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@article{DBLP:journals/coap/NakayamaNY24,
author = {Shummin Nakayama and
Yasushi Narushima and
Hiroshi Yabe},
title = {Inexact proximal {DC} Newton-type method for nonconvex composite functions},
journal = {Comput. Optim. Appl.},
volume = {87},
number = {2},
pages = {611--640},
year = {2024},
url = {https://doi.org/10.1007/s10589-023-00525-9},
doi = {10.1007/S10589-023-00525-9},
timestamp = {Thu, 29 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/coap/NakayamaNY24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/ArgyrosG24,
author = {Ioannis K. Argyros and
Santhosh George},
title = {On a unified convergence analysis for Newton-type methods solving
generalized equations with the Aubin property},
journal = {J. Complex.},
volume = {81},
pages = {101817},
year = {2024},
url = {https://doi.org/10.1016/j.jco.2023.101817},
doi = {10.1016/J.JCO.2023.101817},
timestamp = {Tue, 20 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jc/ArgyrosG24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2401-00236,
author = {Yao Sun and
Pan Wang},
title = {Simultaneously determine elastic impedance and shape by a Newton-type
iterative method},
journal = {CoRR},
volume = {abs/2401.00236},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2401.00236},
doi = {10.48550/ARXIV.2401.00236},
eprinttype = {arXiv},
eprint = {2401.00236},
timestamp = {Mon, 15 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2401-00236.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/MoufawadN23,
author = {Sophie M. Moufawad and
Nabil R. Nassif},
title = {Newton type methods for solving a Hasegawa-Mima plasma model},
journal = {Appl. Math. Comput.},
volume = {459},
pages = {128141},
year = {2023},
url = {https://doi.org/10.1016/j.amc.2023.128141},
doi = {10.1016/J.AMC.2023.128141},
timestamp = {Thu, 14 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/MoufawadN23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cam/AminifardB23,
author = {Zohre Aminifard and
Saman Babaie{-}Kafaki},
title = {A diagonally scaled Newton-type proximal method for minimization of
the models with nonsmooth composite cost functions},
journal = {Comput. Appl. Math.},
volume = {42},
number = {8},
pages = {353},
year = {2023},
url = {https://doi.org/10.1007/s40314-023-02494-5},
doi = {10.1007/S40314-023-02494-5},
timestamp = {Sat, 13 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cam/AminifardB23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jota/SunKQ23,
author = {Jun Sun and
Lingchen Kong and
Biao Qu},
title = {A Greedy Newton-Type Method for Multiple Sparse Constraint Problem},
journal = {J. Optim. Theory Appl.},
volume = {196},
number = {3},
pages = {829--854},
year = {2023},
url = {https://doi.org/10.1007/s10957-022-02156-2},
doi = {10.1007/S10957-022-02156-2},
timestamp = {Sun, 16 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jota/SunKQ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mp/MordukhovichYZZ23,
author = {Boris S. Mordukhovich and
Xiaoming Yuan and
Shangzhi Zeng and
Jin Zhang},
title = {A globally convergent proximal Newton-type method in nonsmooth convex
optimization},
journal = {Math. Program.},
volume = {198},
number = {1},
pages = {899--936},
year = {2023},
url = {https://doi.org/10.1007/s10107-022-01797-5},
doi = {10.1007/S10107-022-01797-5},
timestamp = {Wed, 01 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mp/MordukhovichYZZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/CandelarioCTV23,
author = {Giro Candelario and
Alicia Cordero and
Juan R. Torregrosa and
Mar{\'{\i}}a P. Vassileva},
title = {Generalized conformable fractional Newton-type method for solving
nonlinear systems},
journal = {Numer. Algorithms},
volume = {93},
number = {3},
pages = {1171--1208},
year = {2023},
url = {https://doi.org/10.1007/s11075-022-01463-z},
doi = {10.1007/S11075-022-01463-Z},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/CandelarioCTV23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/oms/AminifardB23,
author = {Zohre Aminifard and
Saman Babaie{-}Kafaki},
title = {An approximate Newton-type proximal method using symmetric rank-one
updating formula for minimizing the nonsmooth composite functions},
journal = {Optim. Methods Softw.},
volume = {38},
number = {3},
pages = {529--542},
year = {2023},
url = {https://doi.org/10.1080/10556788.2022.2142587},
doi = {10.1080/10556788.2022.2142587},
timestamp = {Fri, 18 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/oms/AminifardB23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/oms/Ansary23,
author = {Md Abu Talhamainuddin Ansary},
title = {A Newton-type proximal gradient method for nonlinear multi-objective
optimization problems},
journal = {Optim. Methods Softw.},
volume = {38},
number = {3},
pages = {570--590},
year = {2023},
url = {https://doi.org/10.1080/10556788.2022.2157000},
doi = {10.1080/10556788.2022.2157000},
timestamp = {Wed, 16 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/oms/Ansary23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/ArgyrosSRY23,
author = {Ioannis K. Argyros and
Stepan Shakhno and
Samundra Regmi and
Halyna Yarmola},
title = {Newton-Type Methods for Solving Equations in Banach Spaces: {A} Unified
Approach},
journal = {Symmetry},
volume = {15},
number = {1},
pages = {15},
year = {2023},
url = {https://doi.org/10.3390/sym15010015},
doi = {10.3390/SYM15010015},
timestamp = {Tue, 31 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/symmetry/ArgyrosSRY23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-13820,
author = {Robert Altmann and
Daniel Peterseim and
Tatjana Stykel},
title = {Riemannian Newton methods for energy minimization problems of Kohn-Sham
type},
journal = {CoRR},
volume = {abs/2307.13820},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.13820},
doi = {10.48550/ARXIV.2307.13820},
eprinttype = {arXiv},
eprint = {2307.13820},
timestamp = {Wed, 02 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-13820.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/KokurinKS22,
author = {Mikhail M. Kokurin and
Mikhail Yu. Kokurin and
Anastasiia V. Semenova},
title = {Iteratively regularized Gauss-Newton type methods for approximating
quasi-solutions of irregular nonlinear operator equations in Hilbert
space with an application to {COVID-19} epidemic dynamics},
journal = {Appl. Math. Comput.},
volume = {431},
pages = {127312},
year = {2022},
url = {https://doi.org/10.1016/j.amc.2022.127312},
doi = {10.1016/J.AMC.2022.127312},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/KokurinKS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/CandelarioCTV22,
author = {Giro Candelario and
Alicia Cordero and
Juan R. Torregrosa and
Mar{\'{\i}}a P. Vassileva},
title = {An optimal and low computational cost fractional Newton-type method
for solving nonlinear equations},
journal = {Appl. Math. Lett.},
volume = {124},
pages = {107650},
year = {2022},
url = {https://doi.org/10.1016/j.aml.2021.107650},
doi = {10.1016/J.AML.2021.107650},
timestamp = {Wed, 15 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/appml/CandelarioCTV22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/coap/GoncalvesLP22,
author = {Max L. N. Gon{\c{c}}alves and
Fernando S. Lima and
Leandro da Fonseca Prudente},
title = {Globally convergent Newton-type methods for multiobjective optimization},
journal = {Comput. Optim. Appl.},
volume = {83},
number = {2},
pages = {403--434},
year = {2022},
url = {https://doi.org/10.1007/s10589-022-00414-7},
doi = {10.1007/S10589-022-00414-7},
timestamp = {Tue, 18 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/coap/GoncalvesLP22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/csysl/GargianiZLSL22,
author = {Matilde Gargiani and
Andrea Zanelli and
Dominic Liao{-}McPherson and
Tyler H. Summers and
John Lygeros},
title = {Dynamic Programming Through the Lens of Semismooth Newton-Type Methods},
journal = {{IEEE} Control. Syst. Lett.},
volume = {6},
pages = {2996--3001},
year = {2022},
url = {https://doi.org/10.1109/LCSYS.2022.3181213},
doi = {10.1109/LCSYS.2022.3181213},
timestamp = {Tue, 28 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/csysl/GargianiZLSL22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmmsc/KhatonR22,
author = {M. Z. Khaton and
M. H. Rashid},
title = {Extended Newton-type Method for Nonsmooth Generalized Equation under
n , {\(\alpha\)} -point-based Approximation},
journal = {Int. J. Math. Math. Sci.},
volume = {2022},
pages = {7108996:1--7108996:17},
year = {2022},
url = {https://doi.org/10.1155/2022/7108996},
doi = {10.1155/2022/7108996},
timestamp = {Mon, 05 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ijmmsc/KhatonR22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/SousaSSS22,
author = {Leonardo A. Sousa and
Susana Scheimberg and
Pedro Jorge Sousa dos Santos and
Paulo S{\'{e}}rgio Marques dos Santos},
title = {A quasi-Newton type method for equilibrium problems},
journal = {Numer. Algorithms},
volume = {89},
number = {3},
pages = {1129--1143},
year = {2022},
url = {https://doi.org/10.1007/s11075-021-01148-z},
doi = {10.1007/S11075-021-01148-Z},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/SousaSSS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nla/LuS22,
author = {Tianyi Lu and
Yangfeng Su},
title = {A Newton-type method for two-dimensional eigenvalue problems},
journal = {Numer. Linear Algebra Appl.},
volume = {29},
number = {4},
year = {2022},
url = {https://doi.org/10.1002/nla.2430},
doi = {10.1002/NLA.2430},
timestamp = {Mon, 08 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nla/LuS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/oms/FischerZZ22,
author = {Andreas Fischer and
Alain B. Zemkoho and
Shenglong Zhou},
title = {Semismooth Newton-type method for bilevel optimization: global convergence
and extensive numerical experiments},
journal = {Optim. Methods Softw.},
volume = {37},
number = {5},
pages = {1770--1804},
year = {2022},
url = {https://doi.org/10.1080/10556788.2021.1977810},
doi = {10.1080/10556788.2021.1977810},
timestamp = {Sat, 13 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/oms/FischerZZ22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/oms/HoKP22,
author = {Chin Pang Ho and
Michal Kocvara and
Panos Parpas},
title = {Newton-type multilevel optimization method},
journal = {Optim. Methods Softw.},
volume = {37},
number = {1},
pages = {45--78},
year = {2022},
url = {https://doi.org/10.1080/10556788.2019.1700256},
doi = {10.1080/10556788.2019.1700256},
timestamp = {Tue, 06 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/oms/HoKP22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tgcn/KroukaEIB22,
author = {Mounssif Krouka and
Anis Elgabli and
Chaouki Ben Issaid and
Mehdi Bennis},
title = {Communication-Efficient Federated Learning: {A} Second Order Newton-Type
Method With Analog Over-the-Air Aggregation},
journal = {{IEEE} Trans. Green Commun. Netw.},
volume = {6},
number = {3},
pages = {1862--1874},
year = {2022},
url = {https://doi.org/10.1109/TGCN.2022.3173420},
doi = {10.1109/TGCN.2022.3173420},
timestamp = {Thu, 27 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tgcn/KroukaEIB22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tpds/DinhTNBBZZ22,
author = {Canh T. Dinh and
Nguyen Hoang Tran and
Tuan Dung Nguyen and
Wei Bao and
Amir Rezaei Balef and
Bing Bing Zhou and
Albert Y. Zomaya},
title = {{DONE:} Distributed Approximate Newton-type Method for Federated Edge
Learning},
journal = {{IEEE} Trans. Parallel Distributed Syst.},
volume = {33},
number = {11},
pages = {2648--2660},
year = {2022},
url = {https://doi.org/10.1109/TPDS.2022.3146253},
doi = {10.1109/TPDS.2022.3146253},
timestamp = {Wed, 20 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tpds/DinhTNBBZZ22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/ElgabliIBRBA22,
author = {Anis Elgabli and
Chaouki Ben Issaid and
Amrit Singh Bedi and
Ketan Rajawat and
Mehdi Bennis and
Vaneet Aggarwal},
editor = {Kamalika Chaudhuri and
Stefanie Jegelka and
Le Song and
Csaba Szepesv{\'{a}}ri and
Gang Niu and
Sivan Sabato},
title = {FedNew: {A} Communication-Efficient and Privacy-Preserving Newton-Type
Method for Federated Learning},
booktitle = {International Conference on Machine Learning, {ICML} 2022, 17-23 July
2022, Baltimore, Maryland, {USA}},
series = {Proceedings of Machine Learning Research},
volume = {162},
pages = {5861--5877},
publisher = {{PMLR}},
year = {2022},
url = {https://proceedings.mlr.press/v162/elgabli22a.html},
timestamp = {Tue, 12 Jul 2022 17:36:52 +0200},
biburl = {https://dblp.org/rec/conf/icml/ElgabliIBRBA22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/SafaryanIQR22,
author = {Mher Safaryan and
Rustem Islamov and
Xun Qian and
Peter Richt{\'{a}}rik},
editor = {Kamalika Chaudhuri and
Stefanie Jegelka and
Le Song and
Csaba Szepesv{\'{a}}ri and
Gang Niu and
Sivan Sabato},
title = {FedNL: Making Newton-Type Methods Applicable to Federated Learning},
booktitle = {International Conference on Machine Learning, {ICML} 2022, 17-23 July
2022, Baltimore, Maryland, {USA}},
series = {Proceedings of Machine Learning Research},
volume = {162},
pages = {18959--19010},
publisher = {{PMLR}},
year = {2022},
url = {https://proceedings.mlr.press/v162/safaryan22a.html},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icml/SafaryanIQR22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-01554,
author = {Sophie M. Moufawad and
Nabil R. Nassif},
title = {Newton Type Methods for solving a Hasegawa-Mima Plasma Model},
journal = {CoRR},
volume = {abs/2202.01554},
year = {2022},
url = {https://arxiv.org/abs/2202.01554},
eprinttype = {arXiv},
eprint = {2202.01554},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2202-01554.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-10364,
author = {Yuancheng Zhou},
title = {Solving Stochastic Optimization by Newton-type methods with Dimension-Adaptive
Sparse Grid Quadrature},
journal = {CoRR},
volume = {abs/2202.10364},
year = {2022},
url = {https://arxiv.org/abs/2202.10364},
eprinttype = {arXiv},
eprint = {2202.10364},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2202-10364.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2206-03588,
author = {Rustem Islamov and
Xun Qian and
Slavom{\'{\i}}r Hanzely and
Mher Safaryan and
Peter Richt{\'{a}}rik},
title = {Distributed Newton-Type Methods with Communication Compression and
Bernoulli Aggregation},
journal = {CoRR},
volume = {abs/2206.03588},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2206.03588},
doi = {10.48550/ARXIV.2206.03588},
eprinttype = {arXiv},
eprint = {2206.03588},
timestamp = {Tue, 14 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2206-03588.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2206-08829,
author = {Anis Elgabli and
Chaouki Ben Issaid and
Amrit S. Bedi and
Ketan Rajawat and
Mehdi Bennis and
Vaneet Aggarwal},
title = {FedNew: {A} Communication-Efficient and Privacy-Preserving Newton-Type
Method for Federated Learning},
journal = {CoRR},
volume = {abs/2206.08829},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2206.08829},
doi = {10.48550/ARXIV.2206.08829},
eprinttype = {arXiv},
eprint = {2206.08829},
timestamp = {Wed, 22 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2206-08829.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2209-12596,
author = {Barbara Kaltenbacher},
title = {Convergence guarantees for coefficient reconstruction in PDEs from
boundary measurements by variational and Newton type methods via range
invariance},
journal = {CoRR},
volume = {abs/2209.12596},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2209.12596},
doi = {10.48550/ARXIV.2209.12596},
eprinttype = {arXiv},
eprint = {2209.12596},
timestamp = {Thu, 06 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2209-12596.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/SerafinoTV21,
author = {Daniela di Serafino and
Gerardo Toraldo and
Marco Viola},
title = {Using gradient directions to get global convergence of Newton-type
methods},
journal = {Appl. Math. Comput.},
volume = {409},
pages = {125612},
year = {2021},
url = {https://doi.org/10.1016/j.amc.2020.125612},
doi = {10.1016/J.AMC.2020.125612},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/SerafinoTV21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cmm/BehlAA21,
author = {Ramandeep Behl and
Ioannis K. Argyros and
Christopher I. Argyros},
title = {On the local convergence of efficient Newton-type solvers with frozen
derivatives for nonlinear equations},
journal = {Comput. Math. Methods},
volume = {3},
number = {6},
year = {2021},
url = {https://doi.org/10.1002/cmm4.1184},
doi = {10.1002/CMM4.1184},
timestamp = {Tue, 31 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cmm/BehlAA21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/coap/FischerIJ21,
author = {Andreas Fischer and
Alexey F. Izmailov and
Mario Jelitte},
title = {Newton-type methods near critical solutions of piecewise smooth nonlinear
equations},
journal = {Comput. Optim. Appl.},
volume = {80},
number = {2},
pages = {587--615},
year = {2021},
url = {https://doi.org/10.1007/s10589-021-00306-2},
doi = {10.1007/S10589-021-00306-2},
timestamp = {Thu, 30 Mar 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/coap/FischerIJ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/coap/FliegeTZ21,
author = {J{\"{o}}rg Fliege and
Andrey Tin and
Alain B. Zemkoho},
title = {Gauss-Newton-type methods for bilevel optimization},
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Gilson N. Silva and
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title = {Newton-type method for solving generalized inclusion},
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J. P. Jaiswal},
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Spaces under generalized Lipschitz Conditions},
journal = {CoRR},
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author = {Xu Li and
Xiao{-}Xia Yin},
title = {A New Modified Newton-Type Iteration Methods for Solving Generalized
Absolute Value Equations},
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year = {2021},
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author = {Dongmei Yu and
Cairong Chen and
Deren Han},
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the generalized absolute value equations},
journal = {CoRR},
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year = {2021},
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author = {Mher Safaryan and
Rustem Islamov and
Xun Qian and
Peter Richt{\'{a}}rik},
title = {FedNL: Making Newton-Type Methods Applicable to Federated Learning},
journal = {CoRR},
volume = {abs/2106.02969},
year = {2021},
url = {https://arxiv.org/abs/2106.02969},
eprinttype = {arXiv},
eprint = {2106.02969},
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author = {Rima Khouja and
Bernard Mourrain and
Jean{-}Claude Yakoubsohn},
title = {Newton-Type Methods For Simultaneous Matrix Diagonalization},
journal = {CoRR},
volume = {abs/2110.11133},
year = {2021},
url = {https://arxiv.org/abs/2110.11133},
eprinttype = {arXiv},
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author = {Sotaro Katayama and
Toshiyuki Ohtsuka},
title = {Structure-Exploiting Newton-Type Method for Optimal Control of Switched
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journal = {CoRR},
volume = {abs/2112.07232},
year = {2021},
url = {https://arxiv.org/abs/2112.07232},
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@article{DBLP:journals/cma/LiQ20,
author = {Wenbin Li and
Jianliang Qian},
title = {Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods
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author = {Ricardo Serrato Barrera and
Gustavo Rodr{\'{\i}}guez G{\'{o}}mez and
Julio C{\'{e}}sar P{\'{e}}rez Sansalvador and
Sa{\'{u}}l E. Pomares Hern{\'{a}}ndez and
Leticia Flores{-}Pulido and
Antonio Mu{\~{n}}oz},
title = {Software system design based on patterns for Newton-type methods},
journal = {Computing},
volume = {102},
number = {4},
pages = {1005--1030},
year = {2020},
url = {https://doi.org/10.1007/s00607-019-00759-8},
doi = {10.1007/S00607-019-00759-8},
timestamp = {Fri, 29 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/computing/BarreraGSHFM20.bib},
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@article{DBLP:journals/ijcse/PlattLLN20,
author = {Gustavo Mendes Platt and
Fran S{\'{e}}rgio Lobato and
Gustavo Barbosa Libotte and
Francisco Duarte Moura Neto},
title = {Basins of attraction and critical curves for Newton-type methods in
a phase equilibrium problem},
journal = {Int. J. Comput. Sci. Eng.},
volume = {23},
number = {1},
pages = {91--102},
year = {2020},
url = {https://doi.org/10.1504/IJCSE.2020.110201},
doi = {10.1504/IJCSE.2020.110201},
timestamp = {Thu, 22 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcse/PlattLLN20.bib},
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author = {Weijun Zhou},
title = {A modified {BFGS} type quasi-Newton method with line search for symmetric
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journal = {J. Comput. Appl. Math.},
volume = {367},
year = {2020},
url = {https://doi.org/10.1016/j.cam.2019.112454},
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author = {Peng Xu and
Fred Roosta and
Michael W. Mahoney},
title = {Newton-type methods for non-convex optimization under inexact Hessian
information},
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number = {1},
pages = {35--70},
year = {2020},
url = {https://doi.org/10.1007/s10107-019-01405-z},
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timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
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author = {Wei Ma and
Xiao{-}Shan Chen},
title = {Two-step inexact Newton-type method for inverse singular value problems},
journal = {Numer. Algorithms},
volume = {84},
number = {3},
pages = {847--870},
year = {2020},
url = {https://doi.org/10.1007/s11075-019-00783-x},
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timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/MaC20.bib},
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author = {Ilan Adler and
Zhiyue Tom Hu and
Tianyi Lin},
title = {New Proximal Newton-Type Methods for Convex Optimization},
booktitle = {59th {IEEE} Conference on Decision and Control, {CDC} 2020, Jeju Island,
South Korea, December 14-18, 2020},
pages = {4828--4835},
publisher = {{IEEE}},
year = {2020},
url = {https://doi.org/10.1109/CDC42340.2020.9304423},
doi = {10.1109/CDC42340.2020.9304423},
timestamp = {Fri, 04 Mar 2022 13:31:02 +0100},
biburl = {https://dblp.org/rec/conf/cdc/AdlerHL20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/icml/CraneR20,
author = {Rixon Crane and
Fred Roosta},
title = {{DINO:} Distributed Newton-Type Optimization Method},
booktitle = {Proceedings of the 37th International Conference on Machine Learning,
{ICML} 2020, 13-18 July 2020, Virtual Event},
series = {Proceedings of Machine Learning Research},
volume = {119},
pages = {2174--2184},
publisher = {{PMLR}},
year = {2020},
url = {http://proceedings.mlr.press/v119/crane20a.html},
timestamp = {Tue, 15 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icml/CraneR20.bib},
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author = {Tian Li and
Anit Kumar Sahu and
Manzil Zaheer and
Maziar Sanjabi and
Ameet Talwalkar and
Virginia Smith},
title = {FedDANE: {A} Federated Newton-Type Method},
journal = {CoRR},
volume = {abs/2001.01920},
year = {2020},
url = {http://arxiv.org/abs/2001.01920},
eprinttype = {arXiv},
eprint = {2001.01920},
timestamp = {Wed, 23 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2001-01920.bib},
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author = {Daniela di Serafino and
Gerardo Toraldo and
Marco Viola},
title = {Using gradient directions to get global convergence of Newton-type
methods},
journal = {CoRR},
volume = {abs/2004.00968},
year = {2020},
url = {https://arxiv.org/abs/2004.00968},
eprinttype = {arXiv},
eprint = {2004.00968},
timestamp = {Wed, 08 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2004-00968.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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author = {Gustavo Mendes Platt and
Fran S{\'{e}}rgio Lobato and
Gustavo Barbosa Libotte and
Francisco Duarte Moura Neto},
title = {Basins of attraction and critical curves for Newton-type methods in
a phase equilibrium problem},
journal = {CoRR},
volume = {abs/2006.00318},
year = {2020},
url = {https://arxiv.org/abs/2006.00318},
eprinttype = {arXiv},
eprint = {2006.00318},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2006-00318.bib},
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author = {Guojun Zhang and
Kaiwen Wu and
Pascal Poupart and
Yaoliang Yu},
title = {Newton-type Methods for Minimax Optimization},
journal = {CoRR},
volume = {abs/2006.14592},
year = {2020},
url = {https://arxiv.org/abs/2006.14592},
eprinttype = {arXiv},
eprint = {2006.14592},
timestamp = {Wed, 01 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2006-14592.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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author = {Canh T. Dinh and
Nguyen Hoang Tran and
Tuan Dung Nguyen and
Wei Bao and
Amir Rezaei Balef},
title = {{DONE:} Distributed Newton-type Method for Federated Edge Learning},
journal = {CoRR},
volume = {abs/2012.05625},
year = {2020},
url = {https://arxiv.org/abs/2012.05625},
eprinttype = {arXiv},
eprint = {2012.05625},
timestamp = {Sat, 29 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2012-05625.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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author = {Haoyang Deng and
Toshiyuki Ohtsuka},
title = {A parallel Newton-type method for nonlinear model predictive control},
journal = {Autom.},
volume = {109},
year = {2019},
url = {https://doi.org/10.1016/j.automatica.2019.108560},
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author = {Yunhong Hu and
Liang Fang},
title = {Two modifications of efficient newton-type iterative method and two
variants of Super-Halley's method for solving nonlinear equations},
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number = {1},
pages = {13--22},
year = {2019},
url = {https://doi.org/10.3233/JCM-180867},
doi = {10.3233/JCM-180867},
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biburl = {https://dblp.org/rec/journals/jcmse/HuF19.bib},
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author = {Ivan V. Timokhin and
Sergey A. Matveev and
Nana Siddharth and
Eugene E. Tyrtyshnikov and
Alexander P. Smirnov and
Nikolai V. Brilliantov},
title = {Newton method for stationary and quasi-stationary problems for Smoluchowski-type
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pages = {124--137},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.01.013},
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timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/TimokhinMSTSB19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jota/FischerIS19,
author = {Andreas Fischer and
Alexey F. Izmailov and
Mikhail V. Solodov},
title = {Local Attractors of Newton-Type Methods for Constrained Equations
and Complementarity Problems with Nonisolated Solutions},
journal = {J. Optim. Theory Appl.},
volume = {180},
number = {1},
pages = {140--169},
year = {2019},
url = {https://doi.org/10.1007/s10957-018-1297-2},
doi = {10.1007/S10957-018-1297-2},
timestamp = {Tue, 07 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jota/FischerIS19.bib},
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@article{DBLP:journals/jota/WangCC19,
author = {An Wang and
Yang Cao and
Jingxian Chen},
title = {Modified Newton-Type Iteration Methods for Generalized Absolute Value
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volume = {181},
number = {1},
pages = {216--230},
year = {2019},
url = {https://doi.org/10.1007/s10957-018-1439-6},
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author = {Tianxiao Sun and
Quoc Tran{-}Dinh},
title = {Generalized self-concordant functions: a recipe for Newton-type methods},
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volume = {178},
number = {1-2},
pages = {145--213},
year = {2019},
url = {https://doi.org/10.1007/s10107-018-1282-4},
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timestamp = {Thu, 07 Nov 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mp/SunT19.bib},
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@inproceedings{DBLP:conf/acssc/LiSZSTS19,
author = {Tian Li and
Anit Kumar Sahu and
Manzil Zaheer and
Maziar Sanjabi and
Ameet Talwalkar and
Virginia Smith},
editor = {Michael B. Matthews},
title = {FedDANE: {A} Federated Newton-Type Method},
booktitle = {53rd Asilomar Conference on Signals, Systems, and Computers, {ACSCC}
2019, Pacific Grove, CA, USA, November 3-6, 2019},
pages = {1227--1231},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.1109/IEEECONF44664.2019.9049023},
doi = {10.1109/IEEECONF44664.2019.9049023},
timestamp = {Wed, 23 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/acssc/LiSZSTS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/cdc/HermansTP19,
author = {Ben Hermans and
Andreas Themelis and
Panagiotis Patrinos},
title = {{QPALM:} {A} Newton-type Proximal Augmented Lagrangian Method for
Quadratic Programs},
booktitle = {58th {IEEE} Conference on Decision and Control, {CDC} 2019, Nice,
France, December 11-13, 2019},
pages = {4325--4330},
publisher = {{IEEE}},
year = {2019},
url = {https://doi.org/10.1109/CDC40024.2019.9030211},
doi = {10.1109/CDC40024.2019.9030211},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cdc/HermansTP19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/nips/CraneR19,
author = {Rixon Crane and
Fred Roosta},
editor = {Hanna M. Wallach and
Hugo Larochelle and
Alina Beygelzimer and
Florence d'Alch{\'{e}}{-}Buc and
Emily B. Fox and
Roman Garnett},
title = {{DINGO:} Distributed Newton-Type Method for Gradient-Norm Optimization},
booktitle = {Advances in Neural Information Processing Systems 32: Annual Conference
on Neural Information Processing Systems 2019, NeurIPS 2019, December
8-14, 2019, Vancouver, BC, Canada},
pages = {9494--9504},
year = {2019},
url = {https://proceedings.neurips.cc/paper/2019/hash/9718db12cae6be37f7349779007ee589-Abstract.html},
timestamp = {Mon, 16 May 2022 15:41:51 +0200},
biburl = {https://dblp.org/rec/conf/nips/CraneR19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/corr/abs-1901-05134,
author = {Rixon Crane and
Fred (Farbod) Roosta},
title = {{DINGO:} Distributed Newton-Type Method for Gradient-Norm Optimization},
journal = {CoRR},
volume = {abs/1901.05134},
year = {2019},
url = {http://arxiv.org/abs/1901.05134},
eprinttype = {arXiv},
eprint = {1901.05134},
timestamp = {Fri, 04 Oct 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-05134.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/corr/abs-1905-04642,
author = {Ricardo Serrato Barrera and
Gustavo Rodr{\'{\i}}guez G{\'{o}}mez and
Julio C{\'{e}}sar P{\'{e}}rez Sansalvador and
Sa{\'{u}}l E. Pomares Hern{\'{a}}ndez and
Leticia Flores{-}Pulido and
Antonio Mu{\~{n}}oz},
title = {Software System Design based on Patterns for Newton-Type Methods},
journal = {CoRR},
volume = {abs/1905.04642},
year = {2019},
url = {http://arxiv.org/abs/1905.04642},
eprinttype = {arXiv},
eprint = {1905.04642},
timestamp = {Fri, 29 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1905-04642.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ieicet/ItoHM18,
author = {Hidetaka Ito and
Hiroomi Hikawa and
Yutaka Maeda},
title = {A Subspace Newton-Type Method for Approximating Transversely Repelling
Chaotic Saddles},
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volume = {101-A},
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doi = {10.1587/TRANSFUN.E101.A.1127},
timestamp = {Sat, 11 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ieicet/ItoHM18.bib},
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@article{DBLP:journals/ijcm/Rashid18,
author = {M. H. Rashid},
title = {Convergence analysis of a variant of Newton-type method for generalized
equations},
journal = {Int. J. Comput. Math.},
volume = {95},
number = {3},
pages = {584--600},
year = {2018},
url = {https://doi.org/10.1080/00207160.2017.1293819},
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biburl = {https://dblp.org/rec/journals/ijcm/Rashid18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ijcm/Wang18,
author = {Xiaofeng Wang},
title = {A family of Newton-type iterative methods using some special self-accelerating
parameters},
journal = {Int. J. Comput. Math.},
volume = {95},
number = {10},
pages = {2112--2127},
year = {2018},
url = {https://doi.org/10.1080/00207160.2017.1366459},
doi = {10.1080/00207160.2017.1366459},
timestamp = {Tue, 11 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/Wang18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/mp/IzmailovKS18,
author = {Alexey F. Izmailov and
Alexey S. Kurennoy and
Mikhail V. Solodov},
title = {Critical solutions of nonlinear equations: local attraction for Newton-type
methods},
journal = {Math. Program.},
volume = {167},
number = {2},
pages = {355--379},
year = {2018},
url = {https://doi.org/10.1007/s10107-017-1128-5},
doi = {10.1007/S10107-017-1128-5},
timestamp = {Tue, 30 Jan 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mp/IzmailovKS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/nla/AmatABH18,
author = {Sergio Amat and
Ioannis K. Argyros and
Sonia Busquier and
M. A. Hern{\'{a}}ndez{-}Ver{\'{o}}n},
title = {On two high-order families of frozen Newton-type methods},
journal = {Numer. Linear Algebra Appl.},
volume = {25},
number = {1},
year = {2018},
url = {https://doi.org/10.1002/nla.2126},
doi = {10.1002/NLA.2126},
timestamp = {Tue, 20 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nla/AmatABH18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nla/ChenWS18,
author = {Xiao Shan Chen and
Chao Tao Wen and
Hai{-}Wei Sun},
title = {Two-step Newton-type methods for solving inverse eigenvalue problems},
journal = {Numer. Linear Algebra Appl.},
volume = {25},
number = {5},
year = {2018},
url = {https://doi.org/10.1002/nla.2185},
doi = {10.1002/NLA.2185},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nla/ChenWS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ol/SantosSS18,
author = {Pedro Jorge Sousa dos Santos and
Paulo S{\'{e}}rgio Marques dos Santos and
Susana Scheimberg},
title = {A proximal Newton-type method for equilibrium problems},
journal = {Optim. Lett.},
volume = {12},
number = {5},
pages = {997--1009},
year = {2018},
url = {https://doi.org/10.1007/s11590-017-1204-z},
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timestamp = {Fri, 03 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ol/SantosSS18.bib},
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}
@inproceedings{DBLP:conf/amcc/QuirynenD18,
author = {Rien Quirynen and
Moritz Diehl},
title = {Lifted Newton-Type Optimization for Pseudospectral Methods in Nonlinear
Model Predictive Control},
booktitle = {2018 Annual American Control Conference, {ACC} 2018, Milwaukee, WI,
USA, June 27-29, 2018},
pages = {3927--3932},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.23919/ACC.2018.8431210},
doi = {10.23919/ACC.2018.8431210},
timestamp = {Sun, 08 Aug 2021 01:40:57 +0200},
biburl = {https://dblp.org/rec/conf/amcc/QuirynenD18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1810-01269,
author = {Adrian Wills and
Carl Jidling and
Thomas B. Sch{\"{o}}n},
title = {A fast quasi-Newton-type method for large-scale stochastic optimisation},
journal = {CoRR},
volume = {abs/1810.01269},
year = {2018},
url = {http://arxiv.org/abs/1810.01269},
eprinttype = {arXiv},
eprint = {1810.01269},
timestamp = {Thu, 01 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1810-01269.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithms/WangL17,
author = {Xiaofeng Wang and
Yang Li},
title = {An Efficient Sixth-Order Newton-Type Method for Solving Nonlinear
Systems},
journal = {Algorithms},
volume = {10},
number = {2},
pages = {45},
year = {2017},
url = {https://doi.org/10.3390/a10020045},
doi = {10.3390/A10020045},
timestamp = {Tue, 14 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/algorithms/WangL17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Hernandez-Veron17,
author = {M. A. Hern{\'{a}}ndez{-}Ver{\'{o}}n and
M. J{\'{o}}se Rubio},
title = {On the local convergence of a Newton-Kurchatov-type method for non-differentiable
operators},
journal = {Appl. Math. Comput.},
volume = {304},
pages = {1--9},
year = {2017},
url = {https://doi.org/10.1016/j.amc.2017.01.010},
doi = {10.1016/J.AMC.2017.01.010},
timestamp = {Tue, 19 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/Hernandez-Veron17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ana/Huang17,
author = {Qinglong Huang},
title = {The Convergence of a Class of Parallel Newton-Type Iterative Methods},
journal = {Adv. Numer. Anal.},
volume = {2017},
pages = {4281684:1--4281684:7},
year = {2017},
url = {https://doi.org/10.1155/2017/4281684},
doi = {10.1155/2017/4281684},
timestamp = {Tue, 25 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ana/Huang17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pami/YuanL17,
author = {Xiao{-}Tong Yuan and
Qingshan Liu},
title = {Newton-Type Greedy Selection Methods for {\(\mathscr{l}\)}\({}_{\mbox{0}}\)-Constrained
Minimization},
journal = {{IEEE} Trans. Pattern Anal. Mach. Intell.},
volume = {39},
number = {12},
pages = {2437--2450},
year = {2017},
url = {https://doi.org/10.1109/TPAMI.2017.2651813},
doi = {10.1109/TPAMI.2017.2651813},
timestamp = {Wed, 14 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/pami/YuanL17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acssc/BazziSM17,
author = {Ahmad Bazzi and
Dirk T. M. Slock and
Lisa Meilhac},
editor = {Michael B. Matthews},
title = {A Newton-type Forward Backward Greedy method for multi-snapshot compressed
sensing},
booktitle = {51st Asilomar Conference on Signals, Systems, and Computers, {ACSSC}
2017, Pacific Grove, CA, USA, October 29 - November 1, 2017},
pages = {1178--1182},
publisher = {{IEEE}},
year = {2017},
url = {https://doi.org/10.1109/ACSSC.2017.8335537},
doi = {10.1109/ACSSC.2017.8335537},
timestamp = {Sat, 02 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/acssc/BazziSM17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cvpr/KannanKP17,
author = {Hariprasad Kannan and
Nikos Komodakis and
Nikos Paragios},
title = {Newton-Type Methods for Inference in Higher-Order Markov Random Fields},
booktitle = {2017 {IEEE} Conference on Computer Vision and Pattern Recognition,
{CVPR} 2017, Honolulu, HI, USA, July 21-26, 2017},
pages = {7224--7233},
publisher = {{IEEE} Computer Society},
year = {2017},
url = {https://doi.org/10.1109/CVPR.2017.764},
doi = {10.1109/CVPR.2017.764},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cvpr/KannanKP17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/icmc2/Ghosh17,
author = {Debdas Ghosh},
editor = {Debasis Giri and
Ram N. Mohapatra and
Heinrich Begehr and
Mohammad S. Obaidat},
title = {A Davidon-Fletcher-Powell Type Quasi-Newton Method to Solve Fuzzy
Optimization Problems},
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 = {232--245},
year = {2017},
url = {https://doi.org/10.1007/978-981-10-4642-1\_20},
doi = {10.1007/978-981-10-4642-1\_20},
timestamp = {Mon, 11 Mar 2019 12:15:04 +0100},
biburl = {https://dblp.org/rec/conf/icmc2/Ghosh17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1708-07164,
author = {Peng Xu and
Farbod Roosta{-}Khorasani and
Michael W. Mahoney},
title = {Newton-Type Methods for Non-Convex Optimization Under Inexact Hessian
Information},
journal = {CoRR},
volume = {abs/1708.07164},
year = {2017},
url = {http://arxiv.org/abs/1708.07164},
eprinttype = {arXiv},
eprint = {1708.07164},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1708-07164.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1708-08552,
author = {Xuanqing Liu and
Cho{-}Jui Hsieh and
Jason D. Lee and
Yuekai Sun},
title = {An inexact subsampled proximal Newton-type method for large-scale
machine learning},
journal = {CoRR},
volume = {abs/1708.08552},
year = {2017},
url = {http://arxiv.org/abs/1708.08552},
eprinttype = {arXiv},
eprint = {1708.08552},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1708-08552.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1709-01237,
author = {Hariprasad Kannan and
Nikos Komodakis and
Nikos Paragios},
title = {Newton-type Methods for Inference in Higher-Order Markov Random Fields},
journal = {CoRR},
volume = {abs/1709.01237},
year = {2017},
url = {http://arxiv.org/abs/1709.01237},
eprinttype = {arXiv},
eprint = {1709.01237},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1709-01237.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/coap/0004HIS16,
author = {Andreas Fischer and
Markus Herrich and
Alexey F. Izmailov and
Mikhail V. Solodov},
title = {Convergence conditions for Newton-type methods applied to complementarity
systems with nonisolated solutions},
journal = {Comput. Optim. Appl.},
volume = {63},
number = {2},
pages = {425--459},
year = {2016},
url = {https://doi.org/10.1007/s10589-015-9782-0},
doi = {10.1007/S10589-015-9782-0},
timestamp = {Tue, 14 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/coap/0004HIS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/Potschka16,
author = {Andreas Potschka},
title = {Backward Step Control for Global Newton-Type Methods},
journal = {{SIAM} J. Numer. Anal.},
volume = {54},
number = {1},
pages = {361--387},
year = {2016},
url = {https://doi.org/10.1137/140968586},
doi = {10.1137/140968586},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/Potschka16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/HuangLM16,
author = {Tsung{-}Ming Huang and
Wen{-}Wei Lin and
Volker Mehrmann},
title = {A Newton-Type Method with Nonequivalence Deflation for Nonlinear Eigenvalue
Problems Arising in Photonic Crystal Modeling},
journal = {{SIAM} J. Sci. Comput.},
volume = {38},
number = {2},
year = {2016},
url = {https://doi.org/10.1137/151004823},
doi = {10.1137/151004823},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/HuangLM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/icml/RodomanovK16,
author = {Anton Rodomanov and
Dmitry Kropotov},
editor = {Maria{-}Florina Balcan and
Kilian Q. Weinberger},
title = {A Superlinearly-Convergent Proximal Newton-type Method for the Optimization
of Finite Sums},
booktitle = {Proceedings of the 33nd International Conference on Machine Learning,
{ICML} 2016, New York City, NY, USA, June 19-24, 2016},
series = {{JMLR} Workshop and Conference Proceedings},
volume = {48},
pages = {2597--2605},
publisher = {JMLR.org},
year = {2016},
url = {http://proceedings.mlr.press/v48/rodomanov16.html},
timestamp = {Wed, 29 May 2019 08:41:46 +0200},
biburl = {https://dblp.org/rec/conf/icml/RodomanovK16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithms/AmatBBM15,
author = {Sergio Amat and
Sonia Busquier and
Concepci{\'{o}}n Berm{\'{u}}dez and
{\'{A}}ngel Alberto Magre{\~{n}}{\'{a}}n},
title = {Expanding the Applicability of a Third Order Newton-Type Method Free
of Bilinear Operators},
journal = {Algorithms},
volume = {8},
number = {3},
pages = {669--679},
year = {2015},
url = {https://doi.org/10.3390/a8030669},
doi = {10.3390/A8030669},
timestamp = {Tue, 14 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/algorithms/AmatBBM15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithms/AnastassiouA15,
author = {George A. Anastassiou and
Ioannis K. Argyros},
title = {Newton-Type Methods on Generalized Banach Spaces and Applications
in Fractional Calculus},
journal = {Algorithms},
volume = {8},
number = {4},
pages = {832--849},
year = {2015},
url = {https://doi.org/10.3390/a8040832},
doi = {10.3390/A8040832},
timestamp = {Tue, 14 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/algorithms/AnastassiouA15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithms/WangQQZF15,
author = {Xiaofeng Wang and
Yuping Qin and
Wei{-}Yi Qian and
Sheng Zhang and
Xiaodong Fan},
title = {A Family of Newton Type Iterative Methods for Solving Nonlinear Equations},
journal = {Algorithms},
volume = {8},
number = {3},
pages = {786--798},
year = {2015},
url = {https://doi.org/10.3390/a8030786},
doi = {10.3390/A8030786},
timestamp = {Tue, 14 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/algorithms/WangQQZF15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/KhanNBA15,
author = {Waseem Asghar Khan and
Khalida Inayat Noor and
Kaleemulah Bhatti and
Faryal Aijaz Ansari},
title = {A new fourth order Newton-type method for solution of system of nonlinear
equations},
journal = {Appl. Math. Comput.},
volume = {270},
pages = {724--730},
year = {2015},
url = {https://doi.org/10.1016/j.amc.2015.08.081},
doi = {10.1016/J.AMC.2015.08.081},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/KhanNBA15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Tchoualag15,
author = {Laurent Tchoualag},
title = {Combined symmetric {BEM} and semi-smooth Newton method for the contact
problems in linear elasticity of Yukawa type},
journal = {Appl. Math. Comput.},
volume = {269},
pages = {1007--1021},
year = {2015},
url = {https://doi.org/10.1016/j.amc.2015.08.028},
doi = {10.1016/J.AMC.2015.08.028},
timestamp = {Tue, 04 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/Tchoualag15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/CorderoJT15,
author = {Alicia Cordero and
Cristina Jord{\'{a}}n and
Juan R. Torregrosa},
title = {One-point Newton-type iterative methods: {A} unified point of view},
journal = {J. Comput. Appl. Math.},
volume = {275},
pages = {366--374},
year = {2015},
url = {https://doi.org/10.1016/j.cam.2014.07.009},
doi = {10.1016/J.CAM.2014.07.009},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/CorderoJT15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jnma/FangTH15,
author = {Liang Fang and
Jingyong Tang and
Yunhong Hu},
title = {A nonmonotone inexact smoothing Newton-type method for {P0-NCP} based
on a parametric complementarity function},
journal = {J. Num. Math.},
volume = {23},
number = {4},
pages = {303--316},
year = {2015},
url = {https://doi.org/10.1515/jnma-2015-0020},
doi = {10.1515/JNMA-2015-0020},
timestamp = {Fri, 10 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jnma/FangTH15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jota/IzmailovS15,
author = {Alexey F. Izmailov and
Mikhail V. Solodov},
title = {Newton-Type Methods: {A} Broader View},
journal = {J. Optim. Theory Appl.},
volume = {164},
number = {2},
pages = {577--620},
year = {2015},
url = {https://doi.org/10.1007/s10957-014-0580-0},
doi = {10.1007/S10957-014-0580-0},
timestamp = {Tue, 07 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jota/IzmailovS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/Soleymani15,
author = {Fazlollah Soleymani},
title = {An efficient and stable Newton-type iterative method for computing
generalized inverse A\({}_{\mbox{T, S}}\)\({}^{\mbox{(2)}}\)},
journal = {Numer. Algorithms},
volume = {69},
number = {3},
pages = {569--578},
year = {2015},
url = {https://doi.org/10.1007/s11075-014-9913-1},
doi = {10.1007/S11075-014-9913-1},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Soleymani15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/AmatABCHP14,
author = {Sergio Amat and
Ioannis K. Argyros and
Sonia Busquier and
Rodrigo A. Castro and
Sa{\"{\i}}d Hilout and
Sergio Plaza},
title = {Newton-type methods on Riemannian manifolds under Kantorovich-type
conditions},
journal = {Appl. Math. Comput.},
volume = {227},
pages = {762--787},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2013.11.055},
doi = {10.1016/J.AMC.2013.11.055},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/AmatABCHP14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/VasinG14,
author = {Vladmir Vasin and
Santhosh George},
title = {An analysis of Lavrentiev regularization method and Newton type process
for nonlinear ill-posed problems},
journal = {Appl. Math. Comput.},
volume = {230},
pages = {406--413},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2013.12.104},
doi = {10.1016/J.AMC.2013.12.104},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/VasinG14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/amc/ZhanlavCU14,
author = {Tugal Zhanlav and
Ochbadrakh Chuluunbaatar and
Vandandoo Ulziibayar},
title = {Two-sided approximation for some Newton's type methods},
journal = {Appl. Math. Comput.},
volume = {236},
pages = {239--246},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2014.03.068},
doi = {10.1016/J.AMC.2014.03.068},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/ZhanlavCU14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ana/Haghani14,
author = {Farhad Khaksar Haghani},
title = {A Third-Order Newton-Type Method for Finding Polar Decomposition},
journal = {Adv. Numer. Anal.},
volume = {2014},
pages = {576325:1--576325:5},
year = {2014},
url = {https://doi.org/10.1155/2014/576325},
doi = {10.1155/2014/576325},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ana/Haghani14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/coap/IzmailovS14,
author = {Alexey F. Izmailov and
Mikhail V. Solodov},
title = {On error bounds and Newton-type methods for generalized Nash equilibrium
problems},
journal = {Comput. Optim. Appl.},
volume = {59},
number = {1-2},
pages = {201--218},
year = {2014},
url = {https://doi.org/10.1007/s10589-013-9595-y},
doi = {10.1007/S10589-013-9595-Y},
timestamp = {Tue, 14 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/coap/IzmailovS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ArgyrosK14,
author = {Ioannis K. Argyros and
Sanjay Kumar Khattri},
title = {Weaker Kantorovich type criteria for inexact Newton methods},
journal = {J. Comput. Appl. Math.},
volume = {261},
pages = {103--117},
year = {2014},
url = {https://doi.org/10.1016/j.cam.2013.10.048},
doi = {10.1016/J.CAM.2013.10.048},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ArgyrosK14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamjo/LeeSS14,
author = {Jason D. Lee and
Yuekai Sun and
Michael A. Saunders},
title = {Proximal Newton-Type Methods for Minimizing Composite Functions},
journal = {{SIAM} J. Optim.},
volume = {24},
number = {3},
pages = {1420--1443},
year = {2014},
url = {https://doi.org/10.1137/130921428},
doi = {10.1137/130921428},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamjo/LeeSS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/ShamirS014,
author = {Ohad Shamir and
Nathan Srebro and
Tong Zhang},
title = {Communication-Efficient Distributed Optimization using an Approximate
Newton-type Method},
booktitle = {Proceedings of the 31th International Conference on Machine Learning,
{ICML} 2014, Beijing, China, 21-26 June 2014},
series = {{JMLR} Workshop and Conference Proceedings},
volume = {32},
pages = {1000--1008},
publisher = {JMLR.org},
year = {2014},
url = {http://proceedings.mlr.press/v32/shamir14.html},
timestamp = {Wed, 29 May 2019 08:41:45 +0200},
biburl = {https://dblp.org/rec/conf/icml/ShamirS014.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/smc/Okamoto14,
author = {Takashi Okamoto},
title = {Constrained optimization using the chaotic sequential quadratic approximation
type Lagrange quasi-Newton method},
booktitle = {2014 {IEEE} International Conference on Systems, Man, and Cybernetics,
{SMC} 2014, San Diego, CA, USA, October 5-8, 2014},
pages = {562--568},
publisher = {{IEEE}},
year = {2014},
url = {https://doi.org/10.1109/SMC.2014.6973967},
doi = {10.1109/SMC.2014.6973967},
timestamp = {Wed, 16 Oct 2019 14:14:51 +0200},
biburl = {https://dblp.org/rec/conf/smc/Okamoto14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/amc/AmatMR13,
author = {Sergio Amat and
{\'{A}}ngel Alberto Magre{\~{n}}{\'{a}}n and
Natalia Romero {\'{A}}lvarez},
title = {On a two-step relaxed Newton-type method},
journal = {Appl. Math. Comput.},
volume = {219},
number = {24},
pages = {11341--11347},
year = {2013},
url = {https://doi.org/10.1016/j.amc.2013.04.061},
doi = {10.1016/J.AMC.2013.04.061},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/AmatMR13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Ardelean13,
author = {Gheorghe Ardelean},
title = {A new third-order newton-type iterative method for solving nonlinear
equations},
journal = {Appl. Math. Comput.},
volume = {219},
number = {18},
pages = {9856--9864},
year = {2013},
url = {https://doi.org/10.1016/j.amc.2013.03.131},
doi = {10.1016/J.AMC.2013.03.131},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Ardelean13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/PavaloiuC13,
author = {Ion Pavaloiu and
Emil Catinas},
title = {On a Newton-Steffensen type method},
journal = {Appl. Math. Lett.},
volume = {26},
number = {6},
pages = {659--663},
year = {2013},
url = {https://doi.org/10.1016/j.aml.2013.01.003},
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timestamp = {Fri, 30 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/appml/PavaloiuC13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jota/RashidYLW13,
author = {M. H. Rashid and
S. H. Yu and
C. Li and
S. Y. Wu},
title = {Convergence Analysis of the Gauss-Newton-Type Method for Lipschitz-Like
Mappings},
journal = {J. Optim. Theory Appl.},
volume = {158},
number = {1},
pages = {216--233},
year = {2013},
url = {https://doi.org/10.1007/s10957-012-0206-3},
doi = {10.1007/S10957-012-0206-3},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jota/RashidYLW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/na/PavaloiuC13,
author = {Ion Pavaloiu and
Emil Catinas},
title = {On an Aitken-Newton type method},
journal = {Numer. Algorithms},
volume = {62},
number = {2},
pages = {253--260},
year = {2013},
url = {https://doi.org/10.1007/s11075-012-9577-7},
doi = {10.1007/S11075-012-9577-7},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/PavaloiuC13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/HohageW13,
author = {Thorsten Hohage and
Frank Werner},
title = {Iteratively regularized Newton-type methods for general data misfit
functionals and applications to Poisson data},
journal = {Numerische Mathematik},
volume = {123},
number = {4},
pages = {745--779},
year = {2013},
url = {https://doi.org/10.1007/s00211-012-0499-z},
doi = {10.1007/S00211-012-0499-Z},
timestamp = {Sat, 19 Oct 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/HohageW13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/ShamirS013,
author = {Ohad Shamir and
Nathan Srebro and
Tong Zhang},
title = {Communication Efficient Distributed Optimization using an Approximate
Newton-type Method},
journal = {CoRR},
volume = {abs/1312.7853},
year = {2013},
url = {http://arxiv.org/abs/1312.7853},
eprinttype = {arXiv},
eprint = {1312.7853},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/ShamirS013.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Kohaupt12,
author = {L. Kohaupt},
title = {A Newton-like method for the numerical solution of nonlinear Fredholm-type
operator equations},
journal = {Appl. Math. Comput.},
volume = {218},
number = {20},
pages = {10129--10148},
year = {2012},
url = {https://doi.org/10.1016/j.amc.2012.03.089},
doi = {10.1016/J.AMC.2012.03.089},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Kohaupt12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/AmatBBP12,
author = {Sergio Amat and
Sonia Busquier and
Concepci{\'{o}}n Berm{\'{u}}dez and
Sergio Plaza},
title = {On two families of high order Newton type methods},
journal = {Appl. Math. Lett.},
volume = {25},
number = {12},
pages = {2209--2217},
year = {2012},
url = {https://doi.org/10.1016/j.aml.2012.06.004},
doi = {10.1016/J.AML.2012.06.004},
timestamp = {Mon, 19 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/appml/AmatBBP12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieiceee/LeeCK12,
author = {Joon{-}Ho Lee and
Sung{-}woo Cho and
Hyung Seok Kim},
title = {Newton-type method in spectrum estimaion-based {AOA} estimation},
journal = {{IEICE} Electron. Express},
volume = {9},
number = {12},
pages = {1036--1043},
year = {2012},
url = {https://doi.org/10.1587/elex.9.1036},
doi = {10.1587/ELEX.9.1036},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ieiceee/LeeCK12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jam/AmatLP12,
author = {Sergio Amat and
Mar{\'{\i}}a Jos{\'{e}} Legaz and
Pablo Pedregal},
title = {On a Newton-Type Method for Differential-Algebraic Equations},
journal = {J. Appl. Math.},
volume = {2012},
pages = {718608:1--718608:15},
year = {2012},
url = {https://doi.org/10.1155/2012/718608},
doi = {10.1155/2012/718608},
timestamp = {Thu, 16 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jam/AmatLP12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/LeeSS12,
author = {Jason D. Lee and
Yuekai Sun and
Michael A. Saunders},
editor = {Peter L. Bartlett and
Fernando C. N. Pereira and
Christopher J. C. Burges and
L{\'{e}}on Bottou and
Kilian Q. Weinberger},
title = {Proximal Newton-type methods for convex optimization},
booktitle = {Advances in Neural Information Processing Systems 25: 26th Annual
Conference on Neural Information Processing Systems 2012. Proceedings
of a meeting held December 3-6, 2012, Lake Tahoe, Nevada, United States},
pages = {836--844},
year = {2012},
url = {https://proceedings.neurips.cc/paper/2012/hash/0f304eddb4ad6007a3093fd6d963a1d2-Abstract.html},
timestamp = {Mon, 16 May 2022 15:41:51 +0200},
biburl = {https://dblp.org/rec/conf/nips/LeeSS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1206-1623,
author = {Jason D. Lee and
Yuekai Sun and
Michael A. Saunders},
title = {Proximal Newton-type Methods for Minimizing Convex Objective Functions
in Composite Form},
journal = {CoRR},
volume = {abs/1206.1623},
year = {2012},
url = {http://arxiv.org/abs/1206.1623},
eprinttype = {arXiv},
eprint = {1206.1623},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1206-1623.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ArgyrosH11a,
author = {Ioannis K. Argyros and
Sa{\"{\i}}d Hilout},
title = {Weak convergence conditions for Inexact Newton-type methods},
journal = {Appl. Math. Comput.},
volume = {218},
number = {6},
pages = {2800--2809},
year = {2011},
url = {https://doi.org/10.1016/j.amc.2011.08.023},
doi = {10.1016/J.AMC.2011.08.023},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/ArgyrosH11a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/Ramm11,
author = {Alexander G. Ramm},
title = {How large is the class of operator equations solvable by a {DSM} Newton-type
method?},
journal = {Appl. Math. Lett.},
volume = {24},
number = {6},
pages = {854--859},
year = {2011},
url = {https://doi.org/10.1016/j.aml.2010.12.030},
doi = {10.1016/J.AML.2010.12.030},
timestamp = {Fri, 26 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/appml/Ramm11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/coap/LingYZ11,
author = {Chen Ling and
Hongxia Yin and
Guanglu Zhou},
title = {A smoothing Newton-type method for solving the \emph{L}\({}_{\mbox{2}}\)
spectral estimation problem with lower and upper bounds},
journal = {Comput. Optim. Appl.},
volume = {50},
number = {2},
pages = {351--378},
year = {2011},
url = {https://doi.org/10.1007/s10589-010-9356-0},
doi = {10.1007/S10589-010-9356-0},
timestamp = {Tue, 15 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/coap/LingYZ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ArgyrosR11,
author = {Ioannis K. Argyros and
Hongmin Ren},
title = {Kantorovich-type semilocal convergence analysis for inexact Newton
methods},
journal = {J. Comput. Appl. Math.},
volume = {235},
number = {9},
pages = {2993--3005},
year = {2011},
url = {https://doi.org/10.1016/j.cam.2010.12.020},
doi = {10.1016/J.CAM.2010.12.020},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ArgyrosR11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/SunZ11,
author = {Zhe Sun and
Jinping Zeng},
title = {A monotone semismooth Newton type method for a class of complementarity
problems},
journal = {J. Comput. Appl. Math.},
volume = {235},
number = {5},
pages = {1261--1274},
year = {2011},
url = {https://doi.org/10.1016/j.cam.2010.08.012},
doi = {10.1016/J.CAM.2010.08.012},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/SunZ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jfi/AmatBEM11,
author = {Sergio Amat and
Sonia Busquier and
Antonio Escudero and
Fernando Manzano},
title = {A wavelet adaptive two-step Newton type method},
journal = {J. Frankl. Inst.},
volume = {348},
number = {5},
pages = {823--831},
year = {2011},
url = {https://doi.org/10.1016/j.jfranklin.2011.02.006},
doi = {10.1016/J.JFRANKLIN.2011.02.006},
timestamp = {Mon, 13 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jfi/AmatBEM11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/ArgyrosH11a,
author = {Ioannis K. Argyros and
Sa{\"{\i}}d Hilout},
title = {Extending the applicability of the Gauss-Newton method under average
Lipschitz-type conditions},
journal = {Numer. Algorithms},
volume = {58},
number = {1},
pages = {23--52},
year = {2011},
url = {https://doi.org/10.1007/s11075-011-9446-9},
doi = {10.1007/S11075-011-9446-9},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/ArgyrosH11a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/Jin11,
author = {Qinian Jin},
title = {A General Convergence Analysis of Some Newton-Type Methods for Nonlinear
Inverse Problems},
journal = {{SIAM} J. Numer. Anal.},
volume = {49},
number = {2},
pages = {549--573},
year = {2011},
url = {https://doi.org/10.1137/100804231},
doi = {10.1137/100804231},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/Jin11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/csee2/SunF11,
author = {Li Sun and
Liang Fang},
editor = {Song Lin and
Xiong Huang},
title = {A Modified Newton-Type Method with Sixth-Order Convergence for Solving
Nonlinear Equations},
booktitle = {Advances in Computer Science, Environment, Ecoinformatics, and Education
- International Conference, {CSEE} 2011, Wuhan, China, August 21-22,
2011. Proceedings, Part {IV}},
series = {Communications in Computer and Information Science},
volume = {217},
pages = {470--473},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-23339-5\_86},
doi = {10.1007/978-3-642-23339-5\_86},
timestamp = {Wed, 17 May 2017 14:24:31 +0200},
biburl = {https://dblp.org/rec/conf/csee2/SunF11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/csise/FangHMZ11,
author = {Liang Fang and
Zhongyong Hu and
Xiaoyan Ma and
Wei Zhang},
editor = {David Jin and
Sally Lin},
title = {A Fourth-Order Newton-Type Method Free from Second Derivative for
Solving Non-linear Equations},
booktitle = {Advances in Computer Science, Intelligent System and Environment [Proceedings
of {CSISE} 2011, Volume 2, September 24-25, 2011, Guangzhou, China]},
series = {Advances in Intelligent and Soft Computing},
volume = {105},
pages = {333--337},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-23756-0\_54},
doi = {10.1007/978-3-642-23756-0\_54},
timestamp = {Fri, 19 May 2017 01:26:02 +0200},
biburl = {https://dblp.org/rec/conf/csise/FangHMZ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/csise/LiF11,
author = {Han Li and
Liang Fang},
editor = {David Jin and
Sally Lin},
title = {Research on a Modified Newton-Type Method with Fifth-Order Convergence
for Solving Nonlinear Equations with Application in Material Science},
booktitle = {Advances in Computer Science, Intelligent System and Environment [Proceedings
of {CSISE} 2011, Volume 1, September 24-25, 2011, Guangzhou, China]},
series = {Advances in Intelligent and Soft Computing},
volume = {104},
pages = {39--42},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-23777-5\_7},
doi = {10.1007/978-3-642-23777-5\_7},
timestamp = {Fri, 19 May 2017 01:26:02 +0200},
biburl = {https://dblp.org/rec/conf/csise/LiF11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icml/JimenezS11,
author = {{\'{A}}lvaro Barbero Jim{\'{e}}nez and
Suvrit Sra},
editor = {Lise Getoor and
Tobias Scheffer},
title = {Fast Newton-type Methods for Total Variation Regularization},
booktitle = {Proceedings of the 28th International Conference on Machine Learning,
{ICML} 2011, Bellevue, Washington, USA, June 28 - July 2, 2011},
pages = {313--320},
publisher = {Omnipress},
year = {2011},
url = {https://icml.cc/2011/papers/226\_icmlpaper.pdf},
timestamp = {Wed, 03 Apr 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icml/JimenezS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/ArgyrosH10,
author = {Ioannis K. Argyros and
Sa{\"{\i}}d Hilout},
title = {On the convergence of Newton-type methods using recurrent functions},
journal = {Int. J. Comput. Math.},
volume = {87},
number = {14},
pages = {3273--3296},
year = {2010},
url = {https://doi.org/10.1080/00207160903023557},
doi = {10.1080/00207160903023557},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/ArgyrosH10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/ArgyrosH10a,
author = {Ioannis K. Argyros and
Sa{\"{\i}}d Hilout},
title = {Inexact Newton-type methods},
journal = {J. Complex.},
volume = {26},
number = {6},
pages = {577--590},
year = {2010},
url = {https://doi.org/10.1016/j.jco.2010.08.006},
doi = {10.1016/J.JCO.2010.08.006},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jc/ArgyrosH10a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ChenAA10,
author = {Jinhai Chen and
Ioannis K. Argyros and
Ravi P. Agarwal},
title = {Majorizing functions and two-point Newton-type methods},
journal = {J. Comput. Appl. Math.},
volume = {234},
number = {5},
pages = {1473--1484},
year = {2010},
url = {https://doi.org/10.1016/j.cam.2010.02.024},
doi = {10.1016/J.CAM.2010.02.024},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ChenAA10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/RenA10,
author = {Hongmin Ren and
Ioannis K. Argyros},
title = {On the local convergence of inexact Newton-type methods under residual
control-type conditions},
journal = {J. Comput. Appl. Math.},
volume = {235},
number = {1},
pages = {218--228},
year = {2010},
url = {https://doi.org/10.1016/j.cam.2010.05.035},
doi = {10.1016/J.CAM.2010.05.035},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/RenA10.bib},
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}
@article{DBLP:journals/mp/FernandezS10,
author = {Dami{\'{a}}n R. Fern{\'{a}}ndez and
Mikhail V. Solodov},
title = {Stabilized sequential quadratic programming for optimization and a
stabilized Newton-type method for variational problems},
journal = {Math. Program.},
volume = {125},
number = {1},
pages = {47--73},
year = {2010},
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doi = {10.1007/S10107-008-0255-4},
timestamp = {Sat, 21 Oct 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mp/FernandezS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/na/ArgyrosH10,
author = {Ioannis K. Argyros and
Sa{\"{\i}}d Hilout},
title = {A Kantorovich-type convergence analysis of the Newton-Josephy method
for solving variational inequalities},
journal = {Numer. Algorithms},
volume = {55},
number = {4},
pages = {447--466},
year = {2010},
url = {https://doi.org/10.1007/s11075-010-9364-2},
doi = {10.1007/S11075-010-9364-2},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/ArgyrosH10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nla/AmatBBP10,
author = {Sergio Amat and
Concepci{\'{o}}n Berm{\'{u}}dez and
Sonia Busquier and
Sergio Plaza},
title = {On a third-order Newton-type method free of bilinear operators},
journal = {Numer. Linear Algebra Appl.},
volume = {17},
number = {4},
pages = {639--653},
year = {2010},
url = {https://doi.org/10.1002/nla.654},
doi = {10.1002/NLA.654},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nla/AmatBBP10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/CasulliZ10,
author = {Vincenzo Casulli and
Paola Zanolli},
title = {A Nested Newton-Type Algorithm for Finite Volume Methods Solving Richards'
Equation in Mixed Form},
journal = {{SIAM} J. Sci. Comput.},
volume = {32},
number = {4},
pages = {2255--2273},
year = {2010},
url = {https://doi.org/10.1137/100786320},
doi = {10.1137/100786320},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/CasulliZ10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/EzquerroHR09,
author = {J. A. Ezquerro and
Miguel {\'{A}}ngel Hern{\'{a}}ndez{-}Ver{\'{o}}n and
Natalia Romero {\'{A}}lvarez},
title = {Newton-type methods of high order and domains of semilocal and global
convergence},
journal = {Appl. Math. Comput.},
volume = {214},
number = {1},
pages = {142--154},
year = {2009},
url = {https://doi.org/10.1016/j.amc.2009.03.072},
doi = {10.1016/J.AMC.2009.03.072},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/EzquerroHR09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/FangHH09,
author = {Liang Fang and
Guoping He and
Yunhong Hu},
title = {A new smoothing Newton-type method for second-order cone programming
problems},
journal = {Appl. Math. Comput.},
volume = {215},
number = {3},
pages = {1020--1029},
year = {2009},
url = {https://doi.org/10.1016/j.amc.2009.06.029},
doi = {10.1016/J.AMC.2009.06.029},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/FangHH09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/PetkovicHP09,
author = {Miodrag S. Petkovic and
Dorde Herceg and
Ivan Petkovic},
title = {On a simultaneous method of Newton-Weierstrass' type for finding all
zeros of a polynomial},
journal = {Appl. Math. Comput.},
volume = {215},
number = {7},
pages = {2456--2463},
year = {2009},
url = {https://doi.org/10.1016/j.amc.2009.08.048},
doi = {10.1016/J.AMC.2009.08.048},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/PetkovicHP09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/coap/IzmailovS09,
author = {Alexey F. Izmailov and
Mikhail V. Solodov},
title = {Examples of dual behaviour of Newton-type methods on optimization
problems with degenerate constraints},
journal = {Comput. Optim. Appl.},
volume = {42},
number = {2},
pages = {231--264},
year = {2009},
url = {https://doi.org/10.1007/s10589-007-9074-4},
doi = {10.1007/S10589-007-9074-4},
timestamp = {Tue, 14 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/coap/IzmailovS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computing/AignerJ09,
author = {Martin Aigner and
Bert J{\"{u}}ttler},
title = {Distance regression by Gauss-Newton-type methods and iteratively re-weighted
least-squares},
journal = {Computing},
volume = {86},
number = {2-3},
pages = {73--87},
year = {2009},
url = {https://doi.org/10.1007/s00607-009-0055-6},
doi = {10.1007/S00607-009-0055-6},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/computing/AignerJ09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/ArgyrosC09,
author = {Ioannis K. Argyros and
Jinhai Chen},
title = {On local convergence of a Newton-type method in Banach space},
journal = {Int. J. Comput. Math.},
volume = {86},
number = {8},
pages = {1366--1374},
year = {2009},
url = {https://doi.org/10.1080/00207160701870845},
doi = {10.1080/00207160701870845},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/ArgyrosC09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/ChenA09,
author = {Jinhai Chen and
Ravi P. Agarwal},
title = {Finite termination and global monotonicity of Newton-type methods
for solving hybrid piecewise linear systems},
journal = {Int. J. Comput. Math.},
volume = {86},
number = {12},
pages = {2236--2247},
year = {2009},
url = {https://doi.org/10.1080/00207160903104316},
doi = {10.1080/00207160903104316},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/ChenA09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Homeier09,
author = {Herbert H. H. Homeier},
title = {On Newton-type methods for multiple roots with cubic convergence},
journal = {J. Comput. Appl. Math.},
volume = {231},
number = {1},
pages = {249--254},
year = {2009},
url = {https://doi.org/10.1016/j.cam.2009.02.006},
doi = {10.1016/J.CAM.2009.02.006},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Homeier09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/ArgyrosH09,
author = {Ioannis K. Argyros and
Sa{\"{\i}}d Hilout},
title = {On the convergence of Newton-type methods under mild differentiability
conditions},
journal = {Numer. Algorithms},
volume = {52},
number = {4},
pages = {701--726},
year = {2009},
url = {https://doi.org/10.1007/s11075-009-9308-x},
doi = {10.1007/S11075-009-9308-X},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/ArgyrosH09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/JinT09,
author = {Qinian Jin and
Ulrich Tautenhahn},
title = {On the discrepancy principle for some Newton type methods for solving
nonlinear inverse problems},
journal = {Numerische Mathematik},
volume = {111},
number = {4},
pages = {509--558},
year = {2009},
url = {https://doi.org/10.1007/s00211-008-0198-y},
doi = {10.1007/S00211-008-0198-Y},
timestamp = {Sat, 16 Sep 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/JinT09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamis/BarS09,
author = {Leah Bar and
Guillermo Sapiro},
title = {Generalized Newton-Type Methods for Energy Formulations in Image Processing},
journal = {{SIAM} J. Imaging Sci.},
volume = {2},
number = {2},
pages = {508--531},
year = {2009},
url = {https://doi.org/10.1137/080722436},
doi = {10.1137/080722436},
timestamp = {Tue, 14 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamis/BarS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cnhpca/MengZH09,
author = {Zehong Meng and
Zhen{-}Yu Zhao and
Guo{-}qiang He},
editor = {Wu Zhang and
Zhangxin Chen and
Craig C. Douglas and
Weiqin Tong},
title = {A Modification of Regularized Newton-Type Method for Nonlinear Ill-Posed
Problems},
booktitle = {High Performance Computing and Applications, Second International
Conference, {HPCA} 2009, Shanghai, China, August 10-12, 2009, Revised
Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {5938},
pages = {295--304},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-3-642-11842-5\_40},
doi = {10.1007/978-3-642-11842-5\_40},
timestamp = {Tue, 07 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cnhpca/MengZH09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cso/FangHHS09,
author = {Liang Fang and
Guoping He and
Yunhong Hu and
Li Sun},
editor = {Lean Yu and
Kin Keung Lai and
Shashi Kant Mishra},
title = {Some Modified Newton-Type Methods with Order of Convergence Varied
from Two to Six under Weak Conditions},
booktitle = {Proceedings of the Second International Joint Conference on Computational
Sciences and Optimization, {CSO} 2009, Sanya, Hainan, China, 24-26
April 2009, Volume 2},
pages = {637--640},
publisher = {{IEEE} Computer Society},
year = {2009},
url = {https://doi.org/10.1109/CSO.2009.284},
doi = {10.1109/CSO.2009.284},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cso/FangHHS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:reference/opt/Xu09a,
author = {Chengxian Xu},
editor = {Christodoulos A. Floudas and
Panos M. Pardalos},
title = {Nonlinear Least Squares: Newton-type Methods},
booktitle = {Encyclopedia of Optimization, Second Edition},
pages = {2619--2626},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-0-387-74759-0\_452},
doi = {10.1007/978-0-387-74759-0\_452},
timestamp = {Wed, 12 Jul 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/reference/opt/Xu09a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/amc/Thukral08,
author = {R. Thukral},
title = {Introduction to a Newton-type method for solving nonlinear equations},
journal = {Appl. Math. Comput.},
volume = {195},
number = {2},
pages = {663--668},
year = {2008},
url = {https://doi.org/10.1016/j.amc.2007.05.013},
doi = {10.1016/J.AMC.2007.05.013},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Thukral08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcmse/MishchenkoHR08,
author = {Kateryna Mishchenko and
Sverker Holmgren and
Lars R{\"{o}}nneg{\aa}rd},
title = {Newton-type methods for {REML} estimation in genetic analysis of quantitative
traits},
journal = {J. Comput. Methods Sci. Eng.},
volume = {8},
number = {1-2},
pages = {53--67},
year = {2008},
url = {https://doi.org/10.3233/jcm-2008-81-203},
doi = {10.3233/JCM-2008-81-203},
timestamp = {Fri, 10 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcmse/MishchenkoHR08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/DarvishiB07,
author = {Mohammad Taghi Darvishi and
Ali Barati},
title = {A third-order Newton-type method to solve systems of nonlinear equations},
journal = {Appl. Math. Comput.},
volume = {187},
number = {2},
pages = {630--635},
year = {2007},
url = {https://doi.org/10.1016/j.amc.2006.08.080},
doi = {10.1016/J.AMC.2006.08.080},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/DarvishiB07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/GolbabaiJ07d,
author = {Ahmad Golbabai and
M. Javidi},
title = {A third-order Newton type method for nonlinear equations based on
modified homotopy perturbation method},
journal = {Appl. Math. Comput.},
volume = {191},
number = {1},
pages = {199--205},
year = {2007},
url = {https://doi.org/10.1016/j.amc.2007.02.079},
doi = {10.1016/J.AMC.2007.02.079},
timestamp = {Wed, 04 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/GolbabaiJ07d.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/WuZ07,
author = {Qingbiao Wu and
Yueqing Zhao},
title = {Newton-Kantorovich type convergence theorem for a family of new deformed
Chebyshev method},
journal = {Appl. Math. Comput.},
volume = {192},
number = {2},
pages = {405--412},
year = {2007},
url = {https://doi.org/10.1016/j.amc.2007.03.018},
doi = {10.1016/J.AMC.2007.03.018},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/WuZ07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ijcm/Salkuyeh07,
author = {Davod Khojasteh Salkuyeh},
title = {A family of Newton-type methods for solving nonlinear equations},
journal = {Int. J. Comput. Math.},
volume = {84},
number = {3},
pages = {411--419},
year = {2007},
url = {https://doi.org/10.1080/00207160701210075},
doi = {10.1080/00207160701210075},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/Salkuyeh07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/sdm/KimSD07,
author = {Dongmin Kim and
Suvrit Sra and
Inderjit S. Dhillon},
title = {Fast Newton-type Methods for the Least Squares Nonnegative Matrix
Approximation Problem},
booktitle = {Proceedings of the Seventh {SIAM} International Conference on Data
Mining, April 26-28, 2007, Minneapolis, Minnesota, {USA}},
pages = {343--354},
publisher = {{SIAM}},
year = {2007},
url = {https://doi.org/10.1137/1.9781611972771.31},
doi = {10.1137/1.9781611972771.31},
timestamp = {Mon, 05 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/sdm/KimSD07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/Tao06,
author = {Yan Tao},
title = {Newton-Type method for a class of mathematical programs with complementarity
constraints},
journal = {Comput. Math. Appl.},
volume = {52},
number = {12},
pages = {1627--1638},
year = {2006},
url = {https://doi.org/10.1016/j.camwa.2006.09.002},
doi = {10.1016/J.CAMWA.2006.09.002},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/Tao06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijmmsc/VijeshS06,
author = {V. Antony Vijesh and
P. V. Subrahmanyam},
title = {A Newton-type method and its application},
journal = {Int. J. Math. Math. Sci.},
volume = {2006},
pages = {23674:1--23674:9},
year = {2006},
url = {https://doi.org/10.1155/IJMMS/2006/23674},
doi = {10.1155/IJMMS/2006/23674},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijmmsc/VijeshS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/orl/ZhouQ06,
author = {Guanglu Zhou and
Liqun Qi},
title = {On the convergence of an inexact Newton-type method},
journal = {Oper. Res. Lett.},
volume = {34},
number = {6},
pages = {647--652},
year = {2006},
url = {https://doi.org/10.1016/j.orl.2005.11.001},
doi = {10.1016/J.ORL.2005.11.001},
timestamp = {Thu, 20 Sep 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/orl/ZhouQ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamjo/KanzowN05,
author = {Christian Kanzow and
Christian Nagel},
title = {Quadratic Convergence of a Nonsmooth Newton-Type Method for Semidefinite
Programs Without Strict Complementarity},
journal = {{SIAM} J. Optim.},
volume = {15},
number = {3},
pages = {654--672},
year = {2005},
url = {https://doi.org/10.1137/S1052623403431147},
doi = {10.1137/S1052623403431147},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamjo/KanzowN05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsp/Selva05a,
author = {Jesus Selva},
title = {An efficient Newton-type method for the computation of {ML} estimators
in a uniform linear array},
journal = {{IEEE} Trans. Signal Process.},
volume = {53},
number = {6},
pages = {2036--2045},
year = {2005},
url = {https://doi.org/10.1109/TSP.2005.847842},
doi = {10.1109/TSP.2005.847842},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tsp/Selva05a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/parco/ArnalMMP05,
author = {Josep Arnal and
H{\'{e}}ctor Migall{\'{o}}n Gomis and
Violeta Migall{\'{o}}n and
Jos{\'{e}} Penad{\'{e}}s},
editor = {Gerhard R. Joubert and
Wolfgang E. Nagel and
Frans J. Peters and
Oscar G. Plata and
P. Tirado and
Emilio L. Zapata},
title = {Parallel Newton-Type Iterative Methods Based on {ILU} Factorizations},
booktitle = {Parallel Computing: Current {\&} Future Issues of High-End Computing,
Proceedings of the International Conference ParCo 2005, 13-16 September
2005, Department of Computer Architecture, University of Malaga, Spain},
series = {John von Neumann Institute for Computing Series},
volume = {33},
pages = {245--252},
publisher = {Central Institute for Applied Mathematics, J{\"{u}}lich, Germany},
year = {2005},
timestamp = {Fri, 05 Sep 2008 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/parco/ArnalMMP05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/oms/Fasano04,
author = {Giovanni Fasano},
title = {Conjugate gradient (CG)-type method for the solution of Newton's equation
within optimization frameworks},
journal = {Optim. Methods Softw.},
volume = {19},
number = {3-4},
pages = {267--290},
year = {2004},
url = {https://doi.org/10.1080/10556780410001689234},
doi = {10.1080/10556780410001689234},
timestamp = {Thu, 24 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/oms/Fasano04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamjo/IzmailovS04,
author = {Alexey F. Izmailov and
Mikhail V. Solodov},
title = {Newton-Type Methods for Optimization Problems without Constraint Qualifications},
journal = {{SIAM} J. Optim.},
volume = {15},
number = {1},
pages = {210--228},
year = {2004},
url = {https://doi.org/10.1137/S1052623403427264},
doi = {10.1137/S1052623403427264},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamjo/IzmailovS04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/spl/Selva04,
author = {Jesus Selva},
title = {Newton-type methods in array processing},
journal = {{IEEE} Signal Process. Lett.},
volume = {11},
number = {2},
pages = {104--107},
year = {2004},
url = {https://doi.org/10.1109/LSP.2003.821651},
doi = {10.1109/LSP.2003.821651},
timestamp = {Tue, 29 Aug 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/spl/Selva04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iccsa/KulikovM04,
author = {Gennady Y. Kulikov and
Arkadi I. Merkulov},
editor = {Antonio Lagan{\`{a}} and
Marina L. Gavrilova and
Vipin Kumar and
Youngsong Mun and
Chih Jeng Kenneth Tan and
Osvaldo Gervasi},
title = {Asymptotic Error Estimate of Iterative Newton-Type Methods and Its
Practical Application},
booktitle = {Computational Science and Its Applications - {ICCSA} 2004, International
Conference, Assisi, Italy, May 14-17, 2004, Proceedings, Part {III}},
series = {Lecture Notes in Computer Science},
volume = {3045},
pages = {667--675},
publisher = {Springer},
year = {2004},
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