions},
journal = {Kybernetes},
volume = {37},
number = {8},
pages = {1189--1196},
year = {2008},
url = {https://doi.org/10.1108/03684920810884982},
doi = {10.1108/03684920810884982},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/kybernetes/AlipanahD08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mssp/Dubi08,
author = {Chen Dubi},
title = {Triangular realization of rational functions of \emph{N} complex variables},
journal = {Multidimens. Syst. Signal Process.},
volume = {19},
number = {1},
pages = {123--129},
year = {2008},
url = {https://doi.org/10.1007/s11045-007-0026-z},
doi = {10.1007/S11045-007-0026-Z},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mssp/Dubi08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pcs/Polyakov08,
author = {S. P. Polyakov},
title = {Indefinite summation of rational functions with additional minimization
of the summable part},
journal = {Program. Comput. Softw.},
volume = {34},
number = {2},
pages = {95--100},
year = {2008},
url = {https://doi.org/10.1007/s11086-008-2006-y},
doi = {10.1007/S11086-008-2006-Y},
timestamp = {Sun, 06 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pcs/Polyakov08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/FrommerS08,
author = {Andreas Frommer and
Valeria Simoncini},
title = {Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric
Matrices},
journal = {{SIAM} J. Sci. Comput.},
volume = {30},
number = {3},
pages = {1387--1412},
year = {2008},
url = {https://doi.org/10.1137/070684598},
doi = {10.1137/070684598},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/FrommerS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcas/Chen08,
author = {Michael Z. Q. Chen},
title = {A Note on {PIN} Polynomials and {PRIN} Rational Functions},
journal = {{IEEE} Trans. Circuits Syst. {II} Express Briefs},
volume = {55-II},
number = {5},
pages = {462--463},
year = {2008},
url = {https://doi.org/10.1109/TCSII.2007.912686},
doi = {10.1109/TCSII.2007.912686},
timestamp = {Wed, 27 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcas/Chen08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/Ma08,
author = {Chunsheng Ma},
title = {Rational Covariance Functions for Nonstationary Random Fields},
journal = {{IEEE} Trans. Inf. Theory},
volume = {54},
number = {2},
pages = {895--897},
year = {2008},
url = {https://doi.org/10.1109/TIT.2007.913571},
doi = {10.1109/TIT.2007.913571},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/Ma08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/twc/TaoF08,
author = {Feng Tao and
Timothy R. Field},
title = {A state-space model for flat fading channels with a novel method of
rational function filter design},
journal = {{IEEE} Trans. Wirel. Commun.},
volume = {7},
number = {12-2},
pages = {5316--5325},
year = {2008},
url = {https://doi.org/10.1109/T-WC.2008.070912},
doi = {10.1109/T-WC.2008.070912},
timestamp = {Sun, 06 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/twc/TaoF08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/asap/BrisebarreCEMT08,
author = {Nicolas Brisebarre and
Sylvain Chevillard and
Milos D. Ercegovac and
Jean{-}Michel Muller and
Serge Torres},
title = {An efficient method for evaluating polynomial and rational function
approximations},
booktitle = {19th {IEEE} International Conference on Application-Specific Systems,
Architectures and Processors, {ASAP} 2008, July 2-4, 2008, Leuven,
Belgium},
pages = {233--238},
publisher = {{IEEE} Computer Society},
year = {2008},
url = {https://doi.org/10.1109/ASAP.2008.4580185},
doi = {10.1109/ASAP.2008.4580185},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/asap/BrisebarreCEMT08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dagstuhl/FrommerS08,
author = {Andreas Frommer and
Valeria Simoncini},
editor = {Annie A. M. Cuyt and
Walter Kr{\"{a}}mer and
Wolfram Luther and
Peter W. Markstein},
title = {Error Bounds for Lanczos Approximations of Rational Functions of Matrices},
booktitle = {Numerical Validation in Current Hardware Architectures, International
Dagstuhl Seminar, Dagstuhl Castle, Germany, January 6-11, 2008. Revised
Papers},
series = {Lecture Notes in Computer Science},
volume = {5492},
pages = {203--216},
publisher = {Springer},
year = {2008},
url = {https://doi.org/10.1007/978-3-642-01591-5\_13},
doi = {10.1007/978-3-642-01591-5\_13},
timestamp = {Tue, 14 May 2019 10:00:51 +0200},
biburl = {https://dblp.org/rec/conf/dagstuhl/FrommerS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/edutainment/DengFXC08,
author = {Siqing Deng and
Kui Fang and
Jin Xie and
Fulai Chen},
editor = {Zhigeng Pan and
Xiaopeng Zhang and
Abdennour El Rhalibi and
Woontack Woo and
Yi Li},
title = {Rational Biquartic Interpolating Surface Based on Function Values},
booktitle = {Technologies for E-Learning and Digital Entertainment, Third International
Conference, Edutainment 2008, Nanjing, China, June 25-27, 2008, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5093},
pages = {773--780},
publisher = {Springer},
year = {2008},
url = {https://doi.org/10.1007/978-3-540-69736-7\_82},
doi = {10.1007/978-3-540-69736-7\_82},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/edutainment/DengFXC08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hais/SottaraM08,
author = {Davide Sottara and
Paola Mello},
editor = {Emilio Corchado and
Ajith Abraham and
Witold Pedrycz},
title = {Modelling Radial Basis Functions with Rational Logic Rules},
booktitle = {Hybrid Artificial Intelligence Systems, Third International Workshop,
{HAIS} 2008, Burgos, Spain, September 24-26, 2008. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5271},
pages = {337--344},
publisher = {Springer},
year = {2008},
url = {https://doi.org/10.1007/978-3-540-87656-4\_42},
doi = {10.1007/978-3-540-87656-4\_42},
timestamp = {Tue, 14 May 2019 10:00:51 +0200},
biburl = {https://dblp.org/rec/conf/hais/SottaraM08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icsm/MalikCTJH08,
author = {Haroon Malik and
Istehad Chowdhury and
Hsiao{-}Ming Tsou and
Zhen Ming Jiang and
Ahmed E. Hassan},
title = {Understanding the rationale for updating a function's comment},
booktitle = {24th {IEEE} International Conference on Software Maintenance {(ICSM}
2008), September 28 - October 4, 2008, Beijing, China},
pages = {167--176},
publisher = {{IEEE} Computer Society},
year = {2008},
url = {https://doi.org/10.1109/ICSM.2008.4658065},
doi = {10.1109/ICSM.2008.4658065},
timestamp = {Wed, 16 Oct 2019 14:14:50 +0200},
biburl = {https://dblp.org/rec/conf/icsm/MalikCTJH08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iske/ZhouLXL08,
author = {Yongquan Zhou and
Bai Liu and
Zhucheng Xie and
Dexiang Luo},
title = {Rational functional network for function approximation},
booktitle = {3rd International Conference on Intelligent System and Knowledge Engineering,
{ISKE} 2008, Xiamen, China, November 17-19, 2008},
pages = {831--836},
publisher = {{IEEE}},
year = {2008},
url = {https://doi.org/10.1109/ISKE.2008.4731044},
doi = {10.1109/ISKE.2008.4731044},
timestamp = {Wed, 10 Nov 2021 12:36:01 +0100},
biburl = {https://dblp.org/rec/conf/iske/ZhouLXL08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/itsl/McAllister08,
author = {Tyrrell B. McAllister},
editor = {Matthias Dehmer and
Michael Drmota and
Frank Emmert{-}Streib},
title = {Coefficient functions of the Ehrhart quasi-polynomials of rational
polygons},
booktitle = {Proceedings of the 2008 International Conference on Information Theory
and Statistical Learning, {ITSL} 2008, Las Vegas, Nevada, USA, July
14-17, 2008},
pages = {114--118},
publisher = {{CSREA} Press},
year = {2008},
timestamp = {Thu, 12 Feb 2009 11:14:13 +0100},
biburl = {https://dblp.org/rec/conf/itsl/McAllister08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/0001S08,
author = {Jaime Gutierrez and
David Sevilla},
title = {Building counterexamples to generalizations for rational functions
of Ritt's decomposition theorem},
journal = {CoRR},
volume = {abs/0804.1687},
year = {2008},
url = {http://arxiv.org/abs/0804.1687},
eprinttype = {arXiv},
eprint = {0804.1687},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/0001S08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0801-3912,
author = {Olivier Carton and
Olivier Finkel and
Pierre Simonnet},
title = {On the Continuity Set of an omega Rational Function},
journal = {CoRR},
volume = {abs/0801.3912},
year = {2008},
url = {http://arxiv.org/abs/0801.3912},
eprinttype = {arXiv},
eprint = {0801.3912},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-0801-3912.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0804-1649,
author = {Jaime Gutierrez and
David Sevilla},
title = {On decomposition of tame polynomials and rational functions},
journal = {CoRR},
volume = {abs/0804.1649},
year = {2008},
url = {http://arxiv.org/abs/0804.1649},
eprinttype = {arXiv},
eprint = {0804.1649},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-0804-1649.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0805-2331,
author = {Jaime Gutierrez and
Rosario Rubio and
David Sevilla},
title = {Computing the fixing group of a rational function},
journal = {CoRR},
volume = {abs/0805.2331},
year = {2008},
url = {http://arxiv.org/abs/0805.2331},
eprinttype = {arXiv},
eprint = {0805.2331},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-0805-2331.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0808-1431,
author = {Neil J. Gunther},
title = {A General Theory of Computational Scalability Based on Rational Functions},
journal = {CoRR},
volume = {abs/0808.1431},
year = {2008},
url = {http://arxiv.org/abs/0808.1431},
eprinttype = {arXiv},
eprint = {0808.1431},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-0808-1431.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0809-0689,
author = {Matthias K{\"{o}}ppe and
Christopher Thomas Ryan and
Maurice Queyranne},
title = {Rational Generating Functions and Integer Programming Games},
journal = {CoRR},
volume = {abs/0809.0689},
year = {2008},
url = {http://arxiv.org/abs/0809.0689},
eprinttype = {arXiv},
eprint = {0809.0689},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-0809-0689.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aaecc/ShalabyJS07,
author = {Mohamed Shalaby and
Bert J{\"{u}}ttler and
Josef Schicho},
title = {Approximate implicitization of planar curves by piecewise rational
approximation of the distance function},
journal = {Appl. Algebra Eng. Commun. Comput.},
volume = {18},
number = {1-2},
pages = {71--89},
year = {2007},
url = {https://doi.org/10.1007/s00200-006-0025-6},
doi = {10.1007/S00200-006-0025-6},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/aaecc/ShalabyJS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aeog/ZoejMMES07,
author = {Mohammad Javad Valadan Zoej and
Mehdi Mokhtarzade and
Ali Mansourian and
Hamid Ebadi and
Saeid Sadeghian},
title = {Rational function optimization using genetic algorithms},
journal = {Int. J. Appl. Earth Obs. Geoinformation},
volume = {9},
number = {4},
pages = {403--413},
year = {2007},
url = {https://doi.org/10.1016/j.jag.2007.02.002},
doi = {10.1016/J.JAG.2007.02.002},
timestamp = {Tue, 15 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/aeog/ZoejMMES07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithmica/VerdoolaegeSBLB07,
author = {Sven Verdoolaege and
Rachid Seghir and
Kristof Beyls and
Vincent Loechner and
Maurice Bruynooghe},
title = {Counting Integer Points in Parametric Polytopes Using Barvinok's Rational
Functions},
journal = {Algorithmica},
volume = {48},
number = {1},
pages = {37--66},
year = {2007},
url = {https://doi.org/10.1007/s00453-006-1231-0},
doi = {10.1007/S00453-006-1231-0},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/algorithmica/VerdoolaegeSBLB07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Adamchik07,
author = {Victor S. Adamchik},
title = {On the Hurwitz function for rational arguments},
journal = {Appl. Math. Comput.},
volume = {187},
number = {1},
pages = {3--12},
year = {2007},
url = {https://doi.org/10.1016/j.amc.2006.08.096},
doi = {10.1016/J.AMC.2006.08.096},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Adamchik07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/JoshiV07,
author = {C. M. Joshi and
Yashoverdhan Vyas},
title = {Extensions of two q-series expansions with applications to biorthogonal
rational functions},
journal = {Appl. Math. Comput.},
volume = {187},
number = {1},
pages = {219--222},
year = {2007},
url = {https://doi.org/10.1016/j.amc.2006.08.119},
doi = {10.1016/J.AMC.2006.08.119},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/JoshiV07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/RainaB07,
author = {Ravinder Krishna Raina and
Deepak Bansal},
title = {Some properties of a certain class of rational functions},
journal = {Appl. Math. Comput.},
volume = {187},
number = {1},
pages = {403--407},
year = {2007},
url = {https://doi.org/10.1016/j.amc.2006.08.139},
doi = {10.1016/J.AMC.2006.08.139},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/RainaB07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/DeunBG07,
author = {Joris Van Deun and
Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera},
title = {Computing orthogonal rational functions with poles near the boundary},
journal = {Comput. Math. Appl.},
volume = {53},
number = {9},
pages = {1421--1428},
year = {2007},
url = {https://doi.org/10.1016/j.camwa.2006.08.036},
doi = {10.1016/J.CAMWA.2006.08.036},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/DeunBG07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fodm/Georgescu07,
author = {Irina Georgescu},
title = {Ranking fuzzy choice functions by their rationality indicators},
journal = {Fuzzy Optim. Decis. Mak.},
volume = {6},
number = {4},
pages = {367--389},
year = {2007},
url = {https://doi.org/10.1007/s10700-007-9019-5},
doi = {10.1007/S10700-007-9019-5},
timestamp = {Fri, 13 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fodm/Georgescu07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieicet/Mottaghi-KashtibanKH07,
author = {Mahdi Mottaghi{-}Kashtiban and
Abdollah Khoei and
Khayrollah Hadidi},
title = {A Current-Mode, First-Order Takagi-Sugeno-Kang Fuzzy Logic Controller,
Supporting Rational-Powered Membership Functions},
journal = {{IEICE} Trans. Electron.},
volume = {90-C},
number = {6},
pages = {1258--1266},
year = {2007},
url = {https://doi.org/10.1093/ietele/e90-c.6.1258},
doi = {10.1093/IETELE/E90-C.6.1258},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ieicet/Mottaghi-KashtibanKH07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijbc/OnoK07,
author = {Asuka Ono and
Tohru Kohda},
title = {Solvable Three-Dimensional Rational Chaotic Map Defined by Jacobian
Elliptic Functions},
journal = {Int. J. Bifurc. Chaos},
volume = {17},
number = {10},
pages = {3645--3650},
year = {2007},
url = {https://doi.org/10.1142/S0218127407019500},
doi = {10.1142/S0218127407019500},
timestamp = {Wed, 27 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijbc/OnoK07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/WangWD07,
author = {Quanlong Wang and
Kunpeng Wang and
Zongduo Dai},
title = {On optimal simultaneous rational approximation to (omega, omega\({}^{\mbox{2}}\))\({}^{\mbox{tau}}\)
with omega being some kind of cubic algebraic function},
journal = {J. Approx. Theory},
volume = {148},
number = {2},
pages = {194--210},
year = {2007},
url = {https://doi.org/10.1016/j.jat.2007.04.002},
doi = {10.1016/J.JAT.2007.04.002},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/WangWD07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jet/XuZ07,
author = {Yongsheng Xu and
Lin Zhou},
title = {Rationalizability of choice functions by game trees},
journal = {J. Econ. Theory},
volume = {134},
number = {1},
pages = {548--556},
year = {2007},
url = {https://doi.org/10.1016/j.jet.2006.01.002},
doi = {10.1016/J.JET.2006.01.002},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jet/XuZ07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jfi/Hachicho07,
author = {O. Hachicho},
title = {A novel LMI-based optimization algorithm for the guaranteed estimation
of the domain of attraction using rational Lyapunov functions},
journal = {J. Frankl. Inst.},
volume = {344},
number = {5},
pages = {535--552},
year = {2007},
url = {https://doi.org/10.1016/j.jfranklin.2006.02.032},
doi = {10.1016/J.JFRANKLIN.2006.02.032},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jfi/Hachicho07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nla/Moret07,
author = {Igor Moret},
title = {On RD-rational Krylov approximations to the core-functions of exponential
integrators},
journal = {Numer. Linear Algebra Appl.},
volume = {14},
number = {5},
pages = {445--457},
year = {2007},
url = {https://doi.org/10.1002/nla.532},
doi = {10.1002/NLA.532},
timestamp = {Tue, 16 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nla/Moret07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scw/Georgescu07,
author = {Irina Georgescu},
title = {Arrow's Axiom and Full Rationality for Fuzzy Choice Functions},
journal = {Soc. Choice Welf.},
volume = {28},
number = {2},
pages = {303--319},
year = {2007},
url = {https://doi.org/10.1007/s00355-006-0160-9},
doi = {10.1007/S00355-006-0160-9},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/scw/Georgescu07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/Liesen07,
author = {J{\"{o}}rg Liesen},
title = {When is the Adjoint of a Matrix a Low Degree Rational Function in
the Matrix?},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {29},
number = {4},
pages = {1171--1180},
year = {2007},
url = {https://doi.org/10.1137/060675538},
doi = {10.1137/060675538},
timestamp = {Tue, 26 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/Liesen07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamnum/SchmelzerT07,
author = {Thomas Schmelzer and
Lloyd N. Trefethen},
title = {Computing the Gamma Function Using Contour Integrals and Rational
Approximations},
journal = {{SIAM} J. Numer. Anal.},
volume = {45},
number = {2},
pages = {558--571},
year = {2007},
url = {https://doi.org/10.1137/050646342},
doi = {10.1137/050646342},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/SchmelzerT07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/ica/TichavskyKO07,
author = {Petr Tichavsk{\'{y}} and
Zbynek Koldovsk{\'{y}} and
Erkki Oja},
editor = {Mike E. Davies and
Christopher J. James and
Samer A. Abdallah and
Mark D. Plumbley},
title = {Speed and Accuracy Enhancement of Linear {ICA} Techniques Using Rational
Nonlinear Functions},
booktitle = {Independent Component Analysis and Signal Separation, 7th International
Conference, {ICA} 2007, London, UK, September 9-12, 2007},
series = {Lecture Notes in Computer Science},
volume = {4666},
pages = {285--292},
publisher = {Springer},
year = {2007},
url = {https://doi.org/10.1007/978-3-540-74494-8\_36},
doi = {10.1007/978-3-540-74494-8\_36},
timestamp = {Wed, 26 Oct 2022 13:15:53 +0200},
biburl = {https://dblp.org/rec/conf/ica/TichavskyKO07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/issac/KaiNN07,
author = {Hiroshi Kai and
Nanami Nakagawa and
Matu{-}Tarow Noda},
editor = {Stephen M. Watt and
Jan Verschelde},
title = {A hybrid integral for parametrized rational functions},
booktitle = {Symbolic-Numeric Computation, {SNC} 2007, International Workshop,
25-27 July 2007, University of Western Ontario, London, Ontario, Canada},
pages = {201--202},
publisher = {{ACM}},
year = {2007},
url = {https://doi.org/10.1145/1277500.1277531},
doi = {10.1145/1277500.1277531},
timestamp = {Thu, 16 Nov 2023 14:51:34 +0100},
biburl = {https://dblp.org/rec/conf/issac/KaiNN07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/issac/KaltofenY07,
author = {Erich L. Kaltofen and
Zhengfeng Yang},
editor = {Dongming Wang},
title = {On exact and approximate interpolation of sparse rational functions},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2007, Waterloo, Ontario, Canada, July 28 - August 1, 2007, Proceedings},
pages = {203--210},
publisher = {{ACM}},
year = {2007},
url = {https://doi.org/10.1145/1277548.1277577},
doi = {10.1145/1277548.1277577},
timestamp = {Mon, 22 Apr 2024 21:24:34 +0200},
biburl = {https://dblp.org/rec/conf/issac/KaltofenY07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/amc/Ordokhani06,
author = {Yadollah Ordokhani},
title = {Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations
via rationalized Haar functions},
journal = {Appl. Math. Comput.},
volume = {180},
number = {2},
pages = {436--443},
year = {2006},
url = {https://doi.org/10.1016/j.amc.2005.12.034},
doi = {10.1016/J.AMC.2005.12.034},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Ordokhani06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/automatica/WangYZ06,
author = {Le Yi Wang and
Gang George Yin and
Ji{-}Feng Zhang},
title = {Joint identification of plant rational models and noise distribution
functions using binary-valued observations},
journal = {Autom.},
volume = {42},
number = {4},
pages = {535--547},
year = {2006},
url = {https://doi.org/10.1016/j.automatica.2005.12.004},
doi = {10.1016/J.AUTOMATICA.2005.12.004},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/automatica/WangYZ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cca/UmedaS06,
author = {Yasushi Umeda and
Tateaki Sasaki},
title = {Computing determinants of rational functions},
journal = {{ACM} Commun. Comput. Algebra},
volume = {40},
number = {1},
pages = {2--8},
year = {2006},
url = {https://doi.org/10.1145/1151446.1151448},
doi = {10.1145/1151446.1151448},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/UmedaS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cma/DariusGP06,
author = {Leyla Daruis and
Pablo Gonz{\'{a}}lez{-}Vera and
M. Jim{\'{e}}nez Paiz},
title = {Quadrature formulas associated with rational modifications of the
Chebyshev weight functions},
journal = {Comput. Math. Appl.},
volume = {51},
number = {3-4},
pages = {419--430},
year = {2006},
url = {https://doi.org/10.1016/j.camwa.2005.10.004},
doi = {10.1016/J.CAMWA.2005.10.004},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/DariusGP06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/dcc/Bini06,
author = {Gilberto Bini},
title = {A-Codes from Rational Functions over Galois Rings},
journal = {Des. Codes Cryptogr.},
volume = {39},
number = {2},
pages = {207--214},
year = {2006},
url = {https://doi.org/10.1007/s10623-005-3297-0},
doi = {10.1007/S10623-005-3297-0},
timestamp = {Mon, 17 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/dcc/Bini06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ijmmsc/Lasarow06,
author = {Andreas Lasarow},
title = {Dual Szeg{\"{o}} pairs of sequences of rational matrix-valued
functions},
journal = {Int. J. Math. Math. Sci.},
volume = {2006},
pages = {23723:1--23723:37},
year = {2006},
url = {https://doi.org/10.1155/IJMMS/2006/23723},
doi = {10.1155/IJMMS/2006/23723},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijmmsc/Lasarow06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jfp/GibbonsLB06,
author = {Jeremy Gibbons and
David R. Lester and
Richard S. Bird},
title = {Functional Pearl: Enumerating the rationals},
journal = {J. Funct. Program.},
volume = {16},
number = {3},
pages = {281--291},
year = {2006},
url = {https://doi.org/10.1017/S0956796806005880},
doi = {10.1017/S0956796806005880},
timestamp = {Wed, 14 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jfp/GibbonsLB06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jscic/NersessianP06,
author = {A. Nersessian and
Arnak V. Poghosyan},
title = {On a Rational Linear Approximation of Fourier Series for Smooth Functions},
journal = {J. Sci. Comput.},
volume = {26},
number = {1},
pages = {111--125},
year = {2006},
url = {https://doi.org/10.1007/s10915-004-4809-1},
doi = {10.1007/S10915-004-4809-1},
timestamp = {Thu, 06 Dec 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/NersessianP06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mp/JibeteanK06,
author = {Dorina Jibetean and
Etienne de Klerk},
title = {Global optimization of rational functions: a semidefinite programming
approach},
journal = {Math. Program.},
volume = {106},
number = {1},
pages = {93--109},
year = {2006},
url = {https://doi.org/10.1007/s10107-005-0589-0},
doi = {10.1007/S10107-005-0589-0},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mp/JibeteanK06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scl/Fernandez-AnayaMK06,
author = {Guillermo Fern{\'{a}}ndez{-}Anaya and
Juan Carlos Mart{\'{\i}}nez{-}Garc{\'{\i}}a and
Vladim{\'{\i}}r Kucera},
title = {Characterizing families of positive real matrices by matrix substitutions
on scalar rational functions},
journal = {Syst. Control. Lett.},
volume = {55},
number = {11},
pages = {871--878},
year = {2006},
url = {https://doi.org/10.1016/j.sysconle.2006.05.001},
doi = {10.1016/J.SYSCONLE.2006.05.001},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/scl/Fernandez-AnayaMK06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scw/BossertSS06,
author = {Walter Bossert and
Yves Sprumont and
Kotaro Suzumura},
title = {Rationalizability of choice functions on general domains without full
transitivity},
journal = {Soc. Choice Welf.},
volume = {27},
number = {3},
pages = {435--458},
year = {2006},
url = {https://doi.org/10.1007/s00355-006-0132-0},
doi = {10.1007/S00355-006-0132-0},
timestamp = {Wed, 22 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/scw/BossertSS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/LopezS06,
author = {Luciano Lopez and
Valeria Simoncini},
title = {Analysis of Projection Methods for Rational Function Approximation
to the Matrix Exponential},
journal = {{SIAM} J. Numer. Anal.},
volume = {44},
number = {2},
pages = {613--635},
year = {2006},
url = {https://doi.org/10.1137/05062590},
doi = {10.1137/05062590},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/LopezS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/BjornerS06,
author = {Anders Bj{\"{o}}rner and
Bruce E. Sagan},
title = {Rationality of the M{\"{o}}bius function of a composition poset},
journal = {Theor. Comput. Sci.},
volume = {359},
number = {1-3},
pages = {282--298},
year = {2006},
url = {https://doi.org/10.1016/j.tcs.2006.03.025},
doi = {10.1016/J.TCS.2006.03.025},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/BjornerS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tsmc/Lawson06,
author = {Harold W. Lawson},
title = {Rational function distribution in computer system architectures: key
to stable and secure platforms},
journal = {{IEEE} Trans. Syst. Man Cybern. Syst.},
volume = {36},
number = {3},
pages = {377--381},
year = {2006},
url = {https://doi.org/10.1109/TSMCC.2006.871571},
doi = {10.1109/TSMCC.2006.871571},
timestamp = {Tue, 27 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tsmc/Lawson06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/GutierrezS06,
author = {Jaime Gutierrez and
David Sevilla},
editor = {Victor G. Ganzha and
Ernst W. Mayr and
Evgenii V. Vorozhtsov},
title = {On Decomposition of Tame Polynomials and Rational Functions},
booktitle = {Computer Algebra in Scientific Computing, 9th International Workshop,
{CASC} 2006, Chisinau, Moldova, September 11-15, 2006, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4194},
pages = {219--226},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/11870814\_18},
doi = {10.1007/11870814\_18},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/casc/GutierrezS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/CoutinhoD06,
author = {Daniel F. Coutinho and
Patrick Dan{\`{e}}s},
title = {Piecewise Lyapunov Functions to the Stability Analysis of Rational
Systems subject to Multiple State Constraints},
booktitle = {45th {IEEE} Conference on Decision and Control, {CDC} 2006, San Diego,
CA, USA, December 13-15, 2006},
pages = {5801--5806},
publisher = {{IEEE}},
year = {2006},
url = {https://doi.org/10.1109/CDC.2006.377086},
doi = {10.1109/CDC.2006.377086},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/CoutinhoD06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/MartinoGMP06,
author = {Domenico Di Martino and
Alfredo Germani and
Costanzo Manes and
Pasquale Palumbo},
title = {Design of observers for systems with rational output function},
booktitle = {45th {IEEE} Conference on Decision and Control, {CDC} 2006, San Diego,
CA, USA, December 13-15, 2006},
pages = {1641--1646},
publisher = {{IEEE}},
year = {2006},
url = {https://doi.org/10.1109/CDC.2006.377751},
doi = {10.1109/CDC.2006.377751},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/MartinoGMP06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/NurdinM06,
author = {Hendra I. Nurdin and
John B. Moore},
title = {Computation of Degree Constrained Rational Interpolants with Non-Strictly
Positive Parametrizing Functions via Homotopy Continuation},
booktitle = {45th {IEEE} Conference on Decision and Control, {CDC} 2006, San Diego,
CA, USA, December 13-15, 2006},
pages = {565--570},
publisher = {{IEEE}},
year = {2006},
url = {https://doi.org/10.1109/CDC.2006.377604},
doi = {10.1109/CDC.2006.377604},
timestamp = {Wed, 08 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/NurdinM06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/WillemsY06,
author = {Jan C. Willems and
Yutaka Yamamoto},
title = {Behaviors Defined by Rational Functions},
booktitle = {45th {IEEE} Conference on Decision and Control, {CDC} 2006, San Diego,
CA, USA, December 13-15, 2006},
pages = {550--552},
publisher = {{IEEE}},
year = {2006},
url = {https://doi.org/10.1109/CDC.2006.377773},
doi = {10.1109/CDC.2006.377773},
timestamp = {Wed, 08 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/WillemsY06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cie/Bergstra06,
author = {Jan A. Bergstra},
editor = {Arnold Beckmann and
Ulrich Berger and
Benedikt L{\"{o}}we and
John V. Tucker},
title = {Elementary Algebraic Specifications of the Rational Function Field},
booktitle = {Logical Approaches to Computational Barriers, Second Conference on
Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006,
Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3988},
pages = {40--54},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/11780342\_5},
doi = {10.1007/11780342\_5},
timestamp = {Tue, 14 May 2019 10:00:41 +0200},
biburl = {https://dblp.org/rec/conf/cie/Bergstra06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/compsac/ZhaoS06,
author = {Nai Yan Zhao and
Mi Wan Shum},
title = {Technical Solution to Automate Smoke Test Using Rational Functional
Tester and Virtualization Technology},
booktitle = {30th Annual International Computer Software and Applications Conference,
{COMPSAC} 2006, Chicago, Illinois, USA, September 17-21, 2006. Volume
2},
pages = {367},
publisher = {{IEEE} Computer Society},
year = {2006},
url = {https://doi.org/10.1109/COMPSAC.2006.166},
doi = {10.1109/COMPSAC.2006.166},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/compsac/ZhaoS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/iccS/PolitiP06,
author = {Tiziano Politi and
Marina Popolizio},
editor = {Vassil N. Alexandrov and
G. Dick van Albada and
Peter M. A. Sloot and
Jack J. Dongarra},
title = {Schur Decomposition Methods for the Computation of Rational Matrix
Functions},
booktitle = {Computational Science - {ICCS} 2006, 6th International Conference,
Reading, UK, May 28-31, 2006, Proceedings, Part {IV}},
series = {Lecture Notes in Computer Science},
volume = {3994},
pages = {708--715},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/11758549\_96},
doi = {10.1007/11758549\_96},
timestamp = {Tue, 14 May 2019 10:00:48 +0200},
biburl = {https://dblp.org/rec/conf/iccS/PolitiP06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/issac/KhodadadM06,
author = {Sara Khodadad and
Michael B. Monagan},
editor = {Barry M. Trager},
title = {Fast rational function reconstruction},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2006, Genoa, Italy, July 9-12, 2006, Proceedings},
pages = {184--190},
publisher = {{ACM}},
year = {2006},
url = {https://doi.org/10.1145/1145768.1145801},
doi = {10.1145/1145768.1145801},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/KhodadadM06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nma/Popova06,
author = {Evgenija D. Popova},
editor = {Todor Boyanov and
Stefka Dimova and
Krassimir Georgiev and
Geno P. Nikolov},
title = {Solving Linear Systems Whose Input Data Are Rational Functions of
Interval Parameters},
booktitle = {Numerical Methods and Applications, 6th International Conference,
{NMA} 2006, Borovets, Bulgaria, August 20-24, 2006. Revised Papers},
series = {Lecture Notes in Computer Science},
volume = {4310},
pages = {345--352},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/978-3-540-70942-8\_41},
doi = {10.1007/978-3-540-70942-8\_41},
timestamp = {Tue, 14 May 2019 10:00:41 +0200},
biburl = {https://dblp.org/rec/conf/nma/Popova06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/us/Gao05a,
author = {Rong Gao},
title = {Black Box Modeling of Passive Systems by Rational Function Approximation},
school = {University of Illinois Urbana-Champaign, {USA}},
year = {2005},
url = {https://hdl.handle.net/2142/80921},
timestamp = {Thu, 31 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/phd/us/Gao05a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/DuanWT05,
author = {Qi Duan and
Liqiu Wang and
Edward H. Twizell},
title = {A new C\({}^{\mbox{2}}\) rational interpolation based on function
values and constrained control of the interpolant curves},
journal = {Appl. Math. Comput.},
volume = {161},
number = {1},
pages = {311--322},
year = {2005},
url = {https://doi.org/10.1016/j.amc.2003.12.030},
doi = {10.1016/J.AMC.2003.12.030},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/DuanWT05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/apal/Shlapentokh05,
author = {Alexandra Shlapentokh},
title = {First-order definitions of rational functions and s-integers over
holomorphy rings of algebraic functions of characteristic 0},
journal = {Ann. Pure Appl. Log.},
volume = {136},
number = {3},
pages = {267--283},
year = {2005},
url = {https://doi.org/10.1016/j.apal.2005.04.004},
doi = {10.1016/J.APAL.2005.04.004},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/apal/Shlapentokh05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dcc/Ozbudak05,
author = {Ferruh {\"{O}}zbudak},
title = {Elements of Prescribed Order, Prescribed Traces and Systems of Rational
Functions Over Finite Fields},
journal = {Des. Codes Cryptogr.},
volume = {34},
number = {1},
pages = {35--54},
year = {2005},
url = {https://doi.org/10.1007/s10623-003-4193-0},
doi = {10.1007/S10623-003-4193-0},
timestamp = {Fri, 09 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/dcc/Ozbudak05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/disopt/LoeraHHHY05,
author = {Jes{\'{u}}s A. De Loera and
David Haws and
Raymond Hemmecke and
Peter Huggins and
Ruriko Yoshida},
title = {A computational study of integer programming algorithms based on Barvinok's
rational functions},
journal = {Discret. Optim.},
volume = {2},
number = {2},
pages = {135--144},
year = {2005},
url = {https://doi.org/10.1016/j.disopt.2005.04.001},
doi = {10.1016/J.DISOPT.2005.04.001},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/disopt/LoeraHHHY05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ffa/GarciaS05,
author = {Arnaldo Garcia and
Henning Stichtenoth},
title = {Asymptotics for the genus and the number of rational places in towers
of function fields over a finite field},
journal = {Finite Fields Their Appl.},
volume = {11},
number = {3},
pages = {434--450},
year = {2005},
url = {https://doi.org/10.1016/j.ffa.2005.04.004},
doi = {10.1016/J.FFA.2005.04.004},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/GarciaS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ffa/Lauder05,
author = {Alan G. B. Lauder},
title = {Rationality and meromorphy of zeta functions},
journal = {Finite Fields Their Appl.},
volume = {11},
number = {3},
pages = {491--510},
year = {2005},
url = {https://doi.org/10.1016/j.ffa.2005.03.004},
doi = {10.1016/J.FFA.2005.03.004},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ffa/Lauder05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmmsc/LaohakosolP05,
author = {Vichian Laohakosol and
Nittiya Pabhapote},
title = {Properties of rational arithmetic functions},
journal = {Int. J. Math. Math. Sci.},
volume = {2005},
number = {24},
pages = {3997--4017},
year = {2005},
url = {https://doi.org/10.1155/IJMMS.2005.3997},
doi = {10.1155/IJMMS.2005.3997},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijmmsc/LaohakosolP05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ipl/Honkala05,
author = {Juha Honkala},
title = {The class of {HDT0L} sequences is closed with respect to rational
functions},
journal = {Inf. Process. Lett.},
volume = {94},
number = {4},
pages = {155--158},
year = {2005},
url = {https://doi.org/10.1016/j.ipl.2005.01.013},
doi = {10.1016/J.IPL.2005.01.013},
timestamp = {Fri, 26 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ipl/Honkala05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Prokhorov05,
author = {Vasiliy A. Prokhorov},
title = {On best rational approximation of analytic functions},
journal = {J. Approx. Theory},
volume = {133},
number = {2},
pages = {284--296},
year = {2005},
url = {https://doi.org/10.1016/j.jat.2004.12.007},
doi = {10.1016/J.JAT.2004.12.007},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Prokhorov05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/ChenS05,
author = {William Y. C. Chen and
Husam L. Saad},
title = {On the Gosper-Petkovs(ek representation of rational functions},
journal = {J. Symb. Comput.},
volume = {40},
number = {2},
pages = {955--963},
year = {2005},
url = {https://doi.org/10.1016/j.jsc.2005.01.007},
doi = {10.1016/J.JSC.2005.01.007},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/ChenS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jucs/Clark05,
author = {Jeremy Clark},
title = {Constructive Analysis of Iterated Rational Functions},
journal = {J. Univers. Comput. Sci.},
volume = {11},
number = {12},
pages = {1904--1931},
year = {2005},
url = {https://doi.org/10.3217/jucs-011-12-1904},
doi = {10.3217/JUCS-011-12-1904},
timestamp = {Thu, 07 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jucs/Clark05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mvl/AmatoNG05,
author = {Paolo Amato and
Antonio Di Nola and
Brunella Gerla},
title = {Neural Networks And Rational Mcnaughton Functions},
journal = {J. Multiple Valued Log. Soft Comput.},
volume = {11},
number = {1-2},
pages = {95--110},
year = {2005},
url = {http://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-11-number-1-2-2005/mvlsc-11-1-2-p-95-110/},
timestamp = {Fri, 05 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mvl/AmatoNG05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nla/Trench05,
author = {William F. Trench},
title = {Asymptotic relationships between singular values of structured matrices
similarly generated by different formal expansions of a rational function},
journal = {Numer. Linear Algebra Appl.},
volume = {12},
number = {2-3},
pages = {111--116},
year = {2005},
url = {https://doi.org/10.1002/nla.406},
doi = {10.1002/NLA.406},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nla/Trench05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/DelvauxB05,
author = {Steven Delvaux and
Marc Van Barel},
title = {Orthonormal rational function vectors},
journal = {Numerische Mathematik},
volume = {100},
number = {3},
pages = {409--440},
year = {2005},
url = {https://doi.org/10.1007/s00211-005-0586-5},
doi = {10.1007/S00211-005-0586-5},
timestamp = {Wed, 19 May 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/DelvauxB05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/Ysern05,
author = {Bernardo de la Calle Ysern},
title = {Error bounds for rational quadrature formulae of analytic functions},
journal = {Numerische Mathematik},
volume = {101},
number = {2},
pages = {251--271},
year = {2005},
url = {https://doi.org/10.1007/s00211-005-0575-8},
doi = {10.1007/S00211-005-0575-8},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/Ysern05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/pcs/Polyakov05,
author = {S. P. Polyakov},
title = {Symbolic additive decomposition of rational functions},
journal = {Program. Comput. Softw.},
volume = {31},
number = {2},
pages = {60--64},
year = {2005},
url = {https://doi.org/10.1007/s11086-005-0014-8},
doi = {10.1007/S11086-005-0014-8},
timestamp = {Sun, 06 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pcs/Polyakov05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/BarelFGM05,
author = {Marc Van Barel and
Dario Fasino and
Luca Gemignani and
Nicola Mastronardi},
title = {Orthogonal Rational Functions and Structured Matrices},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {26},
number = {3},
pages = {810--829},
year = {2005},
url = {https://doi.org/10.1137/S0895479803444454},
doi = {10.1137/S0895479803444454},
timestamp = {Wed, 19 May 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/BarelFGM05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/sopr/BalabkoWRC05,
author = {Pavel Balabko and
Alain Wegmann and
Alain Ruppen and
Nicolas Cl{\'{e}}ment},
title = {Capturing design rationale with functional decomposition of roles
in business processes modeling},
journal = {Softw. Process. Improv. Pract.},
volume = {10},
number = {4},
pages = {379--392},
year = {2005},
url = {https://doi.org/10.1002/spip.241},
doi = {10.1002/SPIP.241},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/sopr/BalabkoWRC05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tbc/MahilS05,
author = {Sukhdeep Mahil and
Abu B. Sesay},
title = {Rational function based predistorter for traveling wave tube amplifiers},
journal = {{IEEE} Trans. Broadcast.},
volume = {51},
number = {1},
pages = {77--83},
year = {2005},
url = {https://doi.org/10.1109/TBC.2004.842519},
doi = {10.1109/TBC.2004.842519},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tbc/MahilS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tcas/LuoC05,
author = {Shuiping Luo and
Zhizhang Chen},
title = {Extraction of causal time-domain network parameters from their band-limited
frequency-domain counterparts using rational functions},
journal = {{IEEE} Trans. Circuits Syst. {I} Regul. Pap.},
volume = {52-I},
number = {6},
pages = {1205--1210},
year = {2005},
url = {https://doi.org/10.1109/TCSI.2005.849141},
doi = {10.1109/TCSI.2005.849141},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcas/LuoC05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/bmvc/ClausF05,
author = {David Claus and
Andrew W. Fitzgibbon},
editor = {William F. Clocksin and
Andrew W. Fitzgibbon and
Philip H. S. Torr},
title = {A Plumbline Constraint for the Rational Function Lens Distortion Model},
booktitle = {Proceedings of the British Machine Vision Conference 2005, Oxford,
UK, September 2005},
publisher = {British Machine Vision Association},
year = {2005},
url = {https://doi.org/10.5244/C.19.10},
doi = {10.5244/C.19.10},
timestamp = {Wed, 03 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/bmvc/ClausF05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/AkcayT05a,
author = {H{\"{u}}seyin Ak{\c{c}}ay and
Semiha T{\"{u}}rkay},
title = {A Subspace-Based Approach to Lagrange-Sylvester Interpolation of Rational
Matrix Functions},
booktitle = {44th {IEEE} {IEEE} Conference on Decision and Control and 8th European
Control Conference Control, {CDC/ECC} 2005, Seville, Spain, 12-15
December, 2005},
pages = {7102--7107},
publisher = {{IEEE}},
year = {2005},
url = {https://doi.org/10.1109/CDC.2005.1583306},
doi = {10.1109/CDC.2005.1583306},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cdc/AkcayT05a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/PaluriS05,
author = {Nataraj S. V. Paluri and
Shanta Sondur},
title = {Extrapolation based interval approach to compute the frequency responses
of non-rational transfer functions with nonlinear parametric dependencies},
booktitle = {44th {IEEE} {IEEE} Conference on Decision and Control and 8th European
Control Conference Control, {CDC/ECC} 2005, Seville, Spain, 12-15
December, 2005},
pages = {6561--6566},
publisher = {{IEEE}},
year = {2005},
url = {https://doi.org/10.1109/CDC.2005.1583215},
doi = {10.1109/CDC.2005.1583215},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/PaluriS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cocoon/HallgrenRS05,
author = {Sean Hallgren and
Alexander Russell and
Igor E. Shparlinski},
editor = {Lusheng Wang},
title = {Quantum Noisy Rational Function Reconstruction},
booktitle = {Computing and Combinatorics, 11th Annual International Conference,
{COCOON} 2005, Kunming, China, August 16-29, 2005, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3595},
pages = {420--429},
publisher = {Springer},
year = {2005},
url = {https://doi.org/10.1007/11533719\_43},
doi = {10.1007/11533719\_43},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cocoon/HallgrenRS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cvpr/ClausF05,
author = {David Claus and
Andrew W. Fitzgibbon},
title = {A Rational Function Lens Distortion Model for General Cameras},
booktitle = {2005 {IEEE} Computer Society Conference on Computer Vision and Pattern
Recognition {(CVPR} 2005), 20-26 June 2005, San Diego, CA, {USA}},
pages = {213--219},
publisher = {{IEEE} Computer Society},
year = {2005},
url = {https://doi.org/10.1109/CVPR.2005.43},
doi = {10.1109/CVPR.2005.43},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cvpr/ClausF05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iscas/KatoK05,
author = {Aya Kato and
Tohru Kohda},
title = {Solvable 2-dimensional rational chaotic map defined by Jacobian elliptic
functions},
booktitle = {International Symposium on Circuits and Systems {(ISCAS} 2005), 23-26
May 2005, Kobe, Japan},
pages = {1477--1480},
publisher = {{IEEE}},
year = {2005},
url = {https://doi.org/10.1109/ISCAS.2005.1464878},
doi = {10.1109/ISCAS.2005.1464878},
timestamp = {Tue, 25 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/iscas/KatoK05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aaecc/MoisioV04,
author = {Marko J. Moisio and
Keijo O. V{\"{a}}{\"{a}}n{\"{a}}nen},
title = {A Comparision of the Number of Rational Places of Certain Function
Fields to the Hasse-Weil Bounds},
journal = {Appl. Algebra Eng. Commun. Comput.},
volume = {14},
number = {5},
pages = {341--359},
year = {2004},
url = {https://doi.org/10.1007/s00200-003-0143-3},
doi = {10.1007/S00200-003-0143-3},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aaecc/MoisioV04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/MaleknejadMA04,
author = {Khosrow Maleknejad and
Farshid Mirzaee and
Saeid Abbasbandy},
title = {Solving linear integro-differential equations system by using rationalized
Haar functions method},
journal = {Appl. Math. Comput.},
volume = {155},
number = {2},
pages = {317--328},
year = {2004},
url = {https://doi.org/10.1016/S0096-3003(03)00778-1},
doi = {10.1016/S0096-3003(03)00778-1},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/MaleknejadMA04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cg/Sasmor04,
author = {Joshua C. Sasmor},
title = {Fractals for functions with rational exponent},
journal = {Comput. Graph.},
volume = {28},
number = {4},
pages = {601--615},
year = {2004},
url = {https://doi.org/10.1016/j.cag.2004.04.014},
doi = {10.1016/J.CAG.2004.04.014},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cg/Sasmor04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dam/Kolpakov04,
author = {Roman M. Kolpakov},
title = {Criterion of generativeness of sets of rational probabilities by a
class of Boolean functions},
journal = {Discret. Appl. Math.},
volume = {135},
number = {1-3},
pages = {125--142},
year = {2004},
url = {https://doi.org/10.1016/S0166-218X(02)00300-1},
doi = {10.1016/S0166-218X(02)00300-1},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dam/Kolpakov04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/isci/DuanWT04,
author = {Qi Duan and
Liqiu Wang and
Edward H. Twizell},
title = {A new bivariate rational interpolation based on function values},
journal = {Inf. Sci.},
volume = {166},
number = {1-4},
pages = {181--191},
year = {2004},
url = {https://doi.org/10.1016/j.ins.2003.12.001},
doi = {10.1016/J.INS.2003.12.001},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/isci/DuanWT04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Garcia04,
author = {Zebenzu{\'{\i}} Garc{\'{\i}}a},
title = {On the convergence of certain sequences of rational approximants to
meromorphic functions in several variables},
journal = {J. Approx. Theory},
volume = {130},
number = {2},
pages = {99--112},
year = {2004},
url = {https://doi.org/10.1016/j.jat.2004.06.010},
doi = {10.1016/J.JAT.2004.06.010},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Garcia04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Vecchia04,
author = {Biancamaria Della Vecchia},
title = {Direct and converse results for the weighted rational approximation
of functions with inner singularities},
journal = {J. Approx. Theory},
volume = {126},
number = {1},
pages = {16--35},
year = {2004},
url = {https://doi.org/10.1016/j.jat.2003.12.001},
doi = {10.1016/J.JAT.2003.12.001},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Vecchia04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Wielonsky04,
author = {Franck Wielonsky},
title = {Riemann-Hilbert analysis and uniform convergence of rational interpolants
to the exponential function},
journal = {J. Approx. Theory},
volume = {131},
number = {1},
pages = {100--148},
year = {2004},
url = {https://doi.org/10.1016/j.jat.2004.07.004},
doi = {10.1016/J.JAT.2004.07.004},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Wielonsky04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/LoeraHHHSY04,
author = {Jes{\'{u}}s A. De Loera and
David Haws and
Raymond Hemmecke and
Peter Huggins and
Bernd Sturmfels and
Ruriko Yoshida},
title = {Short rational functions for toric algebra and applications},
journal = {J. Symb. Comput.},
volume = {38},
number = {2},
pages = {959--973},
year = {2004},
url = {https://doi.org/10.1016/j.jsc.2004.02.001},
doi = {10.1016/J.JSC.2004.02.001},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/LoeraHHHSY04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/BaeJA04,
author = {Sunghan Bae and
Hwanyup Jung and
Jaehyun Ahn},
title = {Class numbers of some abelian extensions of rational function fields},
journal = {Math. Comput.},
volume = {73},
number = {245},
pages = {377--386},
year = {2004},
url = {https://doi.org/10.1090/S0025-5718-03-01528-X},
doi = {10.1090/S0025-5718-03-01528-X},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/BaeJA04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pr/ZhouG04,
author = {Jie Zhou and
Jinwei Gu},
title = {Modeling orientation fields of fingerprints with rational complex
functions},
journal = {Pattern Recognit.},
volume = {37},
number = {2},
pages = {389--391},
year = {2004},
url = {https://doi.org/10.1016/S0031-3203(03)00186-9},
doi = {10.1016/S0031-3203(03)00186-9},
timestamp = {Wed, 16 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pr/ZhouG04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigpro/VidalBF04,
author = {Josep Vidal and
Antonio Bonafonte and
Natalia Fern{\'{a}}ndez},
title = {Rational characteristic functions and Markov chains: application to
modeling probability density functions},
journal = {Signal Process.},
volume = {84},
number = {12},
pages = {2287--2296},
year = {2004},
url = {https://doi.org/10.1016/j.sigpro.2004.07.023},
doi = {10.1016/J.SIGPRO.2004.07.023},
timestamp = {Sat, 22 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/sigpro/VidalBF04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/Nagamune04,
author = {Ryozo Nagamune},
title = {A shaping limitation of rational sensitivity functions with a degree
constraint},
journal = {{IEEE} Trans. Autom. Control.},
volume = {49},
number = {2},
pages = {296--300},
year = {2004},
url = {https://doi.org/10.1109/TAC.2003.822841},
doi = {10.1109/TAC.2003.822841},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/Nagamune04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/ZhaoQ04,
author = {Xiaodong Zhao and
Li Qiu},
title = {Solutions to Nehari and Hankel approximation problems using orthonormal
rational functions},
booktitle = {Proceedings of the 2004 American Control Conference, {ACC} 2004, Boston,
MA, USA, June 30 - July 2, 2004},
pages = {102--107},
publisher = {{IEEE}},
year = {2004},
url = {https://doi.org/10.23919/ACC.2004.1383587},
doi = {10.23919/ACC.2004.1383587},
timestamp = {Thu, 24 Nov 2022 09:21:27 +0100},
biburl = {https://dblp.org/rec/conf/amcc/ZhaoQ04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ipco/LoeraHHHY04,
author = {Jes{\'{u}}s A. De Loera and
David Haws and
Raymond Hemmecke and
Peter Huggins and
Ruriko Yoshida},
editor = {George L. Nemhauser and
Daniel Bienstock},
title = {Three Kinds of Integer Programming Algorithms Based on Barvinok's
Rational Functions},
booktitle = {Integer Programming and Combinatorial Optimization, 10th International
{IPCO} Conference, New York, NY, USA, June 7-11, 2004, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3064},
pages = {244--255},
publisher = {Springer},
year = {2004},
url = {https://doi.org/10.1007/978-3-540-25960-2\_19},
doi = {10.1007/978-3-540-25960-2\_19},
timestamp = {Tue, 14 May 2019 10:00:50 +0200},
biburl = {https://dblp.org/rec/conf/ipco/LoeraHHHY04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iscas/HuangLH04,
author = {Dongliang Huang and
Henry Leung and
Xinping Huang},
title = {A rational function based predistorter for high power amplifier},
booktitle = {Proceedings of the 2004 International Symposium on Circuits and Systems,
{ISCAS} 2004, Vancouver, BC, Canada, May 23-26, 2004},
pages = {1040--1043},
publisher = {{IEEE}},
year = {2004},
url = {https://doi.org/10.1109/ISCAS.2004.1328376},
doi = {10.1109/ISCAS.2004.1328376},
timestamp = {Wed, 16 Oct 2019 14:14:49 +0200},
biburl = {https://dblp.org/rec/conf/iscas/HuangLH04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/metmbs/LinCCT04,
author = {Hsuan{-}Hung Lin and
Yung{-}fu Chen and
Tainsong Chen and
Tze{-}Tung Tsai},
editor = {Faramarz Valafar and
Homayoun Valafar},
title = {Piecewise Fittings of the Saccadic Velocity Profiles Using the Rational
Power Functions},
booktitle = {Proceedings of the International Conference on Mathematics and Engineering
Techniques in Medicine and Biological Scienes, {METMBS} '04, June
21-24, 2004, Las Vegas, Nevada, {USA}},
pages = {486--489},
publisher = {{CSREA} Press},
year = {2004},
timestamp = {Thu, 23 Jun 2016 15:53:27 +0200},
biburl = {https://dblp.org/rec/conf/metmbs/LinCCT04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/romoco/TrzcielinskiD04,
author = {Stefan Trzcielinski and
Arkadiusz Dymek},
editor = {Krzysztof Kozlowski},
title = {The rationality of virtual realization of organizational functions},
booktitle = {Proceedings of the Fourth International Workshop on Robot Motion and
Control, RoMoCo 2004, Pozna{\'{n}}, Poland, June 17-20, 2004},
pages = {363--370},
publisher = {{IEEE}},
year = {2004},
url = {https://doi.org/10.1109/ROMOCO.2004.240588},
doi = {10.1109/ROMOCO.2004.240588},
timestamp = {Wed, 16 Oct 2019 14:14:48 +0200},
biburl = {https://dblp.org/rec/conf/romoco/TrzcielinskiD04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:journals/entcs/Rettinger05,
author = {Robert Rettinger},
editor = {Vasco Brattka and
Ludwig Staiger and
Klaus Weihrauch},
title = {A Fast Algorithm for Julia Sets of Hyperbolic Rational Functions},
booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, {CCA} 2004, Wittenberg, Germany, August 16-20, 2004},
series = {Electronic Notes in Theoretical Computer Science},
volume = {120},
pages = {145--157},
publisher = {Elsevier},
year = {2004},
url = {https://doi.org/10.1016/j.entcs.2004.06.041},
doi = {10.1016/J.ENTCS.2004.06.041},
timestamp = {Fri, 09 Dec 2022 13:20:45 +0100},
biburl = {https://dblp.org/rec/journals/entcs/Rettinger05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/Le03,
author = {Ha Q. Le},
title = {A direct algorithm to construct the minimal \emph{Z}-pairs for rational
functions},
journal = {Adv. Appl. Math.},
volume = {30},
number = {1-2},
pages = {137--159},
year = {2003},
url = {https://doi.org/10.1016/S0196-8858(02)00529-8},
doi = {10.1016/S0196-8858(02)00529-8},
timestamp = {Wed, 07 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aam/Le03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/Ran03,
author = {Andr{\'{e}} C. M. Ran},
title = {Necessary and sufficient conditions for existence of J-spectral factorization
for para-Hermitian rational matrix functions},
journal = {Autom.},
volume = {39},
number = {11},
pages = {1935--1939},
year = {2003},
url = {https://doi.org/10.1016/S0005-1098(03)00201-2},
doi = {10.1016/S0005-1098(03)00201-2},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/automatica/Ran03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/MaleknejadM03,
author = {Khosrow Maleknejad and
Farshid Mirzaee},
title = {Numerical solution of linear Fredholm integral equations system by
rationalized Haar functions method},
journal = {Int. J. Comput. Math.},
volume = {80},
number = {11},
pages = {1397--1405},
year = {2003},
url = {https://doi.org/10.1080/0020716031000148214},
doi = {10.1080/0020716031000148214},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/MaleknejadM03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/DeunB03,
author = {Joris Van Deun and
Adhemar Bultheel},
title = {Ratio asymptotics for orthogonal rational functions on an interval},
journal = {J. Approx. Theory},
volume = {123},
number = {2},
pages = {162--172},
year = {2003},
url = {https://doi.org/10.1016/S0021-9045(03)00116-3},
doi = {10.1016/S0021-9045(03)00116-3},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/DeunB03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/FanW03,
author = {Ai{-}Hua Fan and
Jun Wu},
title = {Approximation orders of formal Laurent series by Oppenheim rational
functions},
journal = {J. Approx. Theory},
volume = {121},
number = {2},
pages = {269--286},
year = {2003},
url = {https://doi.org/10.1016/S0021-9045(02)00064-3},
doi = {10.1016/S0021-9045(02)00064-3},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/FanW03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jc/BultheelGHN03,
author = {Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {Orthogonal rational functions and quadrature on the real half line},
journal = {J. Complex.},
volume = {19},
number = {3},
pages = {212--230},
year = {2003},
url = {https://doi.org/10.1016/S0885-064X(03)00002-5},
doi = {10.1016/S0885-064X(03)00002-5},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jc/BultheelGHN03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jgo/Neumaier03,
author = {Arnold Neumaier},
title = {Rational Functions with Prescribed Global and Local Minimizers},
journal = {J. Glob. Optim.},
volume = {25},
number = {2},
pages = {175--181},
year = {2003},
url = {https://doi.org/10.1023/A:1021949202565},
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@article{DBLP:journals/kybernetika/Cuninghame-Green03,
author = {Raymond A. Cuninghame{-}Green},
title = {Rational algebra and {MM} functions},
journal = {Kybernetika},
volume = {39},
number = {2},
pages = {123--128},
year = {2003},
url = {http://www.kybernetika.cz/content/2003/2/123},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/kybernetika/Cuninghame-Green03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mss/BandyopadhyayS03,
author = {Taradas Bandyopadhyay and
Kunal Sengupta},
title = {Intransitive indifference and rationalizability of choice functions
on general domains},
journal = {Math. Soc. Sci.},
volume = {46},
number = {3},
pages = {311--326},
year = {2003},
url = {https://doi.org/10.1016/S0165-4896(03)00039-8},
doi = {10.1016/S0165-4896(03)00039-8},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/na/Weniger03,
author = {Ernst Joachim Weniger},
title = {A Rational Approximant for the Digamma Function},
journal = {Numer. Algorithms},
volume = {33},
number = {1-4},
pages = {499--507},
year = {2003},
url = {https://doi.org/10.1023/A:1025517617217},
doi = {10.1023/A:1025517617217},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Weniger03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/scl/AlpayD03,
author = {Daniel Alpay and
Chen Dubi},
title = {A realization theorem for rational functions of several complex variables},
journal = {Syst. Control. Lett.},
volume = {49},
number = {3},
pages = {225--229},
year = {2003},
url = {https://doi.org/10.1016/S0167-6911(02)00326-2},
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}
@article{DBLP:journals/scl/GuchtB03,
author = {Patrick Van Gucht and
Adhemar Bultheel},
title = {State space representation for arbitrary orthogonal rational functions},
journal = {Syst. Control. Lett.},
volume = {49},
number = {2},
pages = {91--98},
year = {2003},
url = {https://doi.org/10.1016/S0167-6911(02)00303-1},
doi = {10.1016/S0167-6911(02)00303-1},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/scl/GuchtB03.bib},
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@article{DBLP:journals/siamrev/Wahlberg03,
author = {Bo Wahlberg},
title = {Orthogonal Rational Functions: {A} Transformation Analysis},
journal = {{SIAM} Rev.},
volume = {45},
number = {4},
pages = {689--705},
year = {2003},
url = {https://doi.org/10.1137/S00361445003766},
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timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Wahlberg03.bib},
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}
@article{DBLP:journals/tac/GuchtB03,
author = {Patrick Van Gucht and
Adhemar Bultheel},
title = {Orthogonal rational functions for system identification: numerical
aspects},
journal = {{IEEE} Trans. Autom. Control.},
volume = {48},
number = {4},
pages = {705--709},
year = {2003},
url = {https://doi.org/10.1109/TAC.2003.809761},
doi = {10.1109/TAC.2003.809761},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/GuchtB03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tkl/Cherkas03,
author = {Barry Cherkas},
title = {Finding Polynomial and Rational Function Turning Points in Precalculus},
journal = {Int. J. Comput. Math. Learn.},
volume = {8},
number = {2},
pages = {215--234},
year = {2003},
url = {https://doi.org/10.1023/B\%3AIJCO.0000003966.96403.3d},
doi = {10.1023/B\%3AIJCO.0000003966.96403.3D},
timestamp = {Tue, 19 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tkl/Cherkas03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/aaecc/NiederreiterS03,
author = {Harald Niederreiter and
Igor E. Shparlinski},
editor = {Marc P. C. Fossorier and
Tom H{\o}holdt and
Alain Poli},
title = {Dynamical Systems Generated by Rational Functions},
booktitle = {Applied Algebra, Algebraic Algorithms and Error-Correcting Codes,
15th International Symposium, AAECC-15, Toulouse, France, May 12-16,
2003, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {2643},
pages = {6--17},
publisher = {Springer},
year = {2003},
url = {https://doi.org/10.1007/3-540-44828-4\_2},
doi = {10.1007/3-540-44828-4\_2},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/aaecc/NiederreiterS03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/ZhaoQ03,
author = {Xiaodong Zhao and
Li Qiu},
title = {Orthonormal rational functions via the Jury table and their applications},
booktitle = {42nd {IEEE} Conference on Decision and Control, {CDC} 2003, Maui,
Hawaii, USA, December 9-12, 2003},
pages = {5265--5270},
publisher = {{IEEE}},
year = {2003},
url = {https://doi.org/10.1109/CDC.2003.1272474},
doi = {10.1109/CDC.2003.1272474},
timestamp = {Mon, 07 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cdc/ZhaoQ03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dm/AbramovL02,
author = {Sergei A. Abramov and
Ha Q. Le},
title = {A criterion for the applicability of Zeilberger's algorithm to rational
functions},
journal = {Discret. Math.},
volume = {259},
number = {1-3},
pages = {1--17},
year = {2002},
url = {https://doi.org/10.1016/S0012-365X(02)00442-9},
doi = {10.1016/S0012-365X(02)00442-9},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dm/AbramovL02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/Luo02,
author = {Xiao Luo},
title = {A new approach to sum-fuzzy rational choice functions},
journal = {Fuzzy Sets Syst.},
volume = {127},
number = {2},
pages = {241--246},
year = {2002},
url = {https://doi.org/10.1016/S0165-0114(01)00065-3},
doi = {10.1016/S0165-0114(01)00065-3},
timestamp = {Sun, 21 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fss/Luo02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/RazzaghiO02,
author = {Mohsen Razzaghi and
Yadollah Ordokhani},
title = {A Rationalized Haar Functions Method for Nonlinear Fredholm-hammerstein
Integral Equations},
journal = {Int. J. Comput. Math.},
volume = {79},
number = {3},
pages = {333--343},
year = {2002},
url = {https://doi.org/10.1080/00207160211932},
doi = {10.1080/00207160211932},
timestamp = {Fri, 15 Sep 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/RazzaghiO02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/KovachevaL02,
author = {Ralitza K. Kovacheva and
Julian Lawrynowicz},
title = {An Analogue of Montel's Theorem for Rational Functions of Best L\({}_{\mbox{p}}\)-
Approximation},
journal = {J. Approx. Theory},
volume = {115},
number = {1},
pages = {56--71},
year = {2002},
url = {https://doi.org/10.1006/jath.2001.3634},
doi = {10.1006/JATH.2001.3634},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/KovachevaL02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcamd/RienzoGM02,
author = {Francesca De Rienzo and
Guy H. Grant and
Maria Cristina Menziani},
title = {Theoretical descriptors for the quantitative rationalisation of plastocyanin
mutant functional propertiess},
journal = {J. Comput. Aided Mol. Des.},
volume = {16},
number = {7},
pages = {501--509},
year = {2002},
url = {https://doi.org/10.1023/A:1021299214149},
doi = {10.1023/A:1021299214149},
timestamp = {Thu, 16 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcamd/RienzoGM02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/GutierrezRS02,
author = {Jaime Gutierrez and
Rosario Rubio San Miguel and
David Sevilla},
title = {On Multivariate Rational Function Decomposition},
journal = {J. Symb. Comput.},
volume = {33},
number = {5},
pages = {545--562},
year = {2002},
url = {https://doi.org/10.1006/jsco.2000.0529},
doi = {10.1006/JSCO.2000.0529},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/GutierrezRS02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/BorosM02,
author = {George Boros and
Victor H. Moll},
title = {Landen transformations and the integration of rational functions},
journal = {Math. Comput.},
volume = {71},
number = {238},
pages = {649--668},
year = {2002},
url = {https://doi.org/10.1090/S0025-5718-01-01347-3},
doi = {10.1090/S0025-5718-01-01347-3},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/BorosM02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mss/Aleskerov02,
author = {Fuad Aleskerov},
title = {Binary representation of choice rationalizable by a utility function
with an additive non-negative error function},
journal = {Math. Soc. Sci.},
volume = {43},
number = {2},
pages = {177--185},
year = {2002},
url = {https://doi.org/10.1016/S0165-4896(01)00090-7},
doi = {10.1016/S0165-4896(01)00090-7},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mss/Aleskerov02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ndjfl/Zahidi02,
author = {Karim Zahidi},
title = {Hilbert's Tenth Problem for Rings of Rational Functions},
journal = {Notre Dame J. Formal Log.},
volume = {43},
number = {3},
pages = {181--192},
year = {2002},
url = {https://doi.org/10.1305/ndjfl/1074290716},
doi = {10.1305/NDJFL/1074290716},
timestamp = {Thu, 21 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ndjfl/Zahidi02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigpro/BurtG02,
author = {Phillip M. S. Burt and
Max Gerken},
title = {On the uniqueness of stationary points in L\({}_{\mbox{2}}\) approximation
with a rational polyphase function},
journal = {Signal Process.},
volume = {82},
number = {11},
pages = {1707--1725},
year = {2002},
url = {https://doi.org/10.1016/S0165-1684(02)00332-8},
doi = {10.1016/S0165-1684(02)00332-8},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/sigpro/BurtG02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/PergolaPR02,
author = {Elisa Pergola and
Renzo Pinzani and
Simone Rinaldi},
title = {Approximating algebraic functions by means of rational ones},
journal = {Theor. Comput. Sci.},
volume = {270},
number = {1-2},
pages = {643--657},
year = {2002},
url = {https://doi.org/10.1016/S0304-3975(01)00085-8},
doi = {10.1016/S0304-3975(01)00085-8},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/PergolaPR02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/Prieur02,
author = {Christophe Prieur},
title = {How to decide continuity of rational functions on infinite words},
journal = {Theor. Comput. Sci.},
volume = {276},
number = {1-2},
pages = {445--447},
year = {2002},
url = {https://doi.org/10.1016/S0304-3975(01)00307-3},
doi = {10.1016/S0304-3975(01)00307-3},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/Prieur02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/igarss/SohnPY02,
author = {Hong{-}Gyoo Sohn and
Choung{-}Hwan Park and
Hwan{-}Hee Yoo},
title = {Surface reconstruction using terrain-dependent rational function model},
booktitle = {{IEEE} International Geoscience and Remote Sensing Symposium, {IGARSS}
2002, Toronto, Ontario, Canada, 24-28 June 2002},
pages = {3498--3500},
publisher = {{IEEE}},
year = {2002},
url = {https://doi.org/10.1109/IGARSS.2002.1027228},
doi = {10.1109/IGARSS.2002.1027228},
timestamp = {Wed, 16 Oct 2019 14:14:53 +0200},
biburl = {https://dblp.org/rec/conf/igarss/SohnPY02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/issac/Le02,
author = {Ha Q. Le},
editor = {Teo Mora},
title = {Simplification of definite sums of rational functions by creative
symmetrizing method},
booktitle = {Symbolic and Algebraic Computation, International Symposium {ISSAC}
2002, Lille, France, July 7-10, 2002, Proceedings},
pages = {161--167},
publisher = {{ACM}},
year = {2002},
url = {https://doi.org/10.1145/780506.780527},
doi = {10.1145/780506.780527},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/Le02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/MateraS02,
author = {Guillermo Matera and
Alexandre Sedoglavic},
editor = {Teo Mora},
title = {The differential Hilbert function of a differential rational mapping
can be computed in polynomial time},
booktitle = {Symbolic and Algebraic Computation, International Symposium {ISSAC}
2002, Lille, France, July 7-10, 2002, Proceedings},
pages = {184--191},
publisher = {{ACM}},
year = {2002},
url = {https://doi.org/10.1145/780506.780530},
doi = {10.1145/780506.780530},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/MateraS02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/BarcucciLFR01,
author = {Elena Barcucci and
Alberto Del Lungo and
Andrea Frosini and
Simone Rinaldi},
title = {A Technology for Reverse-Engineering a Combinatorial Problem from
a Rational Generating Function},
journal = {Adv. Appl. Math.},
volume = {26},
number = {2},
pages = {129--153},
year = {2001},
url = {https://doi.org/10.1006/aama.2000.0711},
doi = {10.1006/AAMA.2000.0711},
timestamp = {Fri, 27 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/aam/BarcucciLFR01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/RazzaghiO01,
author = {Mohsen Razzaghi and
Yadollah Ordokhani},
title = {An application of rationalized Haar functions for variational problems},
journal = {Appl. Math. Comput.},
volume = {122},
number = {3},
pages = {353--364},
year = {2001},
url = {https://doi.org/10.1016/S0096-3003(00)00050-3},
doi = {10.1016/S0096-3003(00)00050-3},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/RazzaghiO01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cagd/XuHB01,
author = {Guoliang Xu and
Hongci Huang and
Chandrajit L. Bajaj},
title = {C\({}_{\mbox{1}}\) modeling with A-patches from rational trivariate
functions},
journal = {Comput. Aided Geom. Des.},
volume = {18},
number = {3},
pages = {221--243},
year = {2001},
url = {https://doi.org/10.1016/S0167-8396(01)00018-8},
doi = {10.1016/S0167-8396(01)00018-8},
timestamp = {Sat, 22 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cagd/XuHB01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ijns/Cho01,
author = {Seongyun Cho},
title = {Modelling and Prediction for Chaotic {FIR} Laser Attractor Using Rational
Function Neural Network},
journal = {Int. J. Neural Syst.},
volume = {11},
number = {1},
pages = {89--99},
year = {2001},
url = {https://doi.org/10.1142/S0129065701000527},
doi = {10.1142/S0129065701000527},
timestamp = {Wed, 14 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ijns/Cho01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/BaratchartSW01,
author = {Laurent Baratchart and
Herbert Stahl and
Franck Wielonsky},
title = {Asymptotic Error Estimates for {L2} Best Rational Approximants to
Markov Functions},
journal = {J. Approx. Theory},
volume = {108},
number = {1},
pages = {53--96},
year = {2001},
url = {https://doi.org/10.1006/jath.2000.3515},
doi = {10.1006/JATH.2000.3515},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/BaratchartSW01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jat/Gustafsson01,
author = {Anders Gustafsson},
title = {Rational and Polynomial Interpolation of Analytic Functions with Restricted
Growth},
journal = {J. Approx. Theory},
volume = {112},
number = {1},
pages = {61--72},
year = {2001},
url = {https://doi.org/10.1006/jath.2001.3592},
doi = {10.1006/JATH.2001.3592},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Gustafsson01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/LevinS01,
author = {A. L. Levin and
Edward B. Saff},
title = {The Distribution of Zeros and Poles of Asymptotically Extremal Rational
Functions for Zolotarev's Problem},
journal = {J. Approx. Theory},
volume = {110},
number = {1},
pages = {88--108},
year = {2001},
url = {https://doi.org/10.1006/jath.2000.3551},
doi = {10.1006/JATH.2000.3551},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/LevinS01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jat/Wielonsky01,
author = {Franck Wielonsky},
title = {Rational Approximation to the Exponential Function with Complex Conjugate
Interpolation Points},
journal = {J. Approx. Theory},
volume = {111},
number = {2},
pages = {344--368},
year = {2001},
url = {https://doi.org/10.1006/jath.2001.3581},
doi = {10.1006/JATH.2001.3581},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jat/Wielonsky01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/Diaz-TocaG01,
author = {Gema M. Diaz{-}Toca and
Laureano Gonz{\'{a}}lez{-}Vega},
title = {Squarefree Decomposition of Univariate Polynomials Depending on a
Parameter. Application to the Integration of Parametric Rational Functions},
journal = {J. Symb. Comput.},
volume = {32},
number = {3},
pages = {191--209},
year = {2001},
url = {https://doi.org/10.1006/jsco.2001.0471},
doi = {10.1006/JSCO.2001.0471},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/Diaz-TocaG01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/kybernetika/RazzaghiO01,
author = {Mohsen Razzaghi and
Yadollah Ordokhani},
title = {Solution for a classical problem in the calculus of variations via
rationalized Haar functions},
journal = {Kybernetika},
volume = {37},
number = {5},
pages = {575--583},
year = {2001},
url = {http://www.kybernetika.cz/content/2001/5/575},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/kybernetika/RazzaghiO01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/Glader01,
author = {Christer Glader},
title = {A method for rational Chebyshev approximation of rational functions
on the unit disk and on the unit interval},
journal = {Numer. Algorithms},
volume = {26},
number = {2},
pages = {151--165},
year = {2001},
url = {https://doi.org/10.1023/A:1016636532753},
doi = {10.1023/A:1016636532753},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Glader01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/pcs/Le01,
author = {Ha Q. Le},
title = {On the q-Analogue of Zeilberger's Algorithm to Rational Functions},
journal = {Program. Comput. Softw.},
volume = {27},
number = {1},
pages = {35--42},
year = {2001},
url = {https://doi.org/10.1023/A:1007186703355},
doi = {10.1023/A:1007186703355},
timestamp = {Sun, 06 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pcs/Le01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamco/HanzonO01,
author = {Bernard Hanzon and
Raimund J. Ober},
title = {A State-Space Calculus for Rational Probability Density Functions
and Applications to Non-Gaussian Filtering},
journal = {{SIAM} J. Control. Optim.},
volume = {40},
number = {3},
pages = {724--740},
year = {2001},
url = {https://doi.org/10.1137/S036301299731610X},
doi = {10.1137/S036301299731610X},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamco/HanzonO01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tamm/SmileyCWA01,
author = {Leonard Smiley and
David Callan and
David M. Wells and
Sa{\"{\i}}d Amghibech},
title = {A Rational Generating Function for Relative Divisors: 10750},
journal = {Am. Math. Mon.},
volume = {108},
number = {7},
pages = {670},
year = {2001},
url = {http://www.jstor.org/stable/2695285},
timestamp = {Thu, 18 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tamm/SmileyCWA01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tcs/Prieur01,
author = {Christophe Prieur},
title = {How to decide continuity of rational functions on infinite words},
journal = {Theor. Comput. Sci.},
volume = {250},
number = {1-2},
pages = {71--82},
year = {2001},
url = {https://doi.org/10.1016/S0304-3975(99)00115-2},
doi = {10.1016/S0304-3975(99)00115-2},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/Prieur01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/amcc/BaiW01,
author = {Er{-}Wei Bai and
Ying{-}Qing Wu},
title = {Zero distribution of sampled systems with non-rational transfer functions},
booktitle = {American Control Conference, {ACC} 2001, Arlington, VA, USA, 25-27
June, 2001},
pages = {2050--2055},
publisher = {{IEEE}},
year = {2001},
url = {https://doi.org/10.1109/ACC.2001.946045},
doi = {10.1109/ACC.2001.946045},
timestamp = {Wed, 05 Jan 2022 10:14:49 +0100},
biburl = {https://dblp.org/rec/conf/amcc/BaiW01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/icassp/HasanH01a,
author = {Jawad A. K. Hasan and
Mohammed A. Hasan},
title = {Rational and radical fixed point functions for the eigenvalue problem
and polynomials},
booktitle = {{IEEE} International Conference on Acoustics, Speech, and Signal Processing,
{ICASSP} 2001, 7-11 May, 2001, Salt Palace Convention Center, Salt
Lake City, Utah, USA, Proceedings},
pages = {1077--1080},
publisher = {{IEEE}},
year = {2001},
url = {https://doi.org/10.1109/ICASSP.2001.941106},
doi = {10.1109/ICASSP.2001.941106},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icassp/HasanH01a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/issac/Gemignani01,
author = {Luca Gemignani},
editor = {Erich L. Kaltofen and
Gilles Villard},
title = {A generalized Graeffe's iteration for evaluating polynomials and rational
functions},
booktitle = {Proceedings of the 2001 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} 2001, {ORCCA} {\&} University of Western
Ontario, London, Ontario, Canada, July 22-25, 2001},
pages = {143--149},
publisher = {{ACM}},
year = {2001},
url = {https://doi.org/10.1145/384101.384122},
doi = {10.1145/384101.384122},
timestamp = {Mon, 03 Apr 2023 17:23:32 +0200},
biburl = {https://dblp.org/rec/conf/issac/Gemignani01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/robocup/Obst01,
author = {Oliver Obst},
editor = {Andreas Birk and
Silvia Coradeschi and
Satoshi Tadokoro},
title = {Specifying Rational Agents with Statecharts and Utility Functions},
booktitle = {RoboCup 2001: Robot Soccer World Cup {V}},
series = {Lecture Notes in Computer Science},
volume = {2377},
pages = {173--182},
publisher = {Springer},
year = {2001},
url = {https://doi.org/10.1007/3-540-45603-1\_18},
doi = {10.1007/3-540-45603-1\_18},
timestamp = {Tue, 14 May 2019 10:00:53 +0200},
biburl = {https://dblp.org/rec/conf/robocup/Obst01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/sip/BabicV01,
author = {Hrvoje Babic and
Mladen Vucic},
editor = {M. H. Hamza},
title = {Rational transfer functions with minimum timebandwidth products},
booktitle = {Signal and Image Processing {(SIP} 2001), Proceedings of the {IASTED}
International Conference, 2001, Honolulu, HI, {USA}},
pages = {380--385},
publisher = {{IASTED/ACTA} Press},
year = {2001},
timestamp = {Fri, 08 Jul 2011 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/sip/BabicV01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/sma/ElberK01,
author = {Gershon Elber and
Myung{-}Soo Kim},
editor = {David C. Anderson and
Kunwoo Lee},
title = {Geometric constraint solver using multivariate rational spline functions},
booktitle = {Sixth {ACM} Symposium on Solid Modeling and Applications, Sheraton
Inn, Ann Arbor, Michigan, USA, June 4-8, 2001},
pages = {1--10},
publisher = {{ACM}},
year = {2001},
url = {https://doi.org/10.1145/376957.376958},
doi = {10.1145/376957.376958},
timestamp = {Tue, 06 Nov 2018 11:07:49 +0100},
biburl = {https://dblp.org/rec/conf/sma/ElberK01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Papamarkos00,
author = {Nikos Papamarkos},
title = {On the approximation of real rational functions via mixed-integer
linear programming},
journal = {Appl. Math. Comput.},
volume = {112},
number = {1},
pages = {113--124},
year = {2000},
url = {https://doi.org/10.1016/S0096-3003(99)00052-1},
doi = {10.1016/S0096-3003(99)00052-1},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Papamarkos00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/bc/KimKCP00,
author = {Hyun{-}Sool Kim and
Taek{-}Soo Kim and
Yoon Ho Choi and
Sang{-}Hui Park},
title = {The prediction of {EEG} signals using a feedback-structured adaptive
rational function filter},
journal = {Biol. Cybern.},
volume = {83},
number = {2},
pages = {131--138},
year = {2000},
url = {https://doi.org/10.1007/s004220000154},
doi = {10.1007/S004220000154},
timestamp = {Thu, 17 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/bc/KimKCP00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/KulshreshthaS00,
author = {Pankaj Kulshreshtha and
B. Shekar},
title = {Interrelationships among fuzzy preference-based choice functions and
significance of rationality conditions: {A} taxonomic and intuitive
perspective},
journal = {Fuzzy Sets Syst.},
volume = {109},
number = {3},
pages = {429--445},
year = {2000},
url = {https://doi.org/10.1016/S0165-0114(98)00059-1},
doi = {10.1016/S0165-0114(98)00059-1},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fss/KulshreshthaS00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/Kirrinnis00,
author = {Peter Kirrinnis},
title = {Fast Computation of Contour Integrals of Rational Functions},
journal = {J. Complex.},
volume = {16},
number = {1},
pages = {181--212},
year = {2000},
url = {https://doi.org/10.1006/jcom.1999.0531},
doi = {10.1006/JCOM.1999.0531},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jc/Kirrinnis00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/ElekesR00,
author = {Gy{\"{o}}rgy Elekes and
Lajos R{\'{o}}nyai},
title = {A Combinatorial Problem on Polynomials and Rational Functions},
journal = {J. Comb. Theory, Ser. {A}},
volume = {89},
number = {1},
pages = {1--20},
year = {2000},
url = {https://doi.org/10.1006/jcta.1999.2976},
doi = {10.1006/JCTA.1999.2976},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jct/ElekesR00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jet/KellyS00,
author = {David L. Kelly and
Jamsheed Shorish},
title = {Stability of Functional Rational Expectations Equilibria},
journal = {J. Econ. Theory},
volume = {95},
number = {2},
pages = {215--250},
year = {2000},
url = {https://doi.org/10.1006/jeth.2000.2690},
doi = {10.1006/JETH.2000.2690},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jet/KellyS00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/FangWC00,
author = {Weiwu Fang and
Tianjiao Wu and
Jianping Chen},
title = {An Algorithm of Global Optimization for Rational Functions with Rational
Constraints},
journal = {J. Glob. Optim.},
volume = {18},
number = {3},
pages = {211--218},
year = {2000},
url = {https://doi.org/10.1023/A:1008318925663},
doi = {10.1023/A:1008318925663},
timestamp = {Fri, 11 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/FangWC00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcss/GombaniO00,
author = {Andrea Gombani and
Martine Olivi},
title = {A New Parametrization of Rational Inner Functions of Fixed Degree:
Schur Parameters and Realizations},
journal = {Math. Control. Signals Syst.},
volume = {13},
number = {2},
pages = {156--177},
year = {2000},
url = {https://doi.org/10.1007/PL00009864},
doi = {10.1007/PL00009864},
timestamp = {Thu, 10 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mcss/GombaniO00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/Shekhtman00,
author = {Boris Shekhtman},
title = {On the density principle for rational functions},
journal = {Numer. Algorithms},
volume = {25},
number = {1-4},
pages = {341--346},
year = {2000},
url = {https://doi.org/10.1023/A:1016669325910},
doi = {10.1023/A:1016669325910},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Shekhtman00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/GautschiGC00,
author = {Walter Gautschi and
Laura Gori and
Maria Laura Lo Cascio},
title = {Quadrature rules for rational functions},
journal = {Numerische Mathematik},
volume = {86},
number = {4},
pages = {617--633},
year = {2000},
url = {https://doi.org/10.1007/PL00005412},
doi = {10.1007/PL00005412},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/GautschiGC00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/rc/KaiN00,
author = {Hiroshi Kai and
Matu{-}Tarow Noda},
title = {Hybrid Rational Function Approximation and Its Accuracy Analysis},
journal = {Reliab. Comput.},
volume = {6},
number = {4},
pages = {429--438},
year = {2000},
url = {https://doi.org/10.1023/A:1009906513972},
doi = {10.1023/A:1009906513972},
timestamp = {Thu, 16 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/rc/KaiN00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siammax/BernsteinL00,
author = {Daniel S. Bernstein and
Charles F. Van Loan},
title = {Rational Matrix Functions and Rank-1 Updates},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {22},
number = {1},
pages = {145--154},
year = {2000},
url = {https://doi.org/10.1137/S0895479898333636},
doi = {10.1137/S0895479898333636},
timestamp = {Tue, 26 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/BernsteinL00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BaillyT00,
author = {B. Le Bailly and
Jean{-}Pierre Thiran},
title = {Optimal Rational Functions for the Generalized Zolotarev Problem in
the Complex Plane},
journal = {{SIAM} J. Numer. Anal.},
volume = {38},
number = {5},
pages = {1409--1424},
year = {2000},
url = {https://doi.org/10.1137/S0036142999360688},
doi = {10.1137/S0036142999360688},
timestamp = {Mon, 15 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/BaillyT00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/HoogHH00,
author = {Thomas J. de Hoog and
Peter S. C. Heuberger and
Paul M. J. Van den Hof},
title = {A general transform theory of rational orthonormal basis function
expansions},
booktitle = {39th {IEEE} Conference on Decision and Control, {CDC} 2000, Sydney,
Australia, December 12-15, 2000},
pages = {4649--4654},
publisher = {{IEEE}},
year = {2000},
url = {https://doi.org/10.1109/CDC.2001.914661},
doi = {10.1109/CDC.2001.914661},
timestamp = {Thu, 31 Mar 2022 11:10:43 +0200},
biburl = {https://dblp.org/rec/conf/cdc/HoogHH00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/CattaniDS99,
author = {Eduardo Cattani and
Alicia Dickenstein and
Bernd Sturmfels},
title = {The search for rational A-hypergeometric functions},
journal = {{SIGSAM} Bull.},
volume = {33},
number = {3},
pages = {15},
year = {1999},
url = {https://doi.org/10.1145/347127.347197},
doi = {10.1145/347127.347197},
timestamp = {Mon, 18 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cca/CattaniDS99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/dcg/ConwayRS99,
author = {John H. Conway and
Charles Radin and
Lorenzo Sadun},
title = {On Angles Whose Squared Trigonometric Functions Are Rational},
journal = {Discret. Comput. Geom.},
volume = {22},
number = {3},
pages = {321--332},
year = {1999},
url = {https://doi.org/10.1007/PL00009463},
doi = {10.1007/PL00009463},
timestamp = {Thu, 12 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dcg/ConwayRS99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jsc/Muller-QuadeS99,
author = {J{\"{o}}rn M{\"{u}}ller{-}Quade and
Rainer Steinwandt},
title = {Basic Algorithms for Rational Function Fields},
journal = {J. Symb. Comput.},
volume = {27},
number = {2},
pages = {143--170},
year = {1999},
url = {https://doi.org/10.1006/jsco.1998.0246},
doi = {10.1006/JSCO.1998.0246},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/Muller-QuadeS99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jscic/Lether99,
author = {Frank G. Lether},
title = {Thiele Rational Interpolation for the Numerical Computation of the
Reversible Randles-Sevcik Function in Electrochemistry},
journal = {J. Sci. Comput.},
volume = {14},
number = {3},
pages = {259--274},
year = {1999},
url = {https://doi.org/10.1023/A:1023269502728},
doi = {10.1023/A:1023269502728},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/Lether99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/moc/CvijovicK99,
author = {Djurdje Cvijovic and
Jacek Klinowski},
title = {Values of the Legendre chi and Hurwitz zeta functions at rational
arguments},
journal = {Math. Comput.},
volume = {68},
number = {228},
pages = {1623--1630},
year = {1999},
url = {https://doi.org/10.1090/S0025-5718-99-01091-1},
doi = {10.1090/S0025-5718-99-01091-1},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/CvijovicK99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/moc/GekelerLW99,
author = {Ernst{-}Ulrich Gekeler and
Rita Leitl and
Bodo Wack},
title = {Zeta functions of a class of elliptic curves over a rational function
field of characteristic two},
journal = {Math. Comput.},
volume = {68},
number = {226},
pages = {823--833},
year = {1999},
url = {https://doi.org/10.1090/S0025-5718-99-01058-3},
doi = {10.1090/S0025-5718-99-01058-3},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/GekelerLW99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/na/Daras99,
author = {Nicholas J. Daras},
title = {Rational approximation to harmonic functions},
journal = {Numer. Algorithms},
volume = {20},
number = {4},
pages = {285--301},
year = {1999},
url = {https://doi.org/10.1023/A:1019172321704},
doi = {10.1023/A:1019172321704},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Daras99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/na/GallivanD99,
author = {Kyle A. Gallivan and
Paul Van Dooren},
title = {Rational approximations of pre-filtered transfer functions via the
Lanczos algorithm},
journal = {Numer. Algorithms},
volume = {20},
number = {4},
pages = {331--342},
year = {1999},
url = {https://doi.org/10.1023/A:1019168220795},
doi = {10.1023/A:1019168220795},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/GallivanD99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tac/DesbouvriesL99,
author = {Fran{\c{c}}ois Desbouvries and
Philippe Loubaton},
title = {On the identification of certain rational transfer functions from
truncated autocovariance sequences},
journal = {{IEEE} Trans. Autom. Control.},
volume = {44},
number = {5},
pages = {1078--1081},
year = {1999},
url = {https://doi.org/10.1109/9.763233},
doi = {10.1109/9.763233},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/DesbouvriesL99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tac/ShenWL99,
author = {Sy{-}Kang Shen and
Bor{-}Chyun Wang and
Tsu{-}Tian Lee},
title = {An improved algorithm for computing the boundary of parametric rational
functions},
journal = {{IEEE} Trans. Autom. Control.},
volume = {44},
number = {1},
pages = {227--231},
year = {1999},
url = {https://doi.org/10.1109/9.739151},
doi = {10.1109/9.739151},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/ShenWL99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/toms/Gautschi99a,
author = {Walter Gautschi},
title = {Algorithm 793: {GQRAT} - Gauss quadrature for rational functions},
journal = {{ACM} Trans. Math. Softw.},
volume = {25},
number = {2},
pages = {213--239},
year = {1999},
url = {https://doi.org/10.1145/317275.317282},
doi = {10.1145/317275.317282},
timestamp = {Tue, 16 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/toms/Gautschi99a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/dac/CoelhoPS99,
author = {Carlos P. Coelho and
Joel R. Phillips and
Lu{\'{\i}}s Miguel Silveira},
editor = {Mary Jane Irwin},
title = {Robust Rational Function Approximation Algorithm for Model Generation},
booktitle = {Proceedings of the 36th Conference on Design Automation, New Orleans,
LA, USA, June 21-25, 1999},
pages = {207--212},
publisher = {{ACM} Press},
year = {1999},
url = {https://doi.org/10.1145/309847.309915},
doi = {10.1145/309847.309915},
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Brett Ninness},
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@article{DBLP:journals/cg/DuanDPT98,
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author = {Qishi Du and
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Jonathan R. Partington and
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Riccardo March},
title = {Some properties of the asymptotic location of poles of Pade approximants
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@inproceedings{DBLP:conf/interspeech/Luo98,
author = {Xiaoqiang Luo},
title = {Growth transform of a sum of rational functions and its application
in estimating {HMM} parameters},
booktitle = {The 5th International Conference on Spoken Language Processing, Incorporating
The 7th Australian International Speech Science and Technology Conference,
Sydney Convention Centre, Sydney, Australia, 30th November - 4th December
1998},
publisher = {{ISCA}},
year = {1998},
url = {https://doi.org/10.21437/ICSLP.1998-831},
doi = {10.21437/ICSLP.1998-831},
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biburl = {https://dblp.org/rec/conf/interspeech/Luo98.bib},
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author = {Antje J. Petersen},
title = {Automatic sequences, rational functions and geometry},
school = {University of Bremen},
year = {1997},
url = {https://d-nb.info/952711710},
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author = {Carlos Mosquera and
Fernando P{\'{e}}rez{-}Gonz{\'{a}}lez},
title = {An algorithm for interpolation with positive rational functions on
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author = {Muhammad Sarfraz and
Muhammed Al{-}Mulhem and
Farooq Ashraf},
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year = {1997},
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author = {Thom Mulders},
title = {A Note on Subresultants and the Lazard/Rioboo/Trager Formula in Rational
Function Integration},
journal = {J. Symb. Comput.},
volume = {24},
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author = {Celina Pestano{-}Gabino and
Concepci{\'{o}}n Gonz{\'{a}}lez{-}Concepci{\'{o}}n},
title = {Matrix Pad{\'{e}} Approximation of rational functions},
journal = {Numer. Algorithms},
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biburl = {https://dblp.org/rec/journals/na/Pestano-GabinoG97.bib},
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author = {Irene Au and
Penelope Sanderson},
editor = {Steve Howard and
Judy Hammond and
Gitte Lindgaard},
title = {Functional Evolution of Software: FOCUs Model of Design Rationale},
booktitle = {Human-Computer Interaction, {INTERACT} '97, {IFIP} {TC13} Interantional
Conference on Human-Computer Interaction, 14th-18th July 1997, Sydney,
Australia},
series = {{IFIP} Conference Proceedings},
volume = {96},
pages = {604--605},
publisher = {Chapman {\&} Hall},
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author = {Asis Banerjee},
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Erik Hendriksen and
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author = {Wen{-}Hung Liao and
J. K. Aggarwal},
title = {Curve and surface interpolation using rational radial basis functions},
booktitle = {13th International Conference on Pattern Recognition, {ICPR} 1996,
Vienna, Austria, 25-19 August, 1996},
pages = {8--13},
publisher = {{IEEE} Computer Society},
year = {1996},
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Yagati N. Lakshman},
title = {Fast Computations in the Lattice of Polynomial Rational Function Fields},
booktitle = {Proceedings of the 1996 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '96, Zurich, Switzerland, July 24-26, 1996},
pages = {43--48},
publisher = {{ACM}},
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year = {1995},
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author = {Cesar Alonso and
Jaime Gutierrez and
Tom{\'{a}}s Recio},
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T. N. Subramaniam},
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author = {Uwe Helmke and
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author = {Nicholas Dudley Ward and
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title = {Rational wavelet decompositions of transfer functions in hardy-sobolev
classes},
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volume = {8},
number = {3},
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year = {1995},
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author = {A. G. Garcia and
Henning Stichtenoth},
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author = {Guillermo Matera},
editor = {G{\'{e}}rard D. Cohen and
Marc Giusti and
Teo Mora},
title = {Integration of Multivariate Rational Functions Given by Straight-Line
Programs},
booktitle = {Applied Algebra, Algebraic Algorithms and Error-Correcting Codes,
11th International Symposium, AAECC-11, Paris, France, July 17-22,
1995, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {948},
pages = {347--364},
publisher = {Springer},
year = {1995},
url = {https://doi.org/10.1007/3-540-60114-7\_27},
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author = {Douglas A. Cenzer and
William R. Moser},
editor = {Wolfgang Maass},
title = {Inductive Inference of Functions on the Rationals},
booktitle = {Proceedings of the Eigth Annual Conference on Computational Learning
Theory, {COLT} 1995, Santa Cruz, California, USA, July 5-8, 1995},
pages = {178--181},
publisher = {{ACM}},
year = {1995},
url = {https://doi.org/10.1145/225298.225319},
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timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
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author = {Sergei A. Abramov},
editor = {A. H. M. Levelt},
title = {Indefinite Sums of Rational Functions},
booktitle = {Proceedings of the 1995 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '95, Montreal, Canada, July 10-12, 1995},
pages = {303--308},
publisher = {{ACM}},
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author = {Ramamohan Paturi and
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@article{DBLP:journals/jct/Stroomer94,
author = {Jeffrey Stroomer},
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volume = {65},
number = {1},
pages = {79--116},
year = {1994},
timestamp = {Mon, 12 Jul 2004 01:00:00 +0200},
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@article{DBLP:journals/siammax/LuW94,
author = {Kai Sheng Lu and
Jia Ning Wei},
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volume = {15},
number = {1},
pages = {151--161},
year = {1994},
url = {https://doi.org/10.1137/s0895479891217941},
doi = {10.1137/S0895479891217941},
timestamp = {Sun, 13 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siammax/LuW94.bib},
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@article{DBLP:journals/sigpro/LeungLL94,
author = {Henry Leung and
Titus K. Y. Lo and
John Litva},
title = {Nonlinear adaptive signal processing based on rational function},
journal = {Signal Process.},
volume = {38},
number = {2},
pages = {153--168},
year = {1994},
url = {https://doi.org/10.1016/0165-1684(94)90136-8},
doi = {10.1016/0165-1684(94)90136-8},
timestamp = {Sat, 22 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/sigpro/LeungLL94.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tcs/HarjuKLT94,
author = {Tero Harju and
H. C. M. Kleijn and
Michel Latteux and
Alain Terlutte},
title = {Representation of Rational Functions with Prefix and Suffix Codings},
journal = {Theor. Comput. Sci.},
volume = {134},
number = {2},
pages = {403--413},
year = {1994},
url = {https://doi.org/10.1016/0304-3975(94)90245-3},
doi = {10.1016/0304-3975(94)90245-3},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/HarjuKLT94.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tsp/LeungH94,
author = {Henry Leung and
Simon Haykin},
title = {Detection and estimation using an adaptive rational function filter},
journal = {{IEEE} Trans. Signal Process.},
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number = {12},
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year = {1994},
url = {https://doi.org/10.1109/78.340773},
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timestamp = {Wed, 03 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tsp/LeungH94.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/iscas/SwamyR94,
author = {M. N. S. Swamy and
Leonid M. Roytman},
title = {Stability of Mutually Inverse Rational 2-D Digital Transfer Functions},
booktitle = {1994 {IEEE} International Symposium on Circuits and Systems, {ISCAS}
1994, London, England, UK, May 30 - June 2, 1994},
pages = {597--600},
publisher = {{IEEE}},
year = {1994},
url = {https://doi.org/10.1109/ISCAS.1994.409060},
doi = {10.1109/ISCAS.1994.409060},
timestamp = {Wed, 16 Oct 2019 14:14:49 +0200},
biburl = {https://dblp.org/rec/conf/iscas/SwamyR94.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computer/ChandrasekaranGI93,
author = {B. Chandrasekaran and
Ashok K. Goel and
Yumi Iwasaki},
title = {Functional Representation as Design Rationale},
journal = {Computer},
volume = {26},
number = {1},
pages = {48--56},
year = {1993},
url = {https://doi.org/10.1109/2.179157},
doi = {10.1109/2.179157},
timestamp = {Wed, 12 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/computer/ChandrasekaranGI93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ejc/Haiman93,
author = {Mark D. Haiman},
title = {Non-commutative Rational Power Series and Algebraic Generating Functions},
journal = {Eur. J. Comb.},
volume = {14},
number = {4},
pages = {335--339},
year = {1993},
url = {https://doi.org/10.1006/eujc.1993.1036},
doi = {10.1006/EUJC.1993.1036},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ejc/Haiman93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcta/CarlinC93,
author = {Herbert J. Carlin and
Pier Paolo Civalleri},
title = {On darlington's realization of matrix-valued non-rational functions
and the impossibility of selective flat gain},
journal = {Int. J. Circuit Theory Appl.},
volume = {21},
number = {4},
pages = {415--420},
year = {1993},
url = {https://doi.org/10.1002/cta.4490210410},
doi = {10.1002/CTA.4490210410},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcta/CarlinC93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/HansenJX93,
author = {Pierre Hansen and
Brigitte Jaumard and
Junjie Xiong},
title = {Decomposition and interval arithmetic applied to global minimization
of polynomial and rational functions},
journal = {J. Glob. Optim.},
volume = {3},
number = {4},
pages = {421--437},
year = {1993},
url = {https://doi.org/10.1007/BF01096413},
doi = {10.1007/BF01096413},
timestamp = {Fri, 11 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/HansenJX93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/neco/LeungH93,
author = {Henry Leung and
Simon Haykin},
title = {Rational Function Neural Network},
journal = {Neural Comput.},
volume = {5},
number = {6},
pages = {928--938},
year = {1993},
url = {https://doi.org/10.1162/neco.1993.5.6.928},
doi = {10.1162/NECO.1993.5.6.928},
timestamp = {Wed, 03 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/neco/LeungH93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamcomp/KarpinskiW93,
author = {Marek Karpinski and
Thorsten Werther},
title = {{VC} Dimension and Uniform Learnability of Sparse Polynomials and
Rational Functions},
journal = {{SIAM} J. Comput.},
volume = {22},
number = {6},
pages = {1276--1285},
year = {1993},
url = {https://doi.org/10.1137/0222076},
doi = {10.1137/0222076},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamcomp/KarpinskiW93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Blanchard93,
author = {Paul Blanchard},
title = {Iteration of Rational Functions (Alan F. Beardon)},
journal = {{SIAM} Rev.},
volume = {35},
number = {2},
pages = {310--312},
year = {1993},
url = {https://doi.org/10.1137/1035060},
doi = {10.1137/1035060},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Blanchard93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/BaggenstossK93,
author = {Paul M. Baggenstoss and
Ramdas Kumaresan},
title = {On the estimation of rational transfer functions from samples of the
power spectrum},
journal = {{IEEE} Trans. Signal Process.},
volume = {41},
number = {3},
pages = {1431--1435},
year = {1993},
url = {https://doi.org/10.1109/78.205750},
doi = {10.1109/78.205750},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tsp/BaggenstossK93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iscas/MikhaelY93a,
author = {Wasfy B. Mikhael and
Haoping Yu},
title = {Existence, uniqueness and convergence properties of a linear optimization
technique for two-dimensional signal and system modeling with rational
functions},
booktitle = {1993 {IEEE} International Symposium on Circuits and Systems, {ISCAS}
1993, Chicago, Illinois, USA, May 3-6, 1993},
pages = {323--326},
publisher = {{IEEE}},
year = {1993},
timestamp = {Wed, 16 Oct 2019 14:14:49 +0200},
biburl = {https://dblp.org/rec/conf/iscas/MikhaelY93a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/BronsteinS93,
author = {Manuel Bronstein and
Bruno Salvy},
editor = {Manuel Bronstein},
title = {Full Partial Fraction Decomposition of Rational Functions},
booktitle = {Proceedings of the 1993 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '93, Kiev, Ukraine, July 6-8, 1993},
pages = {157--160},
publisher = {{ACM}},
year = {1993},
url = {https://doi.org/10.1145/164081.164114},
doi = {10.1145/164081.164114},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/issac/BronsteinS93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ppsc/CalvettiGR93,
author = {Daniela Calvetti and
Efstratios Gallopoulos and
Lothar Reichel},
editor = {Richard F. Sincovec and
David E. Keyes and
Michael R. Leuze and
Linda R. Petzold and
Daniel A. Reed},
title = {Accuracy Control for Parallel Evaluation of Matrix Rational Functions},
booktitle = {Proceedings of the Sixth {SIAM} Conference on Parallel Processing
for Scientific Computing, {PPSC} 1993, Norfolk, Virginia, USA, March
22-24, 1993},
pages = {652--655},
publisher = {{SIAM}},
year = {1993},
timestamp = {Mon, 20 Mar 2017 14:21:45 +0100},
biburl = {https://dblp.org/rec/conf/ppsc/CalvettiGR93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ita/HarjuKL92,
author = {Tero Harju and
H. C. M. Kleijn and
Michel Latteux},
title = {Compositional representation of rational functions},
journal = {{RAIRO} Theor. Informatics Appl.},
volume = {26},
pages = {243--255},
year = {1992},
url = {https://doi.org/10.1051/ita/1992260302431},
doi = {10.1051/ITA/1992260302431},
timestamp = {Mon, 25 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ita/HarjuKL92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcss/ChuiLW92,
author = {Charles K. Chui and
Xin Li and
Joseph D. Ward},
title = {Rate of convergence of schmidt pairs and rational functions corresponding
to best approximants of truncated hankel operators},
journal = {Math. Control. Signals Syst.},
volume = {5},
number = {1},
pages = {67--79},
year = {1992},
url = {https://doi.org/10.1007/BF01211976},
doi = {10.1007/BF01211976},
timestamp = {Thu, 10 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mcss/ChuiLW92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/Bonan-HamadaJTM92,
author = {Catherine M. Bonan{-}Hamada and
William B. Jones and
W. J. Thron and
Arne Magnus},
title = {Para-orthogonal Laurent polynomials and associated sequences of rational
functions},
journal = {Numer. Algorithms},
volume = {3},
number = {1},
pages = {67--74},
year = {1992},
url = {https://doi.org/10.1007/BF02141916},
doi = {10.1007/BF02141916},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Bonan-HamadaJTM92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BultheelGHN92,
author = {Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {A Favard theorem for orthogonal rational functions on the unit circle},
journal = {Numer. Algorithms},
volume = {3},
number = {1},
pages = {81--89},
year = {1992},
url = {https://doi.org/10.1007/BF02141918},
doi = {10.1007/BF02141918},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BultheelGHN92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BultheelGHN92a,
author = {Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {A moment problem associated to rational Szeg{\H{o}} functions},
journal = {Numer. Algorithms},
volume = {3},
number = {1},
pages = {91--104},
year = {1992},
url = {https://doi.org/10.1007/BF02141919},
doi = {10.1007/BF02141919},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BultheelGHN92a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BultheelGHN92b,
author = {Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {Orthogonal rational functions and quadrature on the unit circle},
journal = {Numer. Algorithms},
volume = {3},
number = {1},
pages = {105--116},
year = {1992},
url = {https://doi.org/10.1007/BF02141920},
doi = {10.1007/BF02141920},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BultheelGHN92b.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BultheelGHN92c,
author = {Adhemar Bultheel and
Pablo Gonz{\'{a}}lez{-}Vera and
Erik Hendriksen and
Olav Nj{\aa}stad},
title = {The computation of orthogonal rational functions and their interpolating
properties},
journal = {Numer. Algorithms},
volume = {2},
number = {1},
pages = {85--114},
year = {1992},
url = {https://doi.org/10.1007/BF02142207},
doi = {10.1007/BF02142207},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BultheelGHN92c.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/Coleman92,
author = {John P. Coleman},
title = {Rational approximations for the cosine function; P-acceptability and
order},
journal = {Numer. Algorithms},
volume = {3},
number = {1},
pages = {143--158},
year = {1992},
url = {https://doi.org/10.1007/BF02141924},
doi = {10.1007/BF02141924},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Coleman92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/HayekGP92,
author = {N{\'{a}}cere Hayek and
Pablo Gonz{\'{a}}lez{-}Vera and
Francisco P{\'{e}}rez{-}Acosta},
title = {Rational approximation to Neumann series of Bessel functions},
journal = {Numer. Algorithms},
volume = {3},
number = {1},
pages = {235--244},
year = {1992},
url = {https://doi.org/10.1007/BF02141932},
doi = {10.1007/BF02141932},
timestamp = {Thu, 14 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/HayekGP92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/LawZRJ92,
author = {Alen George Law and
Chang Nian Zhang and
Ali Rezazadeh and
Lucas J{\'{o}}dar},
title = {Evaluation of a rational function},
journal = {Numer. Algorithms},
volume = {3},
number = {1},
pages = {265--271},
year = {1992},
url = {https://doi.org/10.1007/BF02141935},
doi = {10.1007/BF02141935},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/LawZRJ92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/BjornerR92,
author = {Anders Bj{\"{o}}rner and
Christophe Reutenauer},
title = {Rationality of the M{\"{o}}bius Function of Subword Order},
journal = {Theor. Comput. Sci.},
volume = {98},
number = {1},
pages = {53--63},
year = {1992},
url = {https://doi.org/10.1016/0304-3975(92)90379-T},
doi = {10.1016/0304-3975(92)90379-T},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/BjornerR92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/ChanH92,
author = {S. C. Chan and
Ka{-}Leung Ho},
title = {A new algorithm for arbitrary transformation of polynomial and rational
functions},
journal = {{IEEE} Trans. Signal Process.},
volume = {40},
number = {2},
pages = {456--460},
year = {1992},
url = {https://doi.org/10.1109/78.124959},
doi = {10.1109/78.124959},
timestamp = {Tue, 02 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tsp/ChanH92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ima-ms/Malosse92,
author = {J.{-}J. Malosse},
editor = {Robert B. Fisher},
title = {Parametrization of Implicit Elliptic Curves by Rational Functions},
booktitle = {Proceedings of the 5th {IMA} Conference on the Mathematics of Surfaces,
Edinburgh, UK, September 14-16, 1992},
pages = {357--383},
publisher = {Clarendon Press},
year = {1992},
timestamp = {Wed, 20 Jun 2018 17:53:20 +0200},
biburl = {https://dblp.org/rec/conf/ima-ms/Malosse92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/GutierrezR92,
author = {Jaime Gutierrez and
Tom{\'{a}}s Recio},
editor = {Paul S. Wang},
title = {A Practical Implementation of Two Rational Function Decomposition
Algorithms},
booktitle = {Proceedings of the 1992 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '92, Berkeley, CA, USA, July 27-29, 1992},
pages = {152--157},
publisher = {{ACM}},
year = {1992},
url = {https://doi.org/10.1145/143242.143298},
doi = {10.1145/143242.143298},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/GutierrezR92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/Kirrinnis92,
author = {Peter Kirrinnis},
editor = {Paul S. Wang},
title = {Fast Computation of Numerical Partial Fraction Decompositions and
Contour Integrals of Rational Functions},
booktitle = {Proceedings of the 1992 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '92, Berkeley, CA, USA, July 27-29, 1992},
pages = {16--26},
publisher = {{ACM}},
year = {1992},
url = {https://doi.org/10.1145/143242.143258},
doi = {10.1145/143242.143258},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/Kirrinnis92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/latin/GutierrezR92,
author = {Jaime Gutierrez and
Tom{\'{a}}s Recio},
editor = {Imre Simon},
title = {Rational Function Decomposition and Gr{\"{o}}bner Bases in the
Parameterization of Plane Curves (An extended abstract)},
booktitle = {{LATIN} '92, 1st Latin American Symposium on Theoretical Informatics,
S{\~{a}}o Paulo, Brazil, April 6-10, 1992, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {583},
pages = {231--245},
publisher = {Springer},
year = {1992},
url = {https://doi.org/10.1007/BFb0023832},
doi = {10.1007/BFB0023832},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/latin/GutierrezR92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/soda/RubinfeldS92,
author = {Ronitt Rubinfeld and
Madhu Sudan},
editor = {Greg N. Frederickson},
title = {Self-Testing Polynomial Functions Efficiently and Over Rational Domains},
booktitle = {Proceedings of the Third Annual {ACM/SIGACT-SIAM} Symposium on Discrete
Algorithms, 27-29 January 1992, Orlando, Florida, {USA}},
pages = {23--32},
publisher = {{ACM/SIAM}},
year = {1992},
url = {http://dl.acm.org/citation.cfm?id=139404.139410},
timestamp = {Tue, 14 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/soda/RubinfeldS92.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/FatemanL91,
author = {Richard J. Fateman and
Derek T. Lai},
title = {A simple display package for polynomials and rational functions in
common Lisp},
journal = {{SIGSAM} Bull.},
volume = {25},
number = {4},
pages = {1--3},
year = {1991},
url = {https://doi.org/10.1145/122508.122509},
doi = {10.1145/122508.122509},
timestamp = {Mon, 18 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cca/FatemanL91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cca/Yan91,
author = {Tak W. Yan},
title = {A rational function arithmetic and simplification system in common
Lisp},
journal = {{SIGSAM} Bull.},
volume = {25},
number = {4},
pages = {4--6},
year = {1991},
url = {https://doi.org/10.1145/122508.122510},
doi = {10.1145/122508.122510},
timestamp = {Mon, 18 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cca/Yan91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ijcta/RabrenovicL91,
author = {D. Rabrenovic and
Miroslav D. Lutovac},
title = {A chebyshev rational function with low Q-factors},
journal = {Int. J. Circuit Theory Appl.},
volume = {19},
number = {3},
pages = {229--240},
year = {1991},
url = {https://doi.org/10.1002/cta.4490190303},
doi = {10.1002/CTA.4490190303},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcta/RabrenovicL91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamcomp/ReutenauerS91,
author = {Christophe Reutenauer and
Marcel Paul Sch{\"{u}}tzenberger},
title = {Minimization of Rational Word Functions},
journal = {{SIAM} J. Comput.},
volume = {20},
number = {4},
pages = {669--685},
year = {1991},
url = {https://doi.org/10.1137/0220042},
doi = {10.1137/0220042},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamcomp/ReutenauerS91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/GopalakrishnanKNN91,
author = {P. S. Gopalakrishnan and
Dimitri Kanevsky and
Arthur N{\'{a}}das and
David Nahamoo},
title = {An inequality for rational functions with applications to some statistical
estimation problems},
journal = {{IEEE} Trans. Inf. Theory},
volume = {37},
number = {1},
pages = {107--113},
year = {1991},
url = {https://doi.org/10.1109/18.61108},
doi = {10.1109/18.61108},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/GopalakrishnanKNN91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/Zippel91,
author = {Richard Zippel},
editor = {Stephen M. Watt},
title = {Rational Function Decomposition},
booktitle = {Proceedings of the 1991 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '91, Bonn, Germany, July 15-17, 1991},
pages = {1--6},
publisher = {{ACM}},
year = {1991},
url = {https://doi.org/10.1145/120694.120695},
doi = {10.1145/120694.120695},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/Zippel91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/WilliamsonB91,
author = {Robert C. Williamson and
Peter L. Bartlett},
editor = {John E. Moody and
Stephen Jose Hanson and
Richard Lippmann},
title = {Splines, Rational Functions and Neural Networks},
booktitle = {Advances in Neural Information Processing Systems 4, {[NIPS} Conference,
Denver, Colorado, USA, December 2-5, 1991]},
pages = {1040--1047},
publisher = {Morgan Kaufmann},
year = {1991},
url = {http://papers.nips.cc/paper/442-splines-rational-functions-and-neural-networks},
timestamp = {Mon, 16 May 2022 15:41:51 +0200},
biburl = {https://dblp.org/rec/conf/nips/WilliamsonB91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/il/Rubinstein90,
author = {Sorin Rubinstein},
title = {Linear fractional decompositions of rational matrix functions (a state
space approach)},
school = {Tel Aviv University, Israel},
year = {1990},
url = {https://tau.primo.exlibrisgroup.com/permalink/972TAU\_INST/bai57q/alma990032540900204146},
timestamp = {Fri, 03 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/phd/il/Rubinstein90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/LazardR90,
author = {Daniel Lazard and
Renaud Rioboo},
title = {Integration of Rational Functions: Rational Computation of the Logarithmic
Part},
journal = {J. Symb. Comput.},
volume = {9},
number = {2},
pages = {113--115},
year = {1990},
url = {https://doi.org/10.1016/S0747-7171(08)80026-0},
doi = {10.1016/S0747-7171(08)80026-0},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/LazardR90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pieee/Sakata90,
author = {Shojiro Sakata},
title = {Partial realization of 2-D discrete linear system and 2-D Pade approximation
and reduction of 2-D rational transfer function},
journal = {Proc. {IEEE}},
volume = {78},
number = {4},
pages = {604--613},
year = {1990},
url = {https://doi.org/10.1109/5.54801},
doi = {10.1109/5.54801},
timestamp = {Wed, 22 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pieee/Sakata90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Stenger90,
author = {Frank Stenger},
title = {Rational Approximation of Real Functions {(P.} P. Petrushev and V.
I. Popov)},
journal = {{SIAM} Rev.},
volume = {32},
number = {1},
pages = {187--188},
year = {1990},
url = {https://doi.org/10.1137/1032034},
doi = {10.1137/1032034},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Stenger90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tc/KorenZ90,
author = {Israel Koren and
Ofra Zinaty},
title = {Evaluating Elementary Functions in a Numerical Coprocessor Based on
Rational Approximations},
journal = {{IEEE} Trans. Computers},
volume = {39},
number = {8},
pages = {1030--1037},
year = {1990},
url = {https://doi.org/10.1109/12.57042},
doi = {10.1109/12.57042},
timestamp = {Sat, 20 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tc/KorenZ90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/Terlutte90,
author = {Alain Terlutte},
title = {Cyclic Rational Transductions and Polynomials of Rational Functions},
journal = {Theor. Comput. Sci.},
volume = {70},
number = {2},
pages = {261--271},
year = {1990},
url = {https://doi.org/10.1016/0304-3975(90)90126-3},
doi = {10.1016/0304-3975(90)90126-3},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/Terlutte90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dimacs/Lawrence90a,
author = {Jim Lawrence},
editor = {Jacob E. Goodman and
Richard Pollack and
William Steiger},
title = {Rational-function-valued Valuations on Polyhedra},
booktitle = {Discrete and Computational Geometry: Papers from the {DIMACS} Special
Year},
series = {{DIMACS} Series in Discrete Mathematics and Theoretical Computer Science},
volume = {6},
pages = {199--208},
publisher = {{DIMACS/AMS}},
year = {1990},
url = {https://doi.org/10.1090/dimacs/006/12},
doi = {10.1090/DIMACS/006/12},
timestamp = {Mon, 22 May 2023 16:07:35 +0200},
biburl = {https://dblp.org/rec/conf/dimacs/Lawrence90a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/focs/GrigorievKS90,
author = {Dima Grigoriev and
Marek Karpinski and
Michael F. Singer},
title = {Interpolation of Sparse Rational Functions Without Knowing Bounds
on Exponents},
booktitle = {31st Annual Symposium on Foundations of Computer Science, St. Louis,
Missouri, USA, October 22-24, 1990, Volume {II}},
pages = {840--846},
publisher = {{IEEE} Computer Society},
year = {1990},
url = {https://doi.org/10.1109/FSCS.1990.89616},
doi = {10.1109/FSCS.1990.89616},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/focs/GrigorievKS90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icci/Luo90,
author = {Zhi{-}Quan Luo},
editor = {Selim G. Akl and
Frantisek Fiala and
Waldemar W. Koczkodaj},
title = {Communication Complexity of Computing a Collection of Rational Functions},
booktitle = {Advances in Computing and Information - ICCI'90, International Conference
on Computing and Information, Niagara Falls, Canada, May 23-26, 1990,
Proceedings},
series = {Lecture Notes in Computer Science},
volume = {468},
pages = {453--462},
publisher = {Springer},
year = {1990},
url = {https://doi.org/10.1007/3-540-53504-7\_103},
doi = {10.1007/3-540-53504-7\_103},
timestamp = {Tue, 14 May 2019 10:00:51 +0200},
biburl = {https://dblp.org/rec/conf/icci/Luo90.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/Butler89,
author = {Lynne M. Butler},
title = {Rational generating functions for enumerating chains of partitions},
journal = {J. Comb. Theory, Ser. {A}},
volume = {50},
number = {1},
pages = {132--161},
year = {1989},
url = {https://doi.org/10.1016/0097-3165(89)90010-1},
doi = {10.1016/0097-3165(89)90010-1},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jct/Butler89.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scp/HallW89,
author = {Cordelia V. Hall and
David S. Wise},
title = {Generating Function Versions with Rational Strictness Patterns},
journal = {Sci. Comput. Program.},
volume = {12},
number = {1},
pages = {39--74},
year = {1989},
url = {https://doi.org/10.1016/0167-6423(89)90027-0},
doi = {10.1016/0167-6423(89)90027-0},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/scp/HallW89.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/Allouche89,
author = {Jean{-}Paul Allouche},
title = {On a Sequence of Rational Functions},
journal = {Theor. Comput. Sci.},
volume = {65},
number = {2},
pages = {123--130},
year = {1989},
url = {https://doi.org/10.1016/0304-3975(89)90037-6},
doi = {10.1016/0304-3975(89)90037-6},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcs/Allouche89.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/Honkala89,
author = {Juha Honkala},
title = {A Necessary Condition for the Rationality of the Zeta Function of
a Regular Language},
journal = {Theor. Comput. Sci.},
volume = {66},
number = {3},
pages = {341--347},
year = {1989},
url = {https://doi.org/10.1016/0304-3975(89)90159-X},
doi = {10.1016/0304-3975(89)90159-X},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/Honkala89.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/Stoss89,
author = {Hans{-}J{\"{o}}rg Sto{\ss}},
title = {On the Representation of Rational Functions of Bounded Complexity},
journal = {Theor. Comput. Sci.},
volume = {64},
number = {1},
pages = {1--13},
year = {1989},
url = {https://doi.org/10.1016/0304-3975(89)90093-5},
doi = {10.1016/0304-3975(89)90093-5},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/Stoss89.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/FarrierP89,
author = {David R. Farrier and
Anthony R. Prior{-}Wandesforde},
title = {A comparison of bias reduced methods for the estimation of rational
transfer functions},
journal = {{IEEE} Trans. Acoust. Speech Signal Process.},
volume = {37},
number = {3},
pages = {431--433},
year = {1989},
url = {https://doi.org/10.1109/29.21711},
doi = {10.1109/29.21711},
timestamp = {Tue, 19 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tsp/FarrierP89.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icassp/GopalakrishnanK89,
author = {P. S. Gopalakrishnan and
Dimitri Kanevsky and
Arthur N{\'{a}}das and
David Nahamoo},
title = {A generalization of the Baum algorithm to rational objective functions},
booktitle = {{IEEE} International Conference on Acoustics, Speech, and Signal Processing,
{ICASSP} '89, Glasgow, Scotland, May 23-26, 1989},
pages = {631--634},
publisher = {{IEEE}},
year = {1989},
url = {https://doi.org/10.1109/ICASSP.1989.266506},
doi = {10.1109/ICASSP.1989.266506},
timestamp = {Mon, 09 Aug 2021 14:54:02 +0200},
biburl = {https://dblp.org/rec/conf/icassp/GopalakrishnanK89.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ipl/EngelfrietH88,
author = {Joost Engelfriet and
Hendrik Jan Hoogeboom},
title = {Prefix and Equality Languages of Rational Functions are Co-Context-Free},
journal = {Inf. Process. Lett.},
volume = {28},
number = {2},
pages = {77--79},
year = {1988},
url = {https://doi.org/10.1016/0020-0190(88)90167-6},
doi = {10.1016/0020-0190(88)90167-6},
timestamp = {Fri, 26 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ipl/EngelfrietH88.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/ChoffrutS88,
author = {Christian Choffrut and
Marcel Paul Sch{\"{u}}tzenberger},
title = {Counting with Rational Functions},
journal = {Theor. Comput. Sci.},
volume = {58},
pages = {81--101},
year = {1988},
url = {https://doi.org/10.1016/0304-3975(88)90020-5},
doi = {10.1016/0304-3975(88)90020-5},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/ChoffrutS88.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/Schutzenberger88,
author = {Marcel Paul Sch{\"{u}}tzenberger},
title = {Counting with Rational Functions},
journal = {Theor. Comput. Sci.},
volume = {58},
pages = {81--101},
year = {1988},
timestamp = {Wed, 19 Nov 2003 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/Schutzenberger88.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/stacs/Terlutte88,
author = {Alain Terlutte},
editor = {Robert Cori and
Martin Wirsing},
title = {Cyclic Rational Transductions and Polynomials of Rational Functions},
booktitle = {{STACS} 88, 5th Annual Symposium on Theoretical Aspects of Computer
Science, Bordeaux, France, February 11-13, 1988, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {294},
pages = {149--158},
publisher = {Springer},
year = {1988},
url = {https://doi.org/10.1007/BFb0035841},
doi = {10.1007/BFB0035841},
timestamp = {Tue, 14 May 2019 10:00:48 +0200},
biburl = {https://dblp.org/rec/conf/stacs/Terlutte88.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eurocal/Abramov87,
author = {Sergei A. Abramov},
editor = {James H. Davenport},
title = {Some algorithms of rational function algebra},
booktitle = {{EUROCAL} '87, European Conference on Computer Algebra, Leipzig, GDR,
June 2-5, 1987, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {378},
pages = {45--47},
publisher = {Springer},
year = {1987},
url = {https://doi.org/10.1007/3-540-51517-8\_85},
doi = {10.1007/3-540-51517-8\_85},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/eurocal/Abramov87.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamcomp/BlumS86,
author = {Lenore Blum and
Mike Shub},
title = {Evaluating Rational Functions: Infinite Precision is Finite Cost and
Tractable on Average},
journal = {{SIAM} J. Comput.},
volume = {15},
number = {2},
pages = {384--398},
year = {1986},
url = {https://doi.org/10.1137/0215026},
doi = {10.1137/0215026},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamcomp/BlumS86.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamcomp/Gathen86,
author = {Joachim von zur Gathen},
title = {Representations and Parallel Computations for Rational Functions},
journal = {{SIAM} J. Comput.},
volume = {15},
number = {2},
pages = {432--452},
year = {1986},
url = {https://doi.org/10.1137/0215030},
doi = {10.1137/0215030},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamcomp/Gathen86.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icalp/ChoffrutS86,
author = {Christian Choffrut and
Marcel Paul Sch{\"{u}}tzenberger},
editor = {Laurent Kott},
title = {Counting with Rational Functions},
booktitle = {Automata, Languages and Programming, 13th International Colloquium,
ICALP86, Rennes, France, July 15-19, 1986, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {226},
pages = {79--88},
publisher = {Springer},
year = {1986},
url = {https://doi.org/10.1007/3-540-16761-7\_57},
doi = {10.1007/3-540-16761-7\_57},
timestamp = {Tue, 14 May 2019 10:00:44 +0200},
biburl = {https://dblp.org/rec/conf/icalp/ChoffrutS86.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/mfcs/Frougny86,
author = {Christiane Frougny},
editor = {Jozef Gruska and
Branislav Rovan and
Juraj Wiedermann},
title = {Fibonacci Numeration Systems and Rational Functions},
booktitle = {Mathematical Foundations of Computer Science 1986, Bratislava, Czechoslovakia,
August 25-29, 1996, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {233},
pages = {350--359},
publisher = {Springer},
year = {1986},
url = {https://doi.org/10.1007/BFb0016259},
doi = {10.1007/BFB0016259},
timestamp = {Sat, 30 Sep 2023 09:52:35 +0200},
biburl = {https://dblp.org/rec/conf/mfcs/Frougny86.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cg/Alander85,
author = {Jarmo T. Alander},
title = {On interval arithmetic range approximation methods of polynomials
and rational functions},
journal = {Comput. Graph.},
volume = {9},
number = {4},
pages = {365--372},
year = {1985},
url = {https://doi.org/10.1016/0097-8493(85)90031-7},
doi = {10.1016/0097-8493(85)90031-7},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cg/Alander85.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamcomp/Kalorkoti85,
author = {K. Kalorkoti},
title = {A Lower Bound for the Formula Size of Rational Functions},
journal = {{SIAM} J. Comput.},
volume = {14},
number = {3},
pages = {678--687},
year = {1985},
url = {https://doi.org/10.1137/0214050},
doi = {10.1137/0214050},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamcomp/Kalorkoti85.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/aaecc/Smedley85,
author = {Trevor J. Smedley},
editor = {Jacques Calmet},
title = {Integration of Rational Functions in {SAC-2}},
booktitle = {Algebraic Algorithms and Error-Correcting Codes, 3rd International
Conference, AAECC-3, Grenoble, France, July 15-19, 1985, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {229},
pages = {373--384},
publisher = {Springer},
year = {1985},
url = {https://doi.org/10.1007/3-540-16776-5\_742},
doi = {10.1007/3-540-16776-5\_742},
timestamp = {Fri, 17 Jul 2020 16:12:48 +0200},
biburl = {https://dblp.org/rec/conf/aaecc/Smedley85.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cca/Smith84a,
author = {Carolyn J. Smith},
title = {Procedures for polynomial and rational function recognition},
journal = {{SIGSAM} Bull.},
volume = {18},
number = {3},
pages = {2--4},
year = {1984},
url = {https://doi.org/10.1145/1089389.1089390},
doi = {10.1145/1089389.1089390},
timestamp = {Mon, 18 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cca/Smith84a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/focs/BlumS84,
author = {Lenore Blum and
Mike Shub},
title = {Evaluating Rational Functions: Infinite Precision is Finite Cost and
Tractable on Average (Extended Abstract)},
booktitle = {25th Annual Symposium on Foundations of Computer Science, West Palm
Beach, Florida, USA, 24-26 October 1984},
pages = {261--267},
publisher = {{IEEE} Computer Society},
year = {1984},
url = {https://doi.org/10.1109/SFCS.1984.715924},
doi = {10.1109/SFCS.1984.715924},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/focs/BlumS84.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/mor/AhujaBG83,
author = {R. K. Ahuja and
J. L. Batra and
S. K. Gupta},
title = {Combinatorial Optimization with Rational Objective Functions: {A}
Communication},
journal = {Math. Oper. Res.},
volume = {8},
number = {2},
pages = {314},
year = {1983},
url = {https://doi.org/10.1287/moor.8.2.314},
doi = {10.1287/MOOR.8.2.314},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mor/AhujaBG83.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/focs/Gathen83a,
author = {Joachim von zur Gathen},
title = {Representations of Rational Functions},
booktitle = {24th Annual Symposium on Foundations of Computer Science, Tucson,
Arizona, USA, 7-9 November 1983},
pages = {133--137},
publisher = {{IEEE} Computer Society},
year = {1983},
url = {https://doi.org/10.1109/SFCS.1983.67},
doi = {10.1109/SFCS.1983.67},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/focs/Gathen83a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/Zhong82,
author = {Renbao Zhong},
title = {An algorithm for avoiding complex numbers in rational function integration},
journal = {{SIGSAM} Bull.},
volume = {16},
number = {3},
pages = {30--32},
year = {1982},
url = {https://doi.org/10.1145/1089302.1089308},
doi = {10.1145/1089302.1089308},
timestamp = {Mon, 18 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cca/Zhong82.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcom/Hayashi82,
author = {Akira Hayashi},
title = {Delta Modulation of Time-Discrete Processes with i.i.d. Increments
Having a Rational Characteristic Function},
journal = {{IEEE} Trans. Commun.},
volume = {30},
number = {3},
pages = {464--468},
year = {1982},
url = {https://doi.org/10.1109/TCOM.1982.1095494},
doi = {10.1109/TCOM.1982.1095494},
timestamp = {Tue, 01 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcom/Hayashi82.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icalp/Kalorkoti82,
author = {K. Kalorkoti},
editor = {Mogens Nielsen and
Erik Meineche Schmidt},
title = {A Lower Bound for the Formula Size of Rational Functions},
booktitle = {Automata, Languages and Programming, 9th Colloquium, Aarhus, Denmark,
July 12-16, 1982, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {140},
pages = {330--338},
publisher = {Springer},
year = {1982},
url = {https://doi.org/10.1007/BFb0012780},
doi = {10.1007/BFB0012780},
timestamp = {Tue, 14 May 2019 10:00:44 +0200},
biburl = {https://dblp.org/rec/conf/icalp/Kalorkoti82.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icassp/JainSW81,
author = {Vijay K. Jain and
Tapan K. Sarkar and
Donald D. Weiner},
title = {Rational modeling by pencil-of-functions method},
booktitle = {{IEEE} International Conference on Acoustics, Speech, and Signal Processing,
{ICASSP} '81, Atlanta, Georgia, USA, March 30 - April 1, 1981},
pages = {897--900},
publisher = {{IEEE}},
year = {1981},
url = {https://doi.org/10.1109/ICASSP.1981.1171196},
doi = {10.1109/ICASSP.1981.1171196},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/icassp/JainSW81.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/tcs/Choffrut81,
author = {Christian Choffrut},
editor = {Peter Deussen},
title = {Prefix-Preservation fo Rational Partial Functions Is Decidable},
booktitle = {Theoretical Computer Science, 5th GI-Conference, Karlsruhe, Germany,
March 23-25, 1981, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {104},
pages = {159--166},
publisher = {Springer},
year = {1981},
url = {https://doi.org/10.1007/BFb0017308},
doi = {10.1007/BFB0017308},
timestamp = {Tue, 14 May 2019 10:00:39 +0200},
biburl = {https://dblp.org/rec/conf/tcs/Choffrut81.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/HartmannS80,
author = {Werner Hartmann and
Peter Schuster},
title = {Multiplicative Complexity of some Rational Functions},
journal = {Theor. Comput. Sci.},
volume = {10},
pages = {53--61},
year = {1980},
url = {https://doi.org/10.1016/0304-3975(80)90072-9},
doi = {10.1016/0304-3975(80)90072-9},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/HartmannS80.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mor/Megiddo79,
author = {Nimrod Megiddo},
title = {Combinatorial Optimization with Rational Objective Functions},
journal = {Math. Oper. Res.},
volume = {4},
number = {4},
pages = {414--424},
year = {1979},
url = {https://doi.org/10.1287/moor.4.4.414},
doi = {10.1287/MOOR.4.4.414},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mor/Megiddo79.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/stoc/Megiddo78,
author = {Nimrod Megiddo},
editor = {Richard J. Lipton and
Walter A. Burkhard and
Walter J. Savitch and
Emily P. Friedman and
Alfred V. Aho},
title = {Combinatorial Optimization with Rational Objective Functions},
booktitle = {Proceedings of the 10th Annual {ACM} Symposium on Theory of Computing,
May 1-3, 1978, San Diego, California, {USA}},
pages = {1--12},
publisher = {{ACM}},
year = {1978},
url = {https://doi.org/10.1145/800133.804326},
doi = {10.1145/800133.804326},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/stoc/Megiddo78.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computing/Eckhardt77,
author = {Ulrich Eckhardt},
title = {A rational approximation to Weierstra{\ss}' {\(\wp\)} function {II.}
The lemniscatic casefunction {II.} The lemniscatic case},
journal = {Computing},
volume = {18},
number = {4},
pages = {341--349},
year = {1977},
url = {https://doi.org/10.1007/BF02244020},
doi = {10.1007/BF02244020},
timestamp = {Thu, 06 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/computing/Eckhardt77.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamcomp/KirkpatrickK77,
author = {David G. Kirkpatrick and
Zvi M. Kedem},
title = {Adequate Requirements for Rational Functions},
journal = {{SIAM} J. Comput.},
volume = {6},
number = {1},
pages = {188--199},
year = {1977},
url = {https://doi.org/10.1137/0206015},
doi = {10.1137/0206015},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamcomp/KirkpatrickK77.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/McClellan77,
author = {Michael T. McClellan},
title = {The Exact Solution of Linear Equations with Rational Function Coefficients},
journal = {{ACM} Trans. Math. Softw.},
volume = {3},
number = {1},
pages = {1--25},
year = {1977},
url = {https://doi.org/10.1145/355719.355720},
doi = {10.1145/355719.355720},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/toms/McClellan77.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ifip/HulzenH77,
author = {J. A. van Hulzen and
R. P. Hettich},
editor = {Bruce Gilchrist},
title = {Approximation with a Class of Rational Functions},
booktitle = {Information Processing, Proceedings of the 7th {IFIP} Congress 1977,
Toronto, Canada, August 8-12, 1977},
pages = {487--492},
publisher = {North-Holland},
year = {1977},
timestamp = {Fri, 26 Jul 2019 22:58:45 +0200},
biburl = {https://dblp.org/rec/conf/ifip/HulzenH77.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ifip/Yun77,
author = {David Y. Y. Yun},
editor = {Bruce Gilchrist},
title = {Fast Algorithm for Rational Function Integration},
booktitle = {Information Processing, Proceedings of the 7th {IFIP} Congress 1977,
Toronto, Canada, August 8-12, 1977},
pages = {493--498},
publisher = {North-Holland},
year = {1977},
timestamp = {Fri, 26 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/ifip/Yun77.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computing/Moore76,
author = {Ramon E. Moore},
title = {On computing the range of a rational function of n variables over
a bounded region},
journal = {Computing},
volume = {16},
number = {1-2},
pages = {1--15},
year = {1976},
url = {https://doi.org/10.1007/BF02241975},
doi = {10.1007/BF02241975},
timestamp = {Thu, 06 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/computing/Moore76.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/Ruohonen76,
author = {Keijo Ruohonen},
title = {Zeros of \emph{ {Z} } -Rational Functions and {D0L} Equivalence},
journal = {Theor. Comput. Sci.},
volume = {3},
number = {3},
pages = {283--292},
year = {1976},
url = {https://doi.org/10.1016/0304-3975(76)90047-5},
doi = {10.1016/0304-3975(76)90047-5},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/Ruohonen76.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/Trager76,
author = {Barry M. Trager},
editor = {Richard D. Jenks},
title = {Algebraic factoring and rational function integration},
booktitle = {Proceedings of the third {ACM} Symposium on Symbolic and Algebraic
Manipulation, {SYMSAC} 1976, Yorktown Heights, New York, USA, August
10-12, 1976},
pages = {219--226},
publisher = {{ACM}},
year = {1976},
url = {https://doi.org/10.1145/800205.806338},
doi = {10.1145/800205.806338},
timestamp = {Mon, 21 Mar 2022 21:49:08 +0100},
biburl = {https://dblp.org/rec/conf/issac/Trager76.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/coco/Strassen72,
author = {Volker Strassen},
editor = {Raymond E. Miller and
James W. Thatcher},
title = {Evaluation of Rational Functions},
booktitle = {Proceedings of a symposium on the Complexity of Computer Computations,
held March 20-22, 1972, at the {IBM} Thomas J. Watson Research Center,
Yorktown Heights, New York, {USA}},
series = {The {IBM} Research Symposia Series},
pages = {1--10},
publisher = {Plenum Press, New York},
year = {1972},
url = {https://doi.org/10.1007/978-1-4684-2001-2\_1},
doi = {10.1007/978-1-4684-2001-2\_1},
timestamp = {Sat, 04 Sep 2021 20:59:47 +0200},
biburl = {https://dblp.org/rec/conf/coco/Strassen72.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/stoc/Horowitz72,
author = {Ellis Horowitz},
editor = {Patrick C. Fischer and
H. Paul Zeiger and
Jeffrey D. Ullman and
Arnold L. Rosenberg},
title = {Algorithms for Rational Function Arithmetic Operations},
booktitle = {Proceedings of the 4th Annual {ACM} Symposium on Theory of Computing,
May 1-3, 1972, Denver, Colorado, {USA}},
pages = {108--118},
publisher = {{ACM}},
year = {1972},
url = {https://doi.org/10.1145/800152.804903},
doi = {10.1145/800152.804903},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/stoc/Horowitz72.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cacm/Hall71,
author = {Andrew D. Hall Jr.},
title = {The Altran System for Rational Function Manipulation - {A} Survey},
journal = {Commun. {ACM}},
volume = {14},
number = {8},
pages = {517--521},
year = {1971},
url = {https://doi.org/10.1145/362637.362644},
doi = {10.1145/362637.362644},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cacm/Hall71.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/symsac/Hall71,
author = {Andrew D. Hall Jr.},
editor = {Stanley R. Petrick and
Jean E. Sammet and
Robert G. Tobey and
Joel Moses},
title = {The {ALTRAN} system for rational function manipulation - a survey},
booktitle = {Proceedings of the second {ACM} symposium on Symbolic and algebraic
manipulation, {SYMSAC} 1971, Los Angeles, California, USA, March 23-25,
1971},
pages = {153--157},
publisher = {{ACM}},
year = {1971},
url = {https://doi.org/10.1145/800204.806280},
doi = {10.1145/800204.806280},
timestamp = {Mon, 21 Mar 2022 16:03:35 +0100},
biburl = {https://dblp.org/rec/conf/symsac/Hall71.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/symsac/Horowitz71a,
author = {Ellis Horowitz},
editor = {Stanley R. Petrick and
Jean E. Sammet and
Robert G. Tobey and
Joel Moses},
title = {Algorithms for partial fraction decomposition and rational function
integration},
booktitle = {Proceedings of the second {ACM} symposium on Symbolic and algebraic
manipulation, {SYMSAC} 1971, Los Angeles, California, USA, March 23-25,
1971},
pages = {441--457},
publisher = {{ACM}},
year = {1971},
url = {https://doi.org/10.1145/800204.806314},
doi = {10.1145/800204.806314},
timestamp = {Mon, 21 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/symsac/Horowitz71a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsyml/Shapiro69,
author = {N. Z. Shapiro},
title = {Real Numbers and Functions in the Kleene Hierarchy and Limits of Recursive,
Rational Functions},
journal = {J. Symb. Log.},
volume = {34},
number = {2},
pages = {207--214},
year = {1969},
url = {https://doi.org/10.2307/2271096},
doi = {10.2307/2271096},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsyml/Shapiro69.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acm/GeyL69,
author = {Fredric C. Gey and
M. B. Lesser},
editor = {Solomon L. Pollack and
Thomas R. Dines and
Ward C. Sangren and
Norman R. Nielsen and
William G. Gerkin and
Alfred E. Corduan and
Len Nowak and
James L. Mueller and
Joseph Horner III and
Pasteur S. T. Yuen and
Jeffery Stein and
Margaret M. Mueller},
title = {Computer generation of series and rational function solutions to partial
differential initial value problems},
booktitle = {Proceedings of the 24th national conference, {ACM} 1969, USA, 1969},
pages = {559--572},
publisher = {{ACM}},
year = {1969},
url = {https://doi.org/10.1145/800195.805961},
doi = {10.1145/800195.805961},
timestamp = {Fri, 16 Apr 2021 12:48:16 +0200},
biburl = {https://dblp.org/rec/conf/acm/GeyL69.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cacm/DargelLW66,
author = {Robert H. Dargel and
Frank R. Loscalzo and
Thomas H. Witt},
title = {Automatic error bounds on real zeros of rational functions},
journal = {Commun. {ACM}},
volume = {9},
number = {11},
pages = {806--809},
year = {1966},
url = {https://doi.org/10.1145/365876.365913},
doi = {10.1145/365876.365913},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cacm/DargelLW66.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cacm/Gargantini66,
author = {Irene Gargantini},
title = {On the application of the process of equalization of maxima to obtain
rational approximation to certain modified Bessel functions},
journal = {Commun. {ACM}},
volume = {9},
number = {12},
pages = {859--863},
year = {1966},
url = {https://doi.org/10.1145/365916.365928},
doi = {10.1145/365916.365928},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cacm/Gargantini66.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cj/CurtisO66,
author = {Alan Curtis and
Michael R. Osborne},
title = {The Construction of Minimax Rational Approximations to Functions},
journal = {Comput. J.},
volume = {9},
number = {3},
pages = {286--293},
year = {1966},
url = {https://doi.org/10.1093/comjnl/9.3.286},
doi = {10.1093/COMJNL/9.3.286},
timestamp = {Mon, 20 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cj/CurtisO66.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cj/Jarratt66,
author = {P. Jarratt},
title = {A Rational Iteration Function for Solving Equations},
journal = {Comput. J.},
volume = {9},
number = {3},
pages = {304--307},
year = {1966},
url = {https://doi.org/10.1093/comjnl/9.3.304},
doi = {10.1093/COMJNL/9.3.304},
timestamp = {Mon, 20 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cj/Jarratt66.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cj/JarrattN65,
author = {P. Jarratt and
Donald Nudds},
title = {The Use of Rational Functions in the Iterative Solution of Equations
on a Digital Computer},
journal = {Comput. J.},
volume = {8},
number = {1},
pages = {62--65},
year = {1965},
url = {https://doi.org/10.1093/comjnl/8.1.62},
doi = {10.1093/COMJNL/8.1.62},
timestamp = {Thu, 23 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cj/JarrattN65.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jacm/Stoer64,
author = {Josef Stoer},
title = {A Direct Method for Chebyshev Approximation by Rational Functions},
journal = {J. {ACM}},
volume = {11},
number = {1},
pages = {59--69},
year = {1964},
url = {https://doi.org/10.1145/321203.321211},
doi = {10.1145/321203.321211},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jacm/Stoer64.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/us/Humpherys63,
author = {DeVerl Humpherys},
title = {Rational Function Approximation of Polynomials With Equiripple Error},
school = {University of Illinois Urbana-Champaign, {USA}},
year = {1963},
url = {https://hdl.handle.net/2142/57054},
timestamp = {Thu, 07 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/phd/us/Humpherys63.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jacm/Ralston63,
author = {Anthony Ralston},
title = {On Economization of Rational Functions},
journal = {J. {ACM}},
volume = {10},
number = {3},
pages = {278--282},
year = {1963},
url = {https://doi.org/10.1145/321172.321174},
doi = {10.1145/321172.321174},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jacm/Ralston63.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/us/Heizer62,
author = {Kenneth W. Heizer},
title = {Distributed Rc Networks With Rational Transfer Functions},
school = {University of Illinois Urbana-Champaign, {USA}},
year = {1962},
url = {https://hdl.handle.net/2142/57051},
timestamp = {Thu, 31 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/phd/us/Heizer62.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cacm/FraserH62,
author = {W. Fraser and
J. F. Hart},
title = {On the computation of rational approximations to continuous functions},
journal = {Commun. {ACM}},
volume = {5},
number = {7},
pages = {401--403},
year = {1962},
url = {https://doi.org/10.1145/368273.368578},
doi = {10.1145/368273.368578},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cacm/FraserH62.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cacm/Clendenin61,
author = {W. W. Clendenin},
title = {Notes on the constructions of rational approximations for the eerror
function and for similar functions},
journal = {Commun. {ACM}},
volume = {4},
number = {8},
pages = {354},
year = {1961},
url = {https://doi.org/10.1145/366678.366695},
doi = {10.1145/366678.366695},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cacm/Clendenin61.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/us/Tang60,
author = {Tao{-}Nan Tang},
title = {Rational Approximation of Arbitrary Real Functions With Specified
Weights},
school = {University of Illinois Urbana-Champaign, {USA}},
year = {1960},
url = {https://hdl.handle.net/2142/57008},
timestamp = {Thu, 14 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/phd/us/Tang60.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/us/Fu59,
author = {King{-}Sun Fu},
title = {Least-Squares Approximation for Both Magnitude and Phase by Rational
Functions},
school = {University of Illinois Urbana-Champaign, {USA}},
year = {1959},
url = {https://hdl.handle.net/2142/56982},
timestamp = {Thu, 31 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/phd/us/Fu59.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ifip/Maehly59,
author = {Hans J. Maehly},
title = {Rational approximations for transcendental functions},
booktitle = {Information Processing, Proceedings of the 1st International Conference
on Information Processing, UNESCO, Paris 15-20 June 1959},
pages = {57--61},
publisher = {{UNESCO} (Paris)},
year = {1959},
timestamp = {Fri, 26 Jul 2019 12:25:09 +0200},
biburl = {https://dblp.org/rec/conf/ifip/Maehly59.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jacm/Bashkow58,
author = {T. R. Bashkow},
title = {A "Curve Plotting" Routine for the Inverse Laplace Transform of Rational
Functions},
journal = {J. {ACM}},
volume = {5},
number = {1},
pages = {52--56},
year = {1958},
url = {https://doi.org/10.1145/320911.320918},
doi = {10.1145/320911.320918},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jacm/Bashkow58.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jacm/Luke57,
author = {Yudell L. Luke},
title = {Rational Approximations to the Exponential Function},
journal = {J. {ACM}},
volume = {4},
number = {1},
pages = {24--29},
year = {1957},
url = {https://doi.org/10.1145/320856.320862},
doi = {10.1145/320856.320862},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jacm/Luke57.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acm/Luke56,
author = {Yudell L. Luke},
title = {On rational function approximations to the exponential function with
application to the practical solution of linear differential difference
equations with constant coefficients},
booktitle = {Proceedings of the 11th {ACM} national meeting, {ACM} 1956, {USA}},
pages = {13--16},
publisher = {{ACM}},
year = {1956},
url = {https://doi.org/10.1145/800258.808937},
doi = {10.1145/800258.808937},
timestamp = {Fri, 16 Apr 2021 12:47:44 +0200},
biburl = {https://dblp.org/rec/conf/acm/Luke56.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acm/Luke56a,
author = {Yudell L. Luke},
title = {On rational function approximations to the exponential function with
application to the practical solution of linear differential difference
equation with constant coefficients},
booktitle = {Proceedings of the 11th {ACM} national meeting, {ACM} 1956, {USA}},
pages = {177--178},
publisher = {{ACM}},
year = {1956},
url = {https://doi.org/10.1145/800258.808979},
doi = {10.1145/800258.808979},
timestamp = {Fri, 16 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/acm/Luke56a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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