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ORCIDBibTeX records: Jonathan D. Hauenstein
@article{DBLP:journals/corr/abs-2403-18749,
author = {Emma R. Cobian and
Jonathan D. Hauenstein and
Charles W. Wampler},
title = {Robust Numerical Algebraic Geometry},
journal = {CoRR},
volume = {abs/2403.18749},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.18749},
doi = {10.48550/ARXIV.2403.18749},
eprinttype = {arXiv},
eprint = {2403.18749},
timestamp = {Wed, 10 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-18749.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/BernalHMRT23,
author = {Edgar A. Bernal and
Jonathan D. Hauenstein and
Dhagash Mehta and
Margaret H. Regan and
Tingting Tang},
title = {Machine learning the real discriminant locus},
journal = {J. Symb. Comput.},
volume = {115},
pages = {409--426},
year = {2023},
url = {https://doi.org/10.1016/j.jsc.2022.08.001},
doi = {10.1016/J.JSC.2022.08.001},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/BernalHMRT23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/HarrisHS23,
author = {Katherine Harris and
Jonathan D. Hauenstein and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {Smooth points on semi-algebraic sets},
journal = {J. Symb. Comput.},
volume = {116},
pages = {183--212},
year = {2023},
url = {https://doi.org/10.1016/j.jsc.2022.09.003},
doi = {10.1016/J.JSC.2022.09.003},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsc/HarrisHS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/HauensteinHKMT23,
author = {Jonathan D. Hauenstein and
Yang{-}Hui He and
Ilias S. Kotsireas and
Dhagash Mehta and
Tingting Tang},
title = {Special issue on Algebraic Geometry and Machine Learning},
journal = {J. Symb. Comput.},
volume = {118},
pages = {93--94},
year = {2023},
url = {https://doi.org/10.1016/j.jsc.2022.10.003},
doi = {10.1016/J.JSC.2022.10.003},
timestamp = {Sat, 25 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/HauensteinHKMT23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pami/FabbriDFRPTWHGKLP23,
author = {Ricardo Fabbri and
Timothy Duff and
Hongyi Fan and
Margaret H. Regan and
David da Costa de Pinho and
Elias P. Tsigaridas and
Charles W. Wampler and
Jonathan D. Hauenstein and
Peter J. Giblin and
Benjamin B. Kimia and
Anton Leykin and
Tom{\'{a}}s Pajdla},
title = {Trifocal Relative Pose From Lines at Points},
journal = {{IEEE} Trans. Pattern Anal. Mach. Intell.},
volume = {45},
number = {6},
pages = {7870--7884},
year = {2023},
url = {https://doi.org/10.1109/TPAMI.2022.3226165},
doi = {10.1109/TPAMI.2022.3226165},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/pami/FabbriDFRPTWHGKLP23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siaga/RoccoEEGH23,
author = {Sandra Di Rocco and
Parker B. Edwards and
David Eklund and
Oliver G{\"{a}}fvert and
Jonathan D. Hauenstein},
title = {Computing Geometric Feature Sizes for Algebraic Manifolds},
journal = {{SIAM} J. Appl. Algebra Geom.},
volume = {7},
number = {4},
pages = {716--741},
year = {2023},
url = {https://doi.org/10.1137/22m1522656},
doi = {10.1137/22M1522656},
timestamp = {Tue, 28 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siaga/RoccoEEGH23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iccvw/AbrahamMKHS23,
author = {Sophia J. Abraham and
Kehelwala Dewage Gayan Maduranga and
Jeffery Kinnison and
Jonathan D. Hauenstein and
Walter J. Scheirer},
title = {{NCQS:} Nonlinear Convex Quadrature Surrogate Hyperparameter Optimization},
booktitle = {{IEEE/CVF} International Conference on Computer Vision, {ICCV} 2023
- Workshops, Paris, France, October 2-6, 2023},
pages = {1187--1195},
publisher = {{IEEE}},
year = {2023},
url = {https://doi.org/10.1109/ICCVW60793.2023.00129},
doi = {10.1109/ICCVW60793.2023.00129},
timestamp = {Wed, 10 Jan 2024 14:20:12 +0100},
biburl = {https://dblp.org/rec/conf/iccvw/AbrahamMKHS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icra/EdwardsBHPH23,
author = {Parker B. Edwards and
Aravind Baskar and
Caroline Hills and
Mark M. Plecnik and
Jonathan D. Hauenstein},
title = {Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based
Path Planner},
booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}
2023, London, UK, May 29 - June 2, 2023},
pages = {9735--9741},
publisher = {{IEEE}},
year = {2023},
url = {https://doi.org/10.1109/ICRA48891.2023.10160891},
doi = {10.1109/ICRA48891.2023.10160891},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icra/EdwardsBHPH23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-08585,
author = {Daniel J. Bates and
Paul Breiding and
Tianran Chen and
Jonathan D. Hauenstein and
Anton Leykin and
Frank Sottile},
title = {Numerical Nonlinear Algebra},
journal = {CoRR},
volume = {abs/2302.08585},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2302.08585},
doi = {10.48550/ARXIV.2302.08585},
eprinttype = {arXiv},
eprint = {2302.08585},
timestamp = {Thu, 23 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2302-08585.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2306-11506,
author = {Taylor Brysiewicz and
Jonathan D. Hauenstein and
Caroline Hills},
title = {Max-convolution through numerics and tropical geometry},
journal = {CoRR},
volume = {abs/2306.11506},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2306.11506},
doi = {10.48550/ARXIV.2306.11506},
eprinttype = {arXiv},
eprint = {2306.11506},
timestamp = {Fri, 23 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2306-11506.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-04675,
author = {Yu Wang and
Emma R. Cobian and
Jubilee Lee and
Fang Liu and
Jonathan D. Hauenstein and
Daniele E. Schiavazzi},
title = {{LINFA:} a Python library for variational inference with normalizing
flow and annealing},
journal = {CoRR},
volume = {abs/2307.04675},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.04675},
doi = {10.48550/ARXIV.2307.04675},
eprinttype = {arXiv},
eprint = {2307.04675},
timestamp = {Mon, 24 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-04675.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2308-03317,
author = {Sophia J. Abraham and
Kehelwala D. G. Maduranga and
Jeffery Kinnison and
Zachariah Carmichael and
Jonathan D. Hauenstein and
Walter J. Scheirer},
title = {HomOpt: {A} Homotopy-Based Hyperparameter Optimization Method},
journal = {CoRR},
volume = {abs/2308.03317},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2308.03317},
doi = {10.48550/ARXIV.2308.03317},
eprinttype = {arXiv},
eprint = {2308.03317},
timestamp = {Mon, 21 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2308-03317.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2311-09866,
author = {Wenrui Hao and
Jonathan D. Hauenstein and
Margaret H. Regan and
Tingting Tang},
title = {A numerical method for solving elliptic equations on real closed algebraic
curves and surfaces},
journal = {CoRR},
volume = {abs/2311.09866},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2311.09866},
doi = {10.48550/ARXIV.2311.09866},
eprinttype = {arXiv},
eprint = {2311.09866},
timestamp = {Wed, 22 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2311-09866.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/em/HauensteinH22,
author = {Jonathan D. Hauenstein and
Martin Helmer},
title = {Probabilistic Saturations and Alt's Problem},
journal = {Exp. Math.},
volume = {31},
number = {3},
pages = {975--987},
year = {2022},
url = {https://doi.org/10.1080/10586458.2020.1740835},
doi = {10.1080/10586458.2020.1740835},
timestamp = {Tue, 06 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/em/HauensteinH22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mor/HauensteinNTT22,
author = {Jonathan D. Hauenstein and
Ali Mohammad Nezhad and
Tingting Tang and
Tam{\'{a}}s Terlaky},
title = {On Computing the Nonlinearity Interval in Parametric Semidefinite
Optimization},
journal = {Math. Oper. Res.},
volume = {47},
number = {4},
pages = {2989--3009},
year = {2022},
url = {https://doi.org/10.1287/moor.2021.1234},
doi = {10.1287/MOOR.2021.1234},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mor/HauensteinNTT22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pami/MehtaCTH22,
author = {Dhagash Mehta and
Tianran Chen and
Tingting Tang and
Jonathan D. Hauenstein},
title = {The Loss Surface of Deep Linear Networks Viewed Through the Algebraic
Geometry Lens},
journal = {{IEEE} Trans. Pattern Anal. Mach. Intell.},
volume = {44},
number = {9},
pages = {5664--5680},
year = {2022},
url = {https://doi.org/10.1109/TPAMI.2021.3071289},
doi = {10.1109/TPAMI.2021.3071289},
timestamp = {Thu, 25 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pami/MehtaCTH22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ark/BaskarPH22,
author = {Aravind Baskar and
Mark M. Plecnik and
Jonathan D. Hauenstein},
editor = {Oscar Altuzarra and
Andr{\'{e}}s Kecskem{\'{e}}thy},
title = {Finding Straight Line Generators Through the Approximate Synthesis
of Symmetric Four-Bar Coupler Curves},
booktitle = {Advances in Robot Kinematics 2022, {ARK} 2022, Bilbao, Spain, June
26-30, 2022},
series = {Springer Proceedings in Advanced Robotics},
volume = {24},
pages = {277--285},
publisher = {Springer},
year = {2022},
url = {https://doi.org/10.1007/978-3-031-08140-8\_30},
doi = {10.1007/978-3-031-08140-8\_30},
timestamp = {Tue, 21 Mar 2023 20:59:38 +0100},
biburl = {https://dblp.org/rec/conf/ark/BaskarPH22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-00792,
author = {Emma R. Cobian and
Jonathan D. Hauenstein and
Fang Liu and
Daniele E. Schiavazzi},
title = {AdaAnn: Adaptive Annealing Scheduler for Probability Density Approximation},
journal = {CoRR},
volume = {abs/2202.00792},
year = {2022},
url = {https://arxiv.org/abs/2202.00792},
eprinttype = {arXiv},
eprint = {2202.00792},
timestamp = {Fri, 14 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2202-00792.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2208-14327,
author = {Cinzia Bisi and
Jonathan D. Hauenstein and
Tuyen Trung Truong},
title = {Some interesting birational morphisms of smooth affine quadric 3-folds},
journal = {CoRR},
volume = {abs/2208.14327},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2208.14327},
doi = {10.48550/ARXIV.2208.14327},
eprinttype = {arXiv},
eprint = {2208.14327},
timestamp = {Thu, 01 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2208-14327.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2209-01654,
author = {Sandra Di Rocco and
Parker B. Edwards and
David Eklund and
Oliver G{\"{a}}fvert and
Jonathan D. Hauenstein},
title = {Computing geometric feature sizes for algebraic manifolds},
journal = {CoRR},
volume = {abs/2209.01654},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2209.01654},
doi = {10.48550/ARXIV.2209.01654},
eprinttype = {arXiv},
eprint = {2209.01654},
timestamp = {Thu, 29 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2209-01654.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2209-10743,
author = {Parker B. Edwards and
Aravind Baskar and
Caroline Hills and
Mark M. Plecnik and
Jonathan D. Hauenstein},
title = {Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based
Path Planner},
journal = {CoRR},
volume = {abs/2209.10743},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2209.10743},
doi = {10.48550/ARXIV.2209.10743},
eprinttype = {arXiv},
eprint = {2209.10743},
timestamp = {Wed, 28 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2209-10743.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aam/DufresneHHKT21,
author = {Emilie Dufresne and
Heather A. Harrington and
Jonathan D. Hauenstein and
Panayotis G. Kevrekidis and
Paolo Tripoli},
title = {On some configurations of oppositely charged trapped vortices in the
plane},
journal = {Adv. Appl. Math.},
volume = {124},
pages = {102099},
year = {2021},
url = {https://doi.org/10.1016/j.aam.2020.102099},
doi = {10.1016/J.AAM.2020.102099},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/aam/DufresneHHKT21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/HauensteinDSV21,
author = {Jonathan D. Hauenstein and
Mohab Safey El Din and
{\'{E}}ric Schost and
Thi Xuan Vu},
title = {Solving determinantal systems using homotopy techniques},
journal = {J. Symb. Comput.},
volume = {104},
pages = {754--804},
year = {2021},
url = {https://doi.org/10.1016/j.jsc.2020.09.008},
doi = {10.1016/J.JSC.2020.09.008},
timestamp = {Tue, 15 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/HauensteinDSV21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/HauensteinLRS21,
author = {Jonathan D. Hauenstein and
Anton Leykin and
Jose Israel Rodriguez and
Frank Sottile},
title = {A numerical toolkit for multiprojective varieties},
journal = {Math. Comput.},
volume = {90},
number = {327},
pages = {413--440},
year = {2021},
url = {https://doi.org/10.1090/mcom/3566},
doi = {10.1090/MCOM/3566},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/moc/HauensteinLRS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iros/BaskarLPH21,
author = {Aravind Baskar and
Chang Liu and
Mark M. Plecnik and
Jonathan D. Hauenstein},
title = {Designing Rotary Linkages for Polar Motions},
booktitle = {{IEEE/RSJ} International Conference on Intelligent Robots and Systems,
{IROS} 2021, Prague, Czech Republic, September 27 - Oct. 1, 2021},
pages = {1384--1391},
publisher = {{IEEE}},
year = {2021},
url = {https://doi.org/10.1109/IROS51168.2021.9636587},
doi = {10.1109/IROS51168.2021.9636587},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/iros/BaskarLPH21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/synasc/BatesEHP21,
author = {Daniel J. Bates and
David Eklund and
Jonathan D. Hauenstein and
Chris Peterson},
editor = {Carsten Schneider and
Mircea Marin and
Viorel Negru and
Daniela Zaharie},
title = {Excess intersections and numerical irreducible decompositions},
booktitle = {23rd International Symposium on Symbolic and Numeric Algorithms for
Scientific Computing, {SYNASC} 2021, Timisoara, Romania, December
7-10, 2021},
pages = {52--60},
publisher = {{IEEE}},
year = {2021},
url = {https://doi.org/10.1109/SYNASC54541.2021.00021},
doi = {10.1109/SYNASC54541.2021.00021},
timestamp = {Wed, 08 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/synasc/BatesEHP21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2102-00115,
author = {Parker B. Edwards and
Jonathan D. Hauenstein and
Clifford D. Smyth},
title = {Certified evaluations of H{\"{o}}lder continuous functions at
roots of polynomials},
journal = {CoRR},
volume = {abs/2102.00115},
year = {2021},
url = {https://arxiv.org/abs/2102.00115},
eprinttype = {arXiv},
eprint = {2102.00115},
timestamp = {Tue, 09 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2102-00115.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HauensteinR20,
author = {Jonathan D. Hauenstein and
Margaret H. Regan},
title = {Real monodromy action},
journal = {Appl. Math. Comput.},
volume = {373},
pages = {124983},
year = {2020},
url = {https://doi.org/10.1016/j.amc.2019.124983},
doi = {10.1016/J.AMC.2019.124983},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/HauensteinR20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/HarrisHS20,
author = {Katherine Harris and
Jonathan D. Hauenstein and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {Smooth points on semi-algebraic sets},
journal = {{ACM} Commun. Comput. Algebra},
volume = {54},
number = {3},
pages = {105--108},
year = {2020},
url = {https://doi.org/10.1145/3457341.3457347},
doi = {10.1145/3457341.3457347},
timestamp = {Fri, 30 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cca/HarrisHS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cvpr/FabbriDFRPTWHGK20,
author = {Ricardo Fabbri and
Timothy Duff and
Hongyi Fan and
Margaret H. Regan and
David da Costa de Pinho and
Elias P. Tsigaridas and
Charles W. Wampler and
Jonathan D. Hauenstein and
Peter J. Giblin and
Benjamin B. Kimia and
Anton Leykin and
Tom{\'{a}}s Pajdla},
title = {{TRPLP} - Trifocal Relative Pose From Lines at Points},
booktitle = {2020 {IEEE/CVF} Conference on Computer Vision and Pattern Recognition,
{CVPR} 2020, Seattle, WA, USA, June 13-19, 2020},
pages = {12070--12080},
publisher = {Computer Vision Foundation / {IEEE}},
year = {2020},
url = {https://openaccess.thecvf.com/content\_CVPR\_2020/html/Fabbri\_TRPLP\_-\_Trifocal\_Relative\_Pose\_From\_Lines\_at\_Points\_CVPR\_2020\_paper.html},
doi = {10.1109/CVPR42600.2020.01209},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cvpr/FabbriDFRPTWHGK20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/HauensteinR20,
author = {Jonathan D. Hauenstein and
Margaret H. Regan},
editor = {Anna Maria Bigatti and
Jacques Carette and
James H. Davenport and
Michael Joswig and
Timo de Wolff},
title = {Evaluating and Differentiating a Polynomial Using a Pseudo-witness
Set},
booktitle = {Mathematical Software - {ICMS} 2020 - 7th International Conference,
Braunschweig, Germany, July 13-16, 2020, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {12097},
pages = {61--69},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-52200-1\_6},
doi = {10.1007/978-3-030-52200-1\_6},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/HauensteinR20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/imamr/HauensteinS20,
author = {Jonathan D. Hauenstein and
Samantha N. Sherman},
editor = {William Holderbaum and
Jon M. Selig},
title = {Using Monodromy to Statistically Estimate the Number of Solutions},
booktitle = {2nd {IMA} Conference on Mathematics of Robotics, Manchester, UK, 9-11
September 2020},
series = {Springer Proceedings in Advanced Robotics},
volume = {21},
pages = {37--46},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-91352-6\_4},
doi = {10.1007/978-3-030-91352-6\_4},
timestamp = {Sun, 12 Feb 2023 18:48:32 +0100},
biburl = {https://dblp.org/rec/conf/imamr/HauensteinS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/mc2/EdwardsHS20,
author = {Parker B. Edwards and
Jonathan D. Hauenstein and
Clifford D. Smyth},
editor = {Robert M. Corless and
J{\"{u}}rgen Gerhard and
Ilias S. Kotsireas},
title = {Certified Evaluations of H{\"{o}}lder Continuous Functions at
Roots of Polynomials},
booktitle = {Maple in Mathematics Education and Research - 4th Maple Conference,
{MC} 2020, Waterloo, Ontario, Canada, November 2-6, 2020, Revised
Selected Papers},
series = {Communications in Computer and Information Science},
volume = {1414},
pages = {185--203},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-81698-8\_13},
doi = {10.1007/978-3-030-81698-8\_13},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/mc2/EdwardsHS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-04707,
author = {Katherine Harris and
Jonathan D. Hauenstein and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {Smooth Points on Semi-algebraic Sets},
journal = {CoRR},
volume = {abs/2002.04707},
year = {2020},
url = {https://arxiv.org/abs/2002.04707},
eprinttype = {arXiv},
eprint = {2002.04707},
timestamp = {Fri, 14 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2002-04707.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2005-00327,
author = {Jonathan D. Hauenstein and
Samantha N. Sherman},
title = {Using monodromy to statistically estimate the number of solutions},
journal = {CoRR},
volume = {abs/2005.00327},
year = {2020},
url = {https://arxiv.org/abs/2005.00327},
eprinttype = {arXiv},
eprint = {2005.00327},
timestamp = {Fri, 08 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2005-00327.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2006-14078,
author = {Edgar A. Bernal and
Jonathan D. Hauenstein and
Dhagash Mehta and
Margaret H. Regan and
Tingting Tang},
title = {Machine learning the real discriminant locus},
journal = {CoRR},
volume = {abs/2006.14078},
year = {2020},
url = {https://arxiv.org/abs/2006.14078},
eprinttype = {arXiv},
eprint = {2006.14078},
timestamp = {Thu, 02 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2006-14078.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siaga/BrakeHSSS19,
author = {Danielle A. Brake and
Jonathan D. Hauenstein and
Frank{-}Olaf Schreyer and
Andrew J. Sommese and
Michael Eugene Stillman},
title = {Singular Value Decomposition of Complexes},
journal = {{SIAM} J. Appl. Algebra Geom.},
volume = {3},
number = {3},
pages = {507--522},
year = {2019},
url = {https://doi.org/10.1137/18M1189270},
doi = {10.1137/18M1189270},
timestamp = {Fri, 25 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siaga/BrakeHSSS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icmla/DufresneEHH19,
author = {Emilie Dufresne and
Parker B. Edwards and
Heather A. Harrington and
Jonathan D. Hauenstein},
editor = {M. Arif Wani and
Taghi M. Khoshgoftaar and
Dingding Wang and
Huanjing Wang and
Naeem Seliya},
title = {Sampling Real Algebraic Varieties for Topological Data Analysis},
booktitle = {18th {IEEE} International Conference On Machine Learning And Applications,
{ICMLA} 2019, Boca Raton, FL, USA, December 16-19, 2019},
pages = {1531--1536},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.1109/ICMLA.2019.00253},
doi = {10.1109/ICMLA.2019.00253},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icmla/DufresneEHH19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/mc2/HarringtonMBH19,
author = {Heather A. Harrington and
Dhagash Mehta and
Helen M. Byrne and
Jonathan D. Hauenstein},
editor = {J{\"{u}}rgen Gerhard and
Ilias S. Kotsireas},
title = {Decomposing the Parameter Space of Biological Networks via a Numerical
Discriminant Approach},
booktitle = {Maple in Mathematics Education and Research - Third Maple Conference,
{MC} 2019, Waterloo, Ontario, Canada, October 15-17, 2019, Proceedings},
series = {Communications in Computer and Information Science},
volume = {1125},
pages = {114--131},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-3-030-41258-6\_9},
doi = {10.1007/978-3-030-41258-6\_9},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/mc2/HarringtonMBH19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/synasc/Hauenstein19,
author = {Jonathan D. Hauenstein},
title = {Using Numerical Insights to Improve Symbolic Computations},
booktitle = {21st International Symposium on Symbolic and Numeric Algorithms for
Scientific Computing, {SYNASC} 2019, Timisoara, Romania, September
4-7, 2019},
pages = {11--16},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.1109/SYNASC49474.2019.00011},
doi = {10.1109/SYNASC49474.2019.00011},
timestamp = {Wed, 15 Apr 2020 15:27:07 +0200},
biburl = {https://dblp.org/rec/conf/synasc/Hauenstein19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/synasc/BrakeDHS19,
author = {Danielle A. Brake and
Noah S. Daleo and
Jonathan D. Hauenstein and
Samantha N. Sherman},
title = {Solving Critical Point Conditions for the Hamming and Taxicab Distances
to Solution Sets of Polynomial Equations},
booktitle = {21st International Symposium on Symbolic and Numeric Algorithms for
Scientific Computing, {SYNASC} 2019, Timisoara, Romania, September
4-7, 2019},
pages = {51--58},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.1109/SYNASC49474.2019.00017},
doi = {10.1109/SYNASC49474.2019.00017},
timestamp = {Wed, 15 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/synasc/BrakeDHS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1903-09755,
author = {Ricardo Fabbri and
Timothy Duff and
Hongyi Fan and
Margaret H. Regan and
David da Costa de Pinho and
Elias P. Tsigaridas and
Charles Wrampler and
Jonathan D. Hauenstein and
Benjamin B. Kimia and
Anton Leykin and
Tom{\'{a}}s Pajdla},
title = {Trifocal Relative Pose from Lines at Points and its Efficient Solution},
journal = {CoRR},
volume = {abs/1903.09755},
year = {2019},
url = {http://arxiv.org/abs/1903.09755},
eprinttype = {arXiv},
eprint = {1903.09755},
timestamp = {Wed, 27 Nov 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1903-09755.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-06020,
author = {Jonathan D. Hauenstein and
Martin Helmer},
title = {Probabilistic Saturations and Alt's Problem},
journal = {CoRR},
volume = {abs/1908.06020},
year = {2019},
url = {http://arxiv.org/abs/1908.06020},
eprinttype = {arXiv},
eprint = {1908.06020},
timestamp = {Sat, 23 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1908-06020.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HauensteinR18,
author = {Jonathan D. Hauenstein and
Margaret H. Regan},
title = {Adaptive strategies for solving parameterized systems using homotopy
continuation},
journal = {Appl. Math. Comput.},
volume = {332},
pages = {19--34},
year = {2018},
url = {https://doi.org/10.1016/j.amc.2018.03.028},
doi = {10.1016/J.AMC.2018.03.028},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/HauensteinR18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/HauensteinRS18,
author = {Jonathan D. Hauenstein and
Jose Israel Rodriguez and
Frank Sottile},
title = {Numerical Computation of Galois Groups},
journal = {Found. Comput. Math.},
volume = {18},
number = {4},
pages = {867--890},
year = {2018},
url = {https://doi.org/10.1007/s10208-017-9356-x},
doi = {10.1007/S10208-017-9356-X},
timestamp = {Fri, 13 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/focm/HauensteinRS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/AkogluHS18,
author = {Tulay Ayyildiz Akoglu and
Jonathan D. Hauenstein and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {Certifying solutions to overdetermined and singular polynomial systems
over {\(\mathbb{Q}\)}},
journal = {J. Symb. Comput.},
volume = {84},
pages = {147--171},
year = {2018},
url = {https://doi.org/10.1016/j.jsc.2017.03.004},
doi = {10.1016/J.JSC.2017.03.004},
timestamp = {Wed, 14 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/AkogluHS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siaga/CossHHM18,
author = {Owen Coss and
Jonathan D. Hauenstein and
Hoon Hong and
Daniel K. Molzahn},
title = {Locating and Counting Equilibria of the Kuramoto Model with Rank-One
Coupling},
journal = {{SIAM} J. Appl. Algebra Geom.},
volume = {2},
number = {1},
pages = {45--71},
year = {2018},
url = {https://doi.org/10.1137/17M1128198},
doi = {10.1137/17M1128198},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siaga/CossHHM18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siaga/HauensteinSW18,
author = {Jonathan D. Hauenstein and
Samantha N. Sherman and
Charles W. Wampler},
title = {Exceptional Stewart-Gough Platforms, Segre Embeddings, and the Special
Euclidean Group},
journal = {{SIAM} J. Appl. Algebra Geom.},
volume = {2},
number = {1},
pages = {179--205},
year = {2018},
url = {https://doi.org/10.1137/17M1114284},
doi = {10.1137/17M1114284},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siaga/HauensteinSW18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/HauensteinKSS18,
author = {Jonathan D. Hauenstein and
Avinash Kulkarni and
Emre Can Sert{\"{o}}z and
Samantha N. Sherman},
editor = {James H. Davenport and
Manuel Kauers and
George Labahn and
Josef Urban},
title = {Certifying Reality of Projections},
booktitle = {Mathematical Software - {ICMS} 2018 - 6th International Conference,
South Bend, IN, USA, July 24-27, 2018, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {10931},
pages = {200--208},
publisher = {Springer},
year = {2018},
url = {https://doi.org/10.1007/978-3-319-96418-8\_24},
doi = {10.1007/978-3-319-96418-8\_24},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/HauensteinKSS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/BrakeHR18,
author = {Danielle A. Brake and
Jonathan D. Hauenstein and
Margaret H. Regan},
editor = {James H. Davenport and
Manuel Kauers and
George Labahn and
Josef Urban},
title = {polyTop: Software for Computing Topology of Smooth Real Surfaces},
booktitle = {Mathematical Software - {ICMS} 2018 - 6th International Conference,
South Bend, IN, USA, July 24-27, 2018, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {10931},
pages = {397--404},
publisher = {Springer},
year = {2018},
url = {https://doi.org/10.1007/978-3-319-96418-8\_47},
doi = {10.1007/978-3-319-96418-8\_47},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/BrakeHR18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1801-10285,
author = {Shaunak D. Bopardikar and
Dhagash Mehta and
Jonathan D. Hauenstein},
title = {Optimal Configurations in Coverage Control with Polynomial Costs},
journal = {CoRR},
volume = {abs/1801.10285},
year = {2018},
url = {http://arxiv.org/abs/1801.10285},
eprinttype = {arXiv},
eprint = {1801.10285},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1801-10285.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1802-10409,
author = {Jonathan D. Hauenstein and
Mohab Safey El Din and
{\'{E}}ric Schost and
Thi Xuan Vu},
title = {Solving determinantal systems using homotopy techniques},
journal = {CoRR},
volume = {abs/1802.10409},
year = {2018},
url = {http://arxiv.org/abs/1802.10409},
eprinttype = {arXiv},
eprint = {1802.10409},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1802-10409.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1810-07716,
author = {Dhagash Mehta and
Tianran Chen and
Tingting Tang and
Jonathan D. Hauenstein},
title = {The loss surface of deep linear networks viewed through the algebraic
geometry lens},
journal = {CoRR},
volume = {abs/1810.07716},
year = {2018},
url = {http://arxiv.org/abs/1810.07716},
eprinttype = {arXiv},
eprint = {1810.07716},
timestamp = {Thu, 01 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1810-07716.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HauensteinW17,
author = {Jonathan D. Hauenstein and
Charles W. Wampler},
title = {Unification and extension of intersection algorithms in numerical
algebraic geometry},
journal = {Appl. Math. Comput.},
volume = {293},
pages = {226--243},
year = {2017},
url = {https://doi.org/10.1016/j.amc.2016.08.023},
doi = {10.1016/J.AMC.2016.08.023},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/HauensteinW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/MahdiPH17,
author = {Adam Mahdi and
Claudio Gomes Pessoa and
Jonathan D. Hauenstein},
title = {A hybrid symbolic-numerical approach to the center-focus problem},
journal = {J. Symb. Comput.},
volume = {82},
pages = {57--73},
year = {2017},
url = {https://doi.org/10.1016/j.jsc.2016.11.019},
doi = {10.1016/J.JSC.2016.11.019},
timestamp = {Thu, 18 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsc/MahdiPH17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/HauensteinMS17,
author = {Jonathan D. Hauenstein and
Bernard Mourrain and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {On deflation and multiplicity structure},
journal = {J. Symb. Comput.},
volume = {83},
pages = {228--253},
year = {2017},
url = {https://doi.org/10.1016/j.jsc.2016.11.013},
doi = {10.1016/J.JSC.2016.11.013},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/HauensteinMS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/BrakeBHHSW17,
author = {Daniel A. Brake and
Daniel J. Bates and
Wenrui Hao and
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
title = {Algorithm 976: Bertini{\_}real: Numerical Decomposition of Real Algebraic
Curves and Surfaces},
journal = {{ACM} Trans. Math. Softw.},
volume = {44},
number = {1},
pages = {10:1--10:30},
year = {2017},
url = {https://doi.org/10.1145/3056528},
doi = {10.1145/3056528},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/toms/BrakeBHHSW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/macis/Hauenstein17,
author = {Jonathan D. Hauenstein},
editor = {Johannes Bl{\"{o}}mer and
Ilias S. Kotsireas and
Temur Kutsia and
Dimitris E. Simos},
title = {Certification Using Newton-Invariant Subspaces},
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 = {34--50},
publisher = {Springer},
year = {2017},
url = {https://doi.org/10.1007/978-3-319-72453-9\_3},
doi = {10.1007/978-3-319-72453-9\_3},
timestamp = {Tue, 14 May 2019 10:00:52 +0200},
biburl = {https://dblp.org/rec/conf/macis/Hauenstein17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/macis/BatesBHSW17,
author = {Daniel J. Bates and
Daniel A. Brake and
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
editor = {Johannes Bl{\"{o}}mer and
Ilias S. Kotsireas and
Temur Kutsia and
Dimitris E. Simos},
title = {Homotopies for Connected Components of Algebraic Sets with Application
to Computing Critical Sets},
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 = {107--120},
publisher = {Springer},
year = {2017},
url = {https://doi.org/10.1007/978-3-319-72453-9\_8},
doi = {10.1007/978-3-319-72453-9\_8},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/macis/BatesBHSW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/GesmundoHIL16,
author = {Fulvio Gesmundo and
Jonathan D. Hauenstein and
Christian Ikenmeyer and
J. M. Landsberg},
title = {Complexity of Linear Circuits and Geometry},
journal = {Found. Comput. Math.},
volume = {16},
number = {3},
pages = {599--635},
year = {2016},
url = {https://doi.org/10.1007/s10208-015-9258-8},
doi = {10.1007/S10208-015-9258-8},
timestamp = {Fri, 13 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/focm/GesmundoHIL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/HauensteinHS16,
author = {Jonathan D. Hauenstein and
Nickolas Hein and
Frank Sottile},
title = {A Primal-Dual Formulation for Certifiable Computations in Schubert
Calculus},
journal = {Found. Comput. Math.},
volume = {16},
number = {4},
pages = {941--963},
year = {2016},
url = {https://doi.org/10.1007/s10208-015-9270-z},
doi = {10.1007/S10208-015-9270-Z},
timestamp = {Fri, 13 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/focm/HauensteinHS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/DaleoH16,
author = {Noah S. Daleo and
Jonathan D. Hauenstein},
title = {Numerically deciding the arithmetically Cohen-Macaulayness of a projective
scheme},
journal = {J. Symb. Comput.},
volume = {72},
pages = {128--146},
year = {2016},
url = {https://doi.org/10.1016/j.jsc.2015.01.001},
doi = {10.1016/J.JSC.2015.01.001},
timestamp = {Wed, 14 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/DaleoH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/HauensteinL16,
author = {Jonathan D. Hauenstein and
Alan C. Liddell Jr.},
title = {Certified predictor-corrector tracking for Newton homotopies},
journal = {J. Symb. Comput.},
volume = {74},
pages = {239--254},
year = {2016},
url = {https://doi.org/10.1016/j.jsc.2015.07.001},
doi = {10.1016/J.JSC.2015.07.001},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/HauensteinL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BatesHNS16,
author = {Daniel J. Bates and
Jonathan D. Hauenstein and
Matthew E. Niemerg and
Frank Sottile},
title = {Software for the Gale transform of fewnomial systems and a Descartes
rule for fewnomials},
journal = {Numer. Algorithms},
volume = {73},
number = {1},
pages = {281--304},
year = {2016},
url = {https://doi.org/10.1007/s11075-015-0095-2},
doi = {10.1007/S11075-015-0095-2},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BatesHNS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/BrakeHL16,
author = {Daniel A. Brake and
Jonathan D. Hauenstein and
Alan C. Liddell Jr.},
editor = {Gert{-}Martin Greuel and
Thorsten Koch and
Peter Paule and
Andrew J. Sommese},
title = {Decomposing Solution Sets of Polynomial Systems Using Derivatives},
booktitle = {Mathematical Software - {ICMS} 2016 - 5th International Conference,
Berlin, Germany, July 11-14, 2016, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9725},
pages = {127--135},
publisher = {Springer},
year = {2016},
url = {https://doi.org/10.1007/978-3-319-42432-3\_16},
doi = {10.1007/978-3-319-42432-3\_16},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/BrakeHL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/BrakeHL16,
author = {Daniel A. Brake and
Jonathan D. Hauenstein and
Alan C. Liddell Jr.},
editor = {Sergei A. Abramov and
Eugene V. Zima and
Xiao{-}Shan Gao},
title = {Validating the Completeness of the Real Solution Set of a System of
Polynomial Equations},
booktitle = {Proceedings of the {ACM} on International Symposium on Symbolic and
Algebraic Computation, {ISSAC} 2016, Waterloo, ON, Canada, July 19-22,
2016},
pages = {143--150},
publisher = {{ACM}},
year = {2016},
url = {https://doi.org/10.1145/2930889.2930910},
doi = {10.1145/2930889.2930910},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/issac/BrakeHL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BrakeHL16,
author = {Daniel A. Brake and
Jonathan D. Hauenstein and
Alan C. Liddell Jr.},
title = {Numerically validating the completeness of the real solution set of
a system of polynomial equations},
journal = {CoRR},
volume = {abs/1602.00700},
year = {2016},
url = {http://arxiv.org/abs/1602.00700},
eprinttype = {arXiv},
eprint = {1602.00700},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BrakeHL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/MolzahnNMH16,
author = {Daniel K. Molzahn and
Matthew E. Niemerg and
Dhagash Mehta and
Jonathan D. Hauenstein},
title = {Investigating the Maximum Number of Real Solutions to the Power Flow
Equations: Analysis of Lossless Four-Bus Systems},
journal = {CoRR},
volume = {abs/1603.05908},
year = {2016},
url = {http://arxiv.org/abs/1603.05908},
eprinttype = {arXiv},
eprint = {1603.05908},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/MolzahnNMH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/em/HauensteinLLM15,
author = {Jonathan D. Hauenstein and
Antonio Lerario and
Erik Lundberg and
Dhagash Mehta},
title = {Experiments on the Zeros of Harmonic Polynomials Using Certified Counting},
journal = {Exp. Math.},
volume = {24},
number = {2},
pages = {133--141},
year = {2015},
url = {https://doi.org/10.1080/10586458.2014.966180},
doi = {10.1080/10586458.2014.966180},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/em/HauensteinLLM15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cap/HauensteinL15,
author = {Jonathan D. Hauenstein and
Alan C. Liddell Jr.},
editor = {Jean{-}Guillaume Dumas and
Erich L. Kaltofen and
Cl{\'{e}}ment Pernet},
title = {A hybrid symbolic-numeric approach to exceptional sets of generically
zero-dimensional systems},
booktitle = {Proceedings of the 2015 International Workshop on Parallel Symbolic
Computation, {PASCO} 2015, Bath, United Kingdom, July 10-12, 2015},
pages = {53--60},
publisher = {{ACM}},
year = {2015},
url = {https://doi.org/10.1145/2790282.2790288},
doi = {10.1145/2790282.2790288},
timestamp = {Thu, 11 Mar 2021 17:04:51 +0100},
biburl = {https://dblp.org/rec/conf/cap/HauensteinL15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/HauensteinMS15,
author = {Jonathan D. Hauenstein and
Bernard Mourrain and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
editor = {Kazuhiro Yokoyama and
Steve Linton and
Daniel Robertz},
title = {Certifying Isolated Singular Points and their Multiplicity Structure},
booktitle = {Proceedings of the 2015 {ACM} on International Symposium on Symbolic
and Algebraic Computation, {ISSAC} 2015, Bath, United Kingdom, July
06 - 09, 2015},
pages = {213--220},
publisher = {{ACM}},
year = {2015},
url = {https://doi.org/10.1145/2755996.2756645},
doi = {10.1145/2755996.2756645},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/HauensteinMS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/macis/BrakeHS15,
author = {Daniel A. Brake and
Jonathan D. Hauenstein and
Andrew J. Sommese},
editor = {Ilias S. Kotsireas and
Siegfried M. Rump and
Chee K. Yap},
title = {Numerical Local Irreducible Decomposition},
booktitle = {Mathematical Aspects of Computer and Information Sciences - 6th International
Conference, {MACIS} 2015, Berlin, Germany, November 11-13, 2015, Revised
Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {9582},
pages = {124--129},
publisher = {Springer},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-32859-1\_9},
doi = {10.1007/978-3-319-32859-1\_9},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/macis/BrakeHS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/macis/DaleoH15,
author = {Noah S. Daleo and
Jonathan D. Hauenstein},
editor = {Ilias S. Kotsireas and
Siegfried M. Rump and
Chee K. Yap},
title = {Numerically Testing Generically Reduced Projective Schemes for the
Arithmetic Gorenstein Property},
booktitle = {Mathematical Aspects of Computer and Information Sciences - 6th International
Conference, {MACIS} 2015, Berlin, Germany, November 11-13, 2015, Revised
Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {9582},
pages = {137--142},
publisher = {Springer},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-32859-1\_11},
doi = {10.1007/978-3-319-32859-1\_11},
timestamp = {Mon, 22 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/macis/DaleoH15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BatesHNS15,
author = {Daniel J. Bates and
Jonathan D. Hauenstein and
Matthew E. Niemerg and
Frank Sottile},
title = {Software for the Gale transform of fewnomial systems and a Descartes
rule for fewnomials},
journal = {CoRR},
volume = {abs/1505.05241},
year = {2015},
url = {http://arxiv.org/abs/1505.05241},
eprinttype = {arXiv},
eprint = {1505.05241},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BatesHNS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/BatesDHPPSSW14,
author = {Daniel J. Bates and
Wolfram Decker and
Jonathan D. Hauenstein and
Chris Peterson and
Gerhard Pfister and
Frank{-}Olaf Schreyer and
Andrew J. Sommese and
Charles W. Wampler},
title = {Comparison of probabilistic algorithms for analyzing the components
of an affine algebraic variety},
journal = {Appl. Math. Comput.},
volume = {231},
pages = {619--633},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2013.12.165},
doi = {10.1016/J.AMC.2013.12.165},
timestamp = {Wed, 08 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/BatesDHPPSSW14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/HaoHHS14,
author = {Wenrui Hao and
Jonathan D. Hauenstein and
Bei Hu and
Andrew J. Sommese},
title = {A bootstrapping approach for computing multiple solutions of differential
equations},
journal = {J. Comput. Appl. Math.},
volume = {258},
pages = {181--190},
year = {2014},
url = {https://doi.org/10.1016/j.cam.2013.09.007},
doi = {10.1016/J.CAM.2013.09.007},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/HaoHHS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mics/HauensteinS14,
author = {Jonathan D. Hauenstein and
Frank Sottile},
title = {Newton Polytopes and Witness Sets},
journal = {Math. Comput. Sci.},
volume = {8},
number = {2},
pages = {235--251},
year = {2014},
url = {https://doi.org/10.1007/s11786-014-0189-6},
doi = {10.1007/S11786-014-0189-6},
timestamp = {Wed, 12 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mics/HauensteinS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/HauensteinPS14,
author = {Jonathan D. Hauenstein and
Victor Y. Pan and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Werner M. Seiler and
Evgenii V. Vorozhtsov},
title = {A Note on Global Newton Iteration Over Archimedean and Non-Archimedean
Fields},
booktitle = {Computer Algebra in Scientific Computing - 16th International Workshop,
{CASC} 2014, Warsaw, Poland, September 8-12, 2014. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8660},
pages = {202--217},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-319-10515-4\_15},
doi = {10.1007/978-3-319-10515-4\_15},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/casc/HauensteinPS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/BrakeBHHSW14,
author = {Daniel A. Brake and
Daniel J. Bates and
Wenrui Hao and
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
editor = {Hoon Hong and
Chee Yap},
title = {Bertini{\_}real: Software for One- and Two-Dimensional Real Algebraic
Sets},
booktitle = {Mathematical Software - {ICMS} 2014 - 4th International Congress,
Seoul, South Korea, August 5-9, 2014. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8592},
pages = {175--182},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-662-44199-2\_29},
doi = {10.1007/978-3-662-44199-2\_29},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/BrakeBHHSW14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/BatesBHSW14,
author = {Daniel J. Bates and
Daniel A. Brake and
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
editor = {Hoon Hong and
Chee Yap},
title = {On Computing a Cell Decomposition of a Real Surface Containing Infinitely
Many Singularities},
booktitle = {Mathematical Software - {ICMS} 2014 - 4th International Congress,
Seoul, South Korea, August 5-9, 2014. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8592},
pages = {246--252},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-662-44199-2\_39},
doi = {10.1007/978-3-662-44199-2\_39},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/BatesBHSW14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/HauensteinHL14,
author = {Jonathan D. Hauenstein and
Ian Haywood and
Alan C. Liddell Jr.},
editor = {Katsusuke Nabeshima and
Kosaku Nagasaka and
Franz Winkler and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {An \emph{a posteriori} certification algorithm for Newton homotopies},
booktitle = {International Symposium on Symbolic and Algebraic Computation, {ISSAC}
'14, Kobe, Japan, July 23-25, 2014},
pages = {248--255},
publisher = {{ACM}},
year = {2014},
url = {https://doi.org/10.1145/2608628.2608651},
doi = {10.1145/2608628.2608651},
timestamp = {Fri, 08 Mar 2019 15:12:48 +0100},
biburl = {https://dblp.org/rec/conf/issac/HauensteinHL14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/HauensteinPS14,
author = {Jonathan D. Hauenstein and
Victor Y. Pan and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {Global Newton Iteration over Archimedean and non-Archimedean Fields},
journal = {CoRR},
volume = {abs/1404.5525},
year = {2014},
url = {http://arxiv.org/abs/1404.5525},
eprinttype = {arXiv},
eprint = {1404.5525},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/HauensteinPS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/AkogluHS14,
author = {Tulay Ayyildiz Akoglu and
Jonathan D. Hauenstein and
{\'{A}}gnes Sz{\'{a}}nt{\'{o}}},
title = {Certifying solutions to overdetermined and singular polynomial systems
over {Q}},
journal = {CoRR},
volume = {abs/1408.2721},
year = {2014},
url = {http://arxiv.org/abs/1408.2721},
eprinttype = {arXiv},
eprint = {1408.2721},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/AkogluHS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/ClevelandDHHMMRS14,
author = {Joseph Cleveland and
Jeffrey Dzugan and
Jonathan D. Hauenstein and
Ian Haywood and
Dhagash Mehta and
Anthony Morse and
Leonardo Robol and
Taylor Schlenk},
title = {Certified counting of roots of random univariate polynomials},
journal = {CoRR},
volume = {abs/1412.1717},
year = {2014},
url = {http://arxiv.org/abs/1412.1717},
eprinttype = {arXiv},
eprint = {1412.1717},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/ClevelandDHHMMRS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/daglib/0032895,
author = {Daniel J. Bates and
Andrew J. Sommese and
Jonathan D. Hauenstein and
Charles W. Wampler},
title = {Numerically Solving Polynomial Systems with Bertini},
series = {Software, environments, tools},
volume = {25},
publisher = {{SIAM}},
year = {2013},
url = {http://bookstore.siam.org/se25/},
isbn = {978-1-611972-69-6},
timestamp = {Thu, 28 Apr 2016 01:00:00 +0200},
biburl = {https://dblp.org/rec/books/daglib/0032895.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HauensteinW13,
author = {Jonathan D. Hauenstein and
Charles W. Wampler},
title = {Numerically intersecting algebraic varieties via witness sets},
journal = {Appl. Math. Comput.},
volume = {219},
number = {10},
pages = {5730--5742},
year = {2013},
url = {https://doi.org/10.1016/j.amc.2012.06.034},
doi = {10.1016/J.AMC.2012.06.034},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/HauensteinW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HauensteinS13,
author = {Jonathan D. Hauenstein and
Andrew J. Sommese},
title = {Membership tests for images of algebraic sets by linear projections},
journal = {Appl. Math. Comput.},
volume = {219},
number = {12},
pages = {6809--6818},
year = {2013},
url = {https://doi.org/10.1016/j.amc.2012.12.060},
doi = {10.1016/J.AMC.2012.12.060},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/HauensteinS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/em/BatesHMPS13,
author = {Daniel J. Bates and
Jonathan D. Hauenstein and
Timothy M. McCoy and
Chris Peterson and
Andrew J. Sommese},
title = {Recovering Exact Results from Inexact Numerical Data in Algebraic
Geometry},
journal = {Exp. Math.},
volume = {22},
number = {1},
pages = {38--50},
year = {2013},
url = {https://doi.org/10.1080/10586458.2013.737640},
doi = {10.1080/10586458.2013.737640},
timestamp = {Wed, 08 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/em/BatesHMPS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/em/HauensteinIL13,
author = {Jonathan D. Hauenstein and
Christian Ikenmeyer and
J. M. Landsberg},
title = {Equations for Lower Bounds on Border Rank},
journal = {Exp. Math.},
volume = {22},
number = {4},
pages = {372--383},
year = {2013},
url = {https://doi.org/10.1080/10586458.2013.825892},
doi = {10.1080/10586458.2013.825892},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/em/HauensteinIL13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/HauensteinW13,
author = {Jonathan D. Hauenstein and
Charles W. Wampler},
title = {Isosingular Sets and Deflation},
journal = {Found. Comput. Math.},
volume = {13},
number = {3},
pages = {371--403},
year = {2013},
url = {https://doi.org/10.1007/s10208-013-9147-y},
doi = {10.1007/S10208-013-9147-Y},
timestamp = {Fri, 13 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/focm/HauensteinW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/HaoHHMS13,
author = {Wenrui Hao and
Jonathan D. Hauenstein and
Bei Hu and
Timothy M. McCoy and
Andrew J. Sommese},
title = {Computing steady-state solutions for a free boundary problem modeling
tumor growth by Stokes equation},
journal = {J. Comput. Appl. Math.},
volume = {237},
number = {1},
pages = {326--334},
year = {2013},
url = {https://doi.org/10.1016/j.cam.2012.06.001},
doi = {10.1016/J.CAM.2012.06.001},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/HaoHHMS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/HaoHSSXZ13,
author = {Wenrui Hao and
Jonathan D. Hauenstein and
Chi{-}Wang Shu and
Andrew J. Sommese and
Zhiliang Xu and
Yong{-}Tao Zhang},
title = {A homotopy method based on {WENO} schemes for solving steady state
problems of hyperbolic conservation laws},
journal = {J. Comput. Phys.},
volume = {250},
pages = {332--346},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.05.008},
doi = {10.1016/J.JCP.2013.05.008},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/HaoHSSXZ13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BesanaRHSW13,
author = {Gian Mario Besana and
Sandra Di Rocco and
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
title = {Cell decomposition of almost smooth real algebraic surfaces},
journal = {Numer. Algorithms},
volume = {63},
number = {4},
pages = {645--678},
year = {2013},
url = {https://doi.org/10.1007/s11075-012-9646-y},
doi = {10.1007/S11075-012-9646-Y},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BesanaRHSW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1305-0779,
author = {Jonathan D. Hauenstein and
Christian Ikenmeyer and
J. M. Landsberg},
title = {Computer aided methods for lower bounds on the border rank},
journal = {CoRR},
volume = {abs/1305.0779},
year = {2013},
url = {http://arxiv.org/abs/1305.0779},
eprinttype = {arXiv},
eprint = {1305.0779},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1305-0779.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/GesmundoHIL13,
author = {Fulvio Gesmundo and
Jonathan D. Hauenstein and
Christian Ikenmeyer and
J. M. Landsberg},
title = {Complexity of linear circuits and geometry},
journal = {CoRR},
volume = {abs/1310.1362},
year = {2013},
url = {http://arxiv.org/abs/1310.1362},
eprinttype = {arXiv},
eprint = {1310.1362},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/GesmundoHIL13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/HaoHHLSZ12,
author = {Wenrui Hao and
Jonathan D. Hauenstein and
Bei Hu and
Yuan Liu and
Andrew J. Sommese and
Yong{-}Tao Zhang},
title = {Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic
Core},
journal = {J. Sci. Comput.},
volume = {53},
number = {2},
pages = {395--413},
year = {2012},
url = {https://doi.org/10.1007/s10915-012-9575-x},
doi = {10.1007/S10915-012-9575-X},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/HaoHHLSZ12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/HauensteinS12,
author = {Jonathan D. Hauenstein and
Frank Sottile},
title = {Algorithm 921: alphaCertified: Certifying Solutions to Polynomial
Systems},
journal = {{ACM} Trans. Math. Softw.},
volume = {38},
number = {4},
pages = {28:1--28:20},
year = {2012},
url = {https://doi.org/10.1145/2331130.2331136},
doi = {10.1145/2331130.2331136},
timestamp = {Tue, 16 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/toms/HauensteinS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HauensteinSW11,
author = {Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
title = {Regenerative cascade homotopies for solving polynomial systems},
journal = {Appl. Math. Comput.},
volume = {218},
number = {4},
pages = {1240--1246},
year = {2011},
url = {https://doi.org/10.1016/j.amc.2011.06.004},
doi = {10.1016/J.AMC.2011.06.004},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/HauensteinSW11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HaoHHS11,
author = {Wenrui Hao and
Jonathan D. Hauenstein and
Bei Hu and
Andrew J. Sommese},
title = {A three-dimensional steady-state tumor system},
journal = {Appl. Math. Comput.},
volume = {218},
number = {6},
pages = {2661--2669},
year = {2011},
url = {https://doi.org/10.1016/j.amc.2011.08.006},
doi = {10.1016/J.AMC.2011.08.006},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/HaoHHS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/HauensteinSW11,
author = {Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
title = {Regeneration homotopies for solving systems of polynomials},
journal = {Math. Comput.},
volume = {80},
number = {273},
pages = {345--377},
year = {2011},
url = {https://doi.org/10.1090/S0025-5718-2010-02399-3},
doi = {10.1090/S0025-5718-2010-02399-3},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/HauensteinSW11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BatesHS11,
author = {Daniel J. Bates and
Jonathan D. Hauenstein and
Andrew J. Sommese},
title = {Efficient path tracking methods},
journal = {Numer. Algorithms},
volume = {58},
number = {4},
pages = {451--459},
year = {2011},
url = {https://doi.org/10.1007/s11075-011-9463-8},
doi = {10.1007/S11075-011-9463-8},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/BatesHS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/HauensteinS10,
author = {Jonathan D. Hauenstein and
Andrew J. Sommese},
title = {Witness sets of projections},
journal = {Appl. Math. Comput.},
volume = {217},
number = {7},
pages = {3349--3354},
year = {2010},
url = {https://doi.org/10.1016/j.amc.2010.08.067},
doi = {10.1016/J.AMC.2010.08.067},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/HauensteinS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1011-1091,
author = {Jonathan D. Hauenstein and
Frank Sottile},
title = {alphaCertified: certifying solutions to polynomial systems},
journal = {CoRR},
volume = {abs/1011.1091},
year = {2010},
url = {http://arxiv.org/abs/1011.1091},
eprinttype = {arXiv},
eprint = {1011.1091},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1011-1091.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BatesHPS09,
author = {Daniel J. Bates and
Jonathan D. Hauenstein and
Chris Peterson and
Andrew J. Sommese},
title = {A Numerical Local Dimension Test for Points on the Solution Set of
a System of Polynomial Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {47},
number = {5},
pages = {3608--3623},
year = {2009},
url = {https://doi.org/10.1137/08073264X},
doi = {10.1137/08073264X},
timestamp = {Wed, 08 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/BatesHPS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BatesHSWW08,
author = {Daniel J. Bates and
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler},
title = {Adaptive Multiprecision Path Tracking},
journal = {{SIAM} J. Numer. Anal.},
volume = {46},
number = {2},
pages = {722--746},
year = {2008},
url = {https://doi.org/10.1137/060658862},
doi = {10.1137/060658862},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/BatesHSWW08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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