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ORCIDBibTeX records: Jan Verschelde
@inproceedings{DBLP:conf/casc/JoyceV24,
author = {Johnny Joyce and
Jan Verschelde},
editor = {Fran{\c{c}}ois Boulier and
Chenqi Mou and
Timur M. Sadykov and
Evgenii V. Vorozhtsov},
title = {Algebraic Representations for Faster Predictions in Convolutional
Neural Networks},
booktitle = {Computer Algebra in Scientific Computing - 26th International Workshop,
{CASC} 2024, Rennes, France, September 2-6, 2024, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {14938},
pages = {161--177},
publisher = {Springer},
year = {2024},
url = {https://doi.org/10.1007/978-3-031-69070-9\_10},
doi = {10.1007/978-3-031-69070-9\_10},
timestamp = {Wed, 28 Aug 2024 21:54:03 +0200},
biburl = {https://dblp.org/rec/conf/casc/JoyceV24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/Verschelde24,
author = {Jan Verschelde},
editor = {Fran{\c{c}}ois Boulier and
Chenqi Mou and
Timur M. Sadykov and
Evgenii V. Vorozhtsov},
title = {{GPU} Accelerated Newton for Taylor Series Solutions of Polynomial
Homotopies in Multiple Double Precision},
booktitle = {Computer Algebra in Scientific Computing - 26th International Workshop,
{CASC} 2024, Rennes, France, September 2-6, 2024, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {14938},
pages = {328--348},
publisher = {Springer},
year = {2024},
url = {https://doi.org/10.1007/978-3-031-69070-9\_19},
doi = {10.1007/978-3-031-69070-9\_19},
timestamp = {Wed, 28 Aug 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/casc/Verschelde24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/VerscheldeV24,
author = {Jan Verschelde and
Kylash Viswanathan},
editor = {Kevin Buzzard and
Alicia Dickenstein and
Bettina Eick and
Anton Leykin and
Yue Ren},
title = {Extrapolating Solution Paths of Polynomial Homotopies Towards Singularities
with PHCpack and Phcpy},
booktitle = {Mathematical Software - {ICMS} 2024 - 8th International Conference,
Durham, UK, July 22-25, 2024, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {14749},
pages = {365--374},
publisher = {Springer},
year = {2024},
url = {https://doi.org/10.1007/978-3-031-64529-7\_37},
doi = {10.1007/978-3-031-64529-7\_37},
timestamp = {Sat, 27 Jul 2024 22:55:02 +0200},
biburl = {https://dblp.org/rec/conf/icms/VerscheldeV24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-14844,
author = {Jan Verschelde and
Kylash Viswanathan},
title = {Extrapolating Solution Paths of Polynomial Homotopies towards Singularities
with PHCpack and phcpy},
journal = {CoRR},
volume = {abs/2403.14844},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.14844},
doi = {10.48550/ARXIV.2403.14844},
eprinttype = {arXiv},
eprint = {2403.14844},
timestamp = {Tue, 09 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-14844.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2404-17681,
author = {Jan Verschelde and
Kylash Viswanathan},
title = {Extrapolating on Taylor Series Solutions of Homotopies with Nearby
Poles},
journal = {CoRR},
volume = {abs/2404.17681},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2404.17681},
doi = {10.48550/ARXIV.2404.17681},
eprinttype = {arXiv},
eprint = {2404.17681},
timestamp = {Mon, 27 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2404-17681.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2408-07815,
author = {Johnny Joyce and
Jan Verschelde},
title = {Algebraic Representations for Faster Predictions in Convolutional
Neural Networks},
journal = {CoRR},
volume = {abs/2408.07815},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2408.07815},
doi = {10.48550/ARXIV.2408.07815},
eprinttype = {arXiv},
eprint = {2408.07815},
timestamp = {Mon, 23 Sep 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2408-07815.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-12659,
author = {Jan Verschelde},
title = {{GPU} Accelerated Newton for Taylor Series Solutions of Polynomial
Homotopies in Multiple Double Precision},
journal = {CoRR},
volume = {abs/2301.12659},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2301.12659},
doi = {10.48550/ARXIV.2301.12659},
eprinttype = {arXiv},
eprint = {2301.12659},
timestamp = {Wed, 01 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2301-12659.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/VerscheldeV22,
author = {Jan Verschelde and
Kylash Viswanathan},
editor = {Fran{\c{c}}ois Boulier and
Matthew England and
Timur M. Sadykov and
Evgenii V. Vorozhtsov},
title = {Locating the Closest Singularity in a Polynomial Homotopy},
booktitle = {Computer Algebra in Scientific Computing - 24th International Workshop,
{CASC} 2022, Gebze, Turkey, August 22-26, 2022, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {13366},
pages = {333--352},
publisher = {Springer},
year = {2022},
url = {https://doi.org/10.1007/978-3-031-14788-3\_19},
doi = {10.1007/978-3-031-14788-3\_19},
timestamp = {Fri, 12 Aug 2022 22:26:09 +0200},
biburl = {https://dblp.org/rec/conf/casc/VerscheldeV22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ipps/Verschelde22,
author = {Jan Verschelde},
title = {Least Squares on GPUs in Multiple Double Precision},
booktitle = {{IEEE} International Parallel and Distributed Processing Symposium,
{IPDPS} Workshops 2022, Lyon, France, May 30 - June 3, 2022},
pages = {828--837},
publisher = {{IEEE}},
year = {2022},
url = {https://doi.org/10.1109/IPDPSW55747.2022.00139},
doi = {10.1109/IPDPSW55747.2022.00139},
timestamp = {Mon, 08 Aug 2022 16:44:20 +0200},
biburl = {https://dblp.org/rec/conf/ipps/Verschelde22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2205-07380,
author = {Jan Verschelde and
Kylash Viswanathan},
title = {Locating the Closest Singularity in a Polynomial Homotopy},
journal = {CoRR},
volume = {abs/2205.07380},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2205.07380},
doi = {10.48550/ARXIV.2205.07380},
eprinttype = {arXiv},
eprint = {2205.07380},
timestamp = {Tue, 17 May 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2205-07380.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2206-14270,
author = {Jan Verschelde},
title = {Exporting Ada Software to Python and Julia},
journal = {CoRR},
volume = {abs/2206.14270},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2206.14270},
doi = {10.48550/ARXIV.2206.14270},
eprinttype = {arXiv},
eprint = {2206.14270},
timestamp = {Mon, 04 Jul 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2206-14270.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/LeykinCSVV21,
author = {Anton Leykin and
Abraham Mart{\'{\i}}n del Campo and
Frank Sottile and
Ravi Vakil and
Jan Verschelde},
title = {Numerical Schubert calculus via the Littlewood-Richardson homotopy
algorithm},
journal = {Math. Comput.},
volume = {90},
number = {329},
pages = {1407--1433},
year = {2021},
url = {https://doi.org/10.1090/mcom/3579},
doi = {10.1090/MCOM/3579},
timestamp = {Mon, 26 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/moc/LeykinCSVV21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ipps/Verschelde21,
author = {Jan Verschelde},
title = {Accelerated Polynomial Evaluation and Differentiation at Power Series
in Multiple Double Precision},
booktitle = {{IEEE} International Parallel and Distributed Processing Symposium
Workshops, {IPDPS} Workshops 2021, Portland, OR, USA, June 17-21,
2021},
pages = {740--749},
publisher = {{IEEE}},
year = {2021},
url = {https://doi.org/10.1109/IPDPSW52791.2021.00111},
doi = {10.1109/IPDPSW52791.2021.00111},
timestamp = {Mon, 28 Jun 2021 11:45:26 +0200},
biburl = {https://dblp.org/rec/conf/ipps/Verschelde21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2101-10881,
author = {Jan Verschelde},
title = {Accelerated Polynomial Evaluation and Differentiation at Power Series
in Multiple Double Precision},
journal = {CoRR},
volume = {abs/2101.10881},
year = {2021},
url = {https://arxiv.org/abs/2101.10881},
eprinttype = {arXiv},
eprint = {2101.10881},
timestamp = {Sun, 31 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2101-10881.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2110-08375,
author = {Jan Verschelde},
title = {Least Squares on GPUs in Multiple Double Precision},
journal = {CoRR},
volume = {abs/2110.08375},
year = {2021},
url = {https://arxiv.org/abs/2110.08375},
eprinttype = {arXiv},
eprint = {2110.08375},
timestamp = {Fri, 22 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2110-08375.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/TelenBV20,
author = {Simon Telen and
Marc Van Barel and
Jan Verschelde},
title = {A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy
Continuation},
journal = {{SIAM} J. Sci. Comput.},
volume = {42},
number = {6},
pages = {A3610--A3637},
year = {2020},
url = {https://doi.org/10.1137/19M1288036},
doi = {10.1137/19M1288036},
timestamp = {Mon, 01 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/TelenBV20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/TelenBV20,
author = {Simon Telen and
Marc Van Barel and
Jan Verschelde},
editor = {Fran{\c{c}}ois Boulier and
Matthew England and
Timur M. Sadykov and
Evgenii V. Vorozhtsov},
title = {Robust Numerical Tracking of One Path of a Polynomial Homotopy on
Parallel Shared Memory Computers},
booktitle = {Computer Algebra in Scientific Computing - 22nd International Workshop,
{CASC} 2020, Linz, Austria, September 14-18, 2020, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {12291},
pages = {563--582},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-60026-6\_33},
doi = {10.1007/978-3-030-60026-6\_33},
timestamp = {Mon, 31 Jan 2022 07:36:54 +0100},
biburl = {https://dblp.org/rec/conf/casc/TelenBV20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-09504,
author = {Simon Telen and
Marc Van Barel and
Jan Verschelde},
title = {Robust Numerical Tracking of One Path of a Polynomial Homotopy on
Parallel Shared Memory Computers},
journal = {CoRR},
volume = {abs/2002.09504},
year = {2020},
url = {https://arxiv.org/abs/2002.09504},
eprinttype = {arXiv},
eprint = {2002.09504},
timestamp = {Mon, 02 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2002-09504.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2012-06607,
author = {Jan Verschelde},
title = {Parallel Software to Offset the Cost of Higher Precision},
journal = {CoRR},
volume = {abs/2012.06607},
year = {2020},
url = {https://arxiv.org/abs/2012.06607},
eprinttype = {arXiv},
eprint = {2012.06607},
timestamp = {Sat, 02 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2012-06607.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/scipy/OttoFV19,
author = {Jasmine Otto and
Angus G. Forbes and
Jan Verschelde},
editor = {Chris Calloway and
David Lippa and
Dillon Niederhut and
David Shupe},
title = {Solving Polynomial Systems with phcpy},
booktitle = {Proceedings of the 18th Python in Science Conference 2019 (SciPy 2019),
Austin, Texas, July 8 - July 14, 2019},
pages = {62--68},
publisher = {scipy.org},
year = {2019},
url = {https://doi.org/10.25080/Majora-7ddc1dd1-009},
doi = {10.25080/MAJORA-7DDC1DD1-009},
timestamp = {Sun, 12 Feb 2023 18:48:24 +0100},
biburl = {https://dblp.org/rec/conf/scipy/OttoFV19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1907-00096,
author = {Jasmine Otto and
Angus G. Forbes and
Jan Verschelde},
title = {Solving Polynomial Systems with phcpy},
journal = {CoRR},
volume = {abs/1907.00096},
year = {2019},
url = {http://arxiv.org/abs/1907.00096},
eprinttype = {arXiv},
eprint = {1907.00096},
timestamp = {Mon, 09 Sep 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1907-00096.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1909-04984,
author = {Simon Telen and
Marc Van Barel and
Jan Verschelde},
title = {A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy
Continuation},
journal = {CoRR},
volume = {abs/1909.04984},
year = {2019},
url = {http://arxiv.org/abs/1909.04984},
eprinttype = {arXiv},
eprint = {1909.04984},
timestamp = {Wed, 18 Sep 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1909-04984.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/Verschelde18,
author = {Jan Verschelde},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Werner M. Seiler and
Evgenii V. Vorozhtsov},
title = {A Blackbox Polynomial System Solver on Parallel Shared Memory Computers},
booktitle = {Computer Algebra in Scientific Computing - 20th International Workshop,
{CASC} 2018, Lille, France, September 17-21, 2018, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {11077},
pages = {361--375},
publisher = {Springer},
year = {2018},
url = {https://doi.org/10.1007/978-3-319-99639-4\_25},
doi = {10.1007/978-3-319-99639-4\_25},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/casc/Verschelde18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1804-03807,
author = {Jan Verschelde},
title = {A Blackbox Polynomial System Solver on Parallel Shared Memory Computers},
journal = {CoRR},
volume = {abs/1804.03807},
year = {2018},
url = {http://arxiv.org/abs/1804.03807},
eprinttype = {arXiv},
eprint = {1804.03807},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1804-03807.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/VerscheldeWZ17,
author = {Jan Verschelde and
Stephen M. Watt and
Lihong Zhi},
title = {{TCS} {SNC} Preface},
journal = {Theor. Comput. Sci.},
volume = {681},
pages = {1--2},
year = {2017},
url = {https://doi.org/10.1016/j.tcs.2017.03.023},
doi = {10.1016/J.TCS.2017.03.023},
timestamp = {Wed, 14 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tcs/VerscheldeWZ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/JensenSV17,
author = {Anders Nedergaard Jensen and
Jeff Sommars and
Jan Verschelde},
editor = {Jean{-}Charles Faug{\`{e}}re and
Michael B. Monagan and
Hans{-}Wolfgang Loidl},
title = {Computing Tropical Prevarieties in Parallel},
booktitle = {Proceedings of the International Workshop on Parallel Symbolic Computation,
PASCO@ISSAC 2017, Kaiserslautern, Germany, July 23-24, 2017},
pages = {9:1--9:8},
publisher = {{ACM}},
year = {2017},
url = {https://doi.org/10.1145/3115936.3115945},
doi = {10.1145/3115936.3115945},
timestamp = {Tue, 06 Nov 2018 16:57:05 +0100},
biburl = {https://dblp.org/rec/conf/issac/JensenSV17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/JensenSV17,
author = {Anders Nedergaard Jensen and
Jeff Sommars and
Jan Verschelde},
title = {Computing Tropical Prevarieties in Parallel},
journal = {CoRR},
volume = {abs/1705.00720},
year = {2017},
url = {http://arxiv.org/abs/1705.00720},
eprinttype = {arXiv},
eprint = {1705.00720},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/JensenSV17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/BlissV16,
author = {Nathan Bliss and
Jan Verschelde},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Werner M. Seiler and
Evgenii V. Vorozhtsov},
title = {Computing All Space Curve Solutions of Polynomial Systems by Polyhedral
Methods},
booktitle = {Computer Algebra in Scientific Computing - 18th International Workshop,
{CASC} 2016, Bucharest, Romania, September 19-23, 2016, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9890},
pages = {73--86},
publisher = {Springer},
year = {2016},
url = {https://doi.org/10.1007/978-3-319-45641-6\_6},
doi = {10.1007/978-3-319-45641-6\_6},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/casc/BlissV16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/SommarsV16,
author = {Jeff Sommars and
Jan Verschelde},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Werner M. Seiler and
Evgenii V. Vorozhtsov},
title = {Pruning Algorithms for Pretropisms of Newton Polytopes},
booktitle = {Computer Algebra in Scientific Computing - 18th International Workshop,
{CASC} 2016, Bucharest, Romania, September 19-23, 2016, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9890},
pages = {489--503},
publisher = {Springer},
year = {2016},
url = {https://doi.org/10.1007/978-3-319-45641-6\_31},
doi = {10.1007/978-3-319-45641-6\_31},
timestamp = {Mon, 22 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/casc/SommarsV16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/SommarsV16,
author = {Jeff Sommars and
Jan Verschelde},
title = {Computing Pretropisms for the Cyclic n-Roots Problem},
journal = {CoRR},
volume = {abs/1602.07348},
year = {2016},
url = {http://arxiv.org/abs/1602.07348},
eprinttype = {arXiv},
eprint = {1602.07348},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/SommarsV16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BlissV16,
author = {Nathan Bliss and
Jan Verschelde},
title = {Computing all Space Curve Solutions of Polynomial Systems by Polyhedral
Methods},
journal = {CoRR},
volume = {abs/1606.05563},
year = {2016},
url = {http://arxiv.org/abs/1606.05563},
eprinttype = {arXiv},
eprint = {1606.05563},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BlissV16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BlissV16a,
author = {Nathan Bliss and
Jan Verschelde},
title = {The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial
Homotopies},
journal = {CoRR},
volume = {abs/1612.05313},
year = {2016},
url = {http://arxiv.org/abs/1612.05313},
eprinttype = {arXiv},
eprint = {1612.05313},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BlissV16a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/VerscheldeY15,
author = {Jan Verschelde and
Xiangcheng Yu},
title = {Polynomial homotopy continuation on GPUs},
journal = {{ACM} Commun. Comput. Algebra},
volume = {49},
number = {4},
pages = {130--133},
year = {2015},
url = {https://doi.org/10.1145/2893803.2893810},
doi = {10.1145/2893803.2893810},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/VerscheldeY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cap/VerscheldeY15,
author = {Jan Verschelde and
Xiangcheng Yu},
editor = {Jean{-}Guillaume Dumas and
Erich L. Kaltofen and
Cl{\'{e}}ment Pernet},
title = {Accelerating polynomial homotopy continuation on a graphics processing
unit with double double and quad double arithmetic},
booktitle = {Proceedings of the 2015 International Workshop on Parallel Symbolic
Computation, {PASCO} 2015, Bath, United Kingdom, July 10-12, 2015},
pages = {109--118},
publisher = {{ACM}},
year = {2015},
url = {https://doi.org/10.1145/2790282.2790294},
doi = {10.1145/2790282.2790294},
timestamp = {Thu, 11 Mar 2021 17:04:51 +0100},
biburl = {https://dblp.org/rec/conf/cap/VerscheldeY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/BlissSVY15,
author = {Nathan Bliss and
Jeff Sommars and
Jan Verschelde and
Xiangcheng Yu},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Werner M. Seiler and
Evgenii V. Vorozhtsov},
title = {Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation},
booktitle = {Computer Algebra in Scientific Computing - 17th International Workshop,
{CASC} 2015, Aachen, Germany, September 14-18, 2015, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9301},
pages = {87--100},
publisher = {Springer},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-24021-3\_7},
doi = {10.1007/978-3-319-24021-3\_7},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/casc/BlissSVY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hpcc/VerscheldeY15,
author = {Jan Verschelde and
Xiangcheng Yu},
title = {Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics
Processing Unit in Double Double and Quad Double Arithmetic},
booktitle = {17th {IEEE} International Conference on High Performance Computing
and Communications, {HPCC} 2015, 7th {IEEE} International Symposium
on Cyberspace Safety and Security, {CSS} 2015, and 12th {IEEE} International
Conference on Embedded Software and Systems, {ICESS} 2015, New York,
NY, USA, August 24-26, 2015},
pages = {371--376},
publisher = {{IEEE}},
year = {2015},
url = {https://doi.org/10.1109/HPCC-CSS-ICESS.2015.98},
doi = {10.1109/HPCC-CSS-ICESS.2015.98},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/hpcc/VerscheldeY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/VerscheldeY15,
author = {Jan Verschelde and
Xiangcheng Yu},
title = {Accelerating Polynomial Homotopy Continuation on a Graphics Processing
Unit with Double Double and Quad Double Arithmetic},
journal = {CoRR},
volume = {abs/1501.06625},
year = {2015},
url = {http://arxiv.org/abs/1501.06625},
eprinttype = {arXiv},
eprint = {1501.06625},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/VerscheldeY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/VerscheldeY15a,
author = {Jan Verschelde and
Xiangcheng Yu},
title = {Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics
Processing Unit},
journal = {CoRR},
volume = {abs/1505.00383},
year = {2015},
url = {http://arxiv.org/abs/1505.00383},
eprinttype = {arXiv},
eprint = {1505.00383},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/VerscheldeY15a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BlissSVY15,
author = {Nathan Bliss and
Jeff Sommars and
Jan Verschelde and
Xiangcheng Yu},
title = {Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation},
journal = {CoRR},
volume = {abs/1506.02618},
year = {2015},
url = {http://arxiv.org/abs/1506.02618},
eprinttype = {arXiv},
eprint = {1506.02618},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BlissSVY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/SommarsV15,
author = {Jeff Sommars and
Jan Verschelde},
title = {Exact Gift Wrapping to Prune the Tree of Edges of Newton Polytopes
to Compute Pretropisms},
journal = {CoRR},
volume = {abs/1512.01594},
year = {2015},
url = {http://arxiv.org/abs/1512.01594},
eprinttype = {arXiv},
eprint = {1512.01594},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/SommarsV15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hpcc/VerscheldeY14,
author = {Jan Verschelde and
Xiangcheng Yu},
title = {{GPU} Acceleration of Newton's Method for Large Systems of Polynomial
Equations in Double Double and Quad Double Arithmetic},
booktitle = {2014 {IEEE} International Conference on High Performance Computing
and Communications, 6th {IEEE} International Symposium on Cyberspace
Safety and Security, 11th {IEEE} International Conference on Embedded
Software and Systems, {HPCC/CSS/ICESS} 2014, Paris, France, August
20-22, 2014},
pages = {161--164},
publisher = {{IEEE}},
year = {2014},
url = {https://doi.org/10.1109/HPCC.2014.31},
doi = {10.1109/HPCC.2014.31},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/hpcc/VerscheldeY14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/VerscheldeY14,
author = {Jan Verschelde and
Xiangcheng Yu},
title = {{GPU} acceleration of Newton's method for large systems of polynomial
equations in double double and quad double arithmetic},
journal = {CoRR},
volume = {abs/1402.2626},
year = {2014},
url = {http://arxiv.org/abs/1402.2626},
eprinttype = {arXiv},
eprint = {1402.2626},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/VerscheldeY14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/AdrovicV14,
author = {Danko Adrovic and
Jan Verschelde},
title = {Computing all Affine Solution Sets of Binomial Systems},
journal = {CoRR},
volume = {abs/1405.0320},
year = {2014},
url = {http://arxiv.org/abs/1405.0320},
eprinttype = {arXiv},
eprint = {1405.0320},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/AdrovicV14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/casc/AdrovicV13,
author = {Danko Adrovic and
Jan Verschelde},
editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Ernst W. Mayr and
Evgenii V. Vorozhtsov},
title = {Polyhedral Methods for Space Curves Exploiting Symmetry Applied to
the Cyclic n-roots Problem},
booktitle = {Computer Algebra in Scientific Computing - 15th International Workshop,
{CASC} 2013, Berlin, Germany, September 9-13, 2013. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8136},
pages = {10--29},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-319-02297-0\_2},
doi = {10.1007/978-3-319-02297-0\_2},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/casc/AdrovicV13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ipps/VerscheldeY13,
author = {Jan Verschelde and
Genady Yoffe},
title = {Orthogonalization on a General Purpose Graphics Processing Unit with
Double Double and Quad Double Arithmetic},
booktitle = {2013 {IEEE} International Symposium on Parallel {\&} Distributed
Processing, Workshops and Phd Forum, Cambridge, MA, USA, May 20-24,
2013},
pages = {1373--1380},
publisher = {{IEEE}},
year = {2013},
url = {https://doi.org/10.1109/IPDPSW.2013.189},
doi = {10.1109/IPDPSW.2013.189},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/ipps/VerscheldeY13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Verschelde13,
author = {Jan Verschelde},
title = {Modernizing PHCpack through phcpy},
journal = {CoRR},
volume = {abs/1310.0056},
year = {2013},
url = {http://arxiv.org/abs/1310.0056},
eprinttype = {arXiv},
eprint = {1310.0056},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Verschelde13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/AdrovicV13,
author = {Danko Adrovic and
Jan Verschelde},
title = {A Polyhedral Method to Compute All Affine Solution Sets of Sparse
Polynomial Systems},
journal = {CoRR},
volume = {abs/1310.4128},
year = {2013},
url = {http://arxiv.org/abs/1310.4128},
eprinttype = {arXiv},
eprint = {1310.4128},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/AdrovicV13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ipps/VerscheldeY12,
author = {Jan Verschelde and
Genady Yoffe},
title = {Evaluating Polynomials in Several Variables and their Derivatives
on a {GPU} Computing Processor},
booktitle = {26th {IEEE} International Parallel and Distributed Processing Symposium
Workshops {\&} PhD Forum, {IPDPS} 2012, Shanghai, China, May 21-25,
2012},
pages = {1397--1405},
publisher = {{IEEE} Computer Society},
year = {2012},
url = {https://doi.org/10.1109/IPDPSW.2012.177},
doi = {10.1109/IPDPSW.2012.177},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/ipps/VerscheldeY12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/AdrovicV12,
author = {Danko Adrovic and
Jan Verschelde},
editor = {Joris van der Hoeven and
Mark van Hoeij},
title = {Computing Puiseux series for algebraic surfaces},
booktitle = {International Symposium on Symbolic and Algebraic Computation, ISSAC'12,
Grenoble, France - July 22 - 25, 2012},
pages = {20--27},
publisher = {{ACM}},
year = {2012},
url = {https://doi.org/10.1145/2442829.2442837},
doi = {10.1145/2442829.2442837},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/AdrovicV12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1201-0499,
author = {Jan Verschelde and
Genady Yoffe},
title = {Evaluating polynomials in several variables and their derivatives
on a {GPU} computing processor},
journal = {CoRR},
volume = {abs/1201.0499},
year = {2012},
url = {http://arxiv.org/abs/1201.0499},
eprinttype = {arXiv},
eprint = {1201.0499},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1201-0499.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1201-3401,
author = {Danko Adrovic and
Jan Verschelde},
title = {Computing Puiseux Series for Algebraic Surfaces},
journal = {CoRR},
volume = {abs/1201.3401},
year = {2012},
url = {http://arxiv.org/abs/1201.3401},
eprinttype = {arXiv},
eprint = {1201.3401},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1201-3401.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1210-0800,
author = {Jan Verschelde and
Genady Yoffe},
title = {Orthogononalization on a general purpose graphics processing unit
with double double and quad double arithmetic},
journal = {CoRR},
volume = {abs/1210.0800},
year = {2012},
url = {http://arxiv.org/abs/1210.0800},
eprinttype = {arXiv},
eprint = {1210.0800},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1210-0800.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/GuanV11,
author = {Yun Guan and
Jan Verschelde},
title = {Sampling algebraic sets in local intrinsic coordinates},
journal = {Comput. Math. Appl.},
volume = {62},
number = {10},
pages = {3706--3721},
year = {2011},
url = {https://doi.org/10.1016/j.camwa.2011.09.013},
doi = {10.1016/J.CAMWA.2011.09.013},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/GuanV11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/AdrovicV11,
author = {Danko Adrovic and
Jan Verschelde},
title = {Tropical algebraic geometry in Maple: {A} preprocessing algorithm
for finding common factors for multivariate polynomials with approximate
coefficients},
journal = {J. Symb. Comput.},
volume = {46},
number = {7},
pages = {755--772},
year = {2011},
url = {https://doi.org/10.1016/j.jsc.2010.08.011},
doi = {10.1016/J.JSC.2010.08.011},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/AdrovicV11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1105-4881,
author = {Elizabeth Gross and
Sonja Petrovic and
Jan Verschelde},
title = {PHCpack in Macaulay2},
journal = {CoRR},
volume = {abs/1105.4881},
year = {2011},
url = {http://arxiv.org/abs/1105.4881},
eprinttype = {arXiv},
eprint = {1105.4881},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1105-4881.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1109-0545,
author = {Jan Verschelde and
Genady Yoffe},
title = {Quality Up in Polynomial Homotopy Continuation by Multithreaded Path
Tracking},
journal = {CoRR},
volume = {abs/1109.0545},
year = {2011},
url = {http://arxiv.org/abs/1109.0545},
eprinttype = {arXiv},
eprint = {1109.0545},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1109-0545.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/Verschelde10,
author = {Jan Verschelde},
title = {Polynomial homotopy continuation with PHCpack},
journal = {{ACM} Commun. Comput. Algebra},
volume = {44},
number = {3/4},
pages = {217--220},
year = {2010},
url = {https://doi.org/10.1145/1940475.1940524},
doi = {10.1145/1940475.1940524},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/Verschelde10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/PiretV10,
author = {Kathy Piret and
Jan Verschelde},
title = {Sweeping algebraic curves for singular solutions},
journal = {J. Comput. Appl. Math.},
volume = {234},
number = {4},
pages = {1228--1237},
year = {2010},
url = {https://doi.org/10.1016/j.cam.2009.07.056},
doi = {10.1016/J.CAM.2009.07.056},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/PiretV10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cap/VerscheldeY10,
author = {Jan Verschelde and
Genady Yoffe},
editor = {Marc Moreno Maza and
Jean{-}Louis Roch},
title = {Polynomial homotopies on multicore workstations},
booktitle = {Proceedings of the 4th International Workshop on Parallel Symbolic
Computation, {PASCO} 2010, July 21-23, 2010, Grenoble, France},
pages = {131--140},
publisher = {{ACM}},
year = {2010},
url = {https://doi.org/10.1145/1837210.1837230},
doi = {10.1145/1837210.1837230},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/cap/VerscheldeY10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/SottileVV10,
author = {Frank Sottile and
Ravi Vakil and
Jan Verschelde},
editor = {Wolfram Koepf},
title = {Solving schubert problems with Littlewood-Richardson homotopies},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2010, Munich, Germany, July 25-28, 2010, Proceedings},
pages = {179--186},
publisher = {{ACM}},
year = {2010},
url = {https://doi.org/10.1145/1837934.1837971},
doi = {10.1145/1837934.1837971},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/SottileVV10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcse/LeykinV09,
author = {Anton Leykin and
Jan Verschelde},
title = {Decomposing solution sets of polynomial systems: a new parallel monodromy
breakup algorithm},
journal = {Int. J. Comput. Sci. Eng.},
volume = {4},
number = {2},
pages = {94--101},
year = {2009},
url = {https://doi.org/10.1504/IJCSE.2009.027001},
doi = {10.1504/IJCSE.2009.027001},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcse/LeykinV09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/BiniPV08,
author = {Dario Andrea Bini and
Victor Y. Pan and
Jan Verschelde},
title = {Preface},
journal = {Theor. Comput. Sci.},
volume = {409},
number = {2},
pages = {155--157},
year = {2008},
url = {https://doi.org/10.1016/j.tcs.2008.09.001},
doi = {10.1016/J.TCS.2008.09.001},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/BiniPV08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hpcs/GuanV08,
author = {Yun Guan and
Jan Verschelde},
title = {Parallel Implementation of a Subsystem-by-Subsystem Solver},
booktitle = {22nd Annual International Symposium on High Performance Computing
Systems and Applications {(HPCS} 2008), June 9-11, 2008, Qu{\'{e}}bec
City, Canada},
pages = {117--123},
publisher = {{IEEE} Computer Society},
year = {2008},
url = {https://doi.org/10.1109/HPCS.2008.8},
doi = {10.1109/HPCS.2008.8},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/hpcs/GuanV08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@proceedings{DBLP:conf/issac/2007snc,
editor = {Stephen M. Watt and
Jan Verschelde},
title = {Symbolic-Numeric Computation, {SNC} 2007, International Workshop,
25-27 July 2007, University of Western Ontario, London, Ontario, Canada},
publisher = {{ACM}},
year = {2007},
url = {https://doi.org/10.1145/1277500},
doi = {10.1145/1277500},
isbn = {978-1-59593-744-5},
timestamp = {Thu, 16 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/2007snc.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/SzantoVZ06,
author = {{\'{A}}gnes Sz{\'{a}}nt{\'{o}} and
Jan Verschelde and
Zhonggang Zeng},
title = {Symbolic-numeric computation and applications: list of abstracts},
journal = {{ACM} Commun. Comput. Algebra},
volume = {40},
number = {1},
pages = {15--17},
year = {2006},
url = {https://doi.org/10.1145/1151446.1151451},
doi = {10.1145/1151446.1151451},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/SzantoVZ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/LeykinVZ06,
author = {Anton Leykin and
Jan Verschelde and
Ailing Zhao},
title = {Newton's method with deflation for isolated singularities of polynomial
systems},
journal = {Theor. Comput. Sci.},
volume = {359},
number = {1-3},
pages = {111--122},
year = {2006},
url = {https://doi.org/10.1016/j.tcs.2006.02.018},
doi = {10.1016/J.TCS.2006.02.018},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/LeykinVZ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/LeykinVZ06,
author = {Anton Leykin and
Jan Verschelde and
Yan Zhuang},
editor = {Andr{\'{e}}s Iglesias and
Nobuki Takayama},
title = {Parallel Homotopy Algorithms to Solve Polynomial Systems},
booktitle = {Mathematical Software - {ICMS} 2006, Second International Congress
on Mathematical Software, Castro Urdiales, Spain, September 1-3, 2006,
Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4151},
pages = {225--234},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/11832225\_22},
doi = {10.1007/11832225\_22},
timestamp = {Mon, 29 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/LeykinVZ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icms/LeykinV06,
author = {Anton Leykin and
Jan Verschelde},
editor = {Andr{\'{e}}s Iglesias and
Nobuki Takayama},
title = {Interfacing with the Numerical Homotopy Algorithms in \emph{PHCpack}},
booktitle = {Mathematical Software - {ICMS} 2006, Second International Congress
on Mathematical Software, Castro Urdiales, Spain, September 1-3, 2006,
Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4151},
pages = {354--360},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/11832225\_35},
doi = {10.1007/11832225\_35},
timestamp = {Thu, 25 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icms/LeykinV06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icppw/VerscheldeZ06,
author = {Jan Verschelde and
Yan Zhuang},
title = {Parallel Implementation of the Polyhedral Homotopy Method},
booktitle = {2006 International Conference on Parallel Processing Workshops {(ICPP}
Workshops 2006), 14-18 August 2006, Columbus, Ohio, {USA}},
pages = {481--488},
publisher = {{IEEE} Computer Society},
year = {2006},
url = {https://doi.org/10.1109/ICPPW.2006.61},
doi = {10.1109/ICPPW.2006.61},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icppw/VerscheldeZ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/SommeseVW05,
author = {Andrew J. Sommese and
Jan Verschelde and
Charles W. Wampler},
title = {An intrinsic homotopy for intersecting algebraic varieties},
journal = {J. Complex.},
volume = {21},
number = {4},
pages = {593--608},
year = {2005},
url = {https://doi.org/10.1016/j.jco.2004.09.007},
doi = {10.1016/J.JCO.2004.09.007},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jc/SommeseVW05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icppw/LeykinV05,
author = {Anton Leykin and
Jan Verschelde},
title = {Factoring Solution Sets of Polynomial Systems in Parallel},
booktitle = {34th International Conference on Parallel Processing Workshops {(ICPP}
2005 Workshops), 14-17 June 2005, Oslo, Norway},
pages = {173--180},
publisher = {{IEEE} Computer Society},
year = {2005},
url = {https://doi.org/10.1109/ICPPW.2005.31},
doi = {10.1109/ICPPW.2005.31},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icppw/LeykinV05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/ReidVWW05,
author = {Greg Reid and
Jan Verschelde and
Allan D. Wittkopf and
Wenyuan Wu},
editor = {Manuel Kauers},
title = {Symbolic-numeric completion of differential systems by homotopy continuation},
booktitle = {Symbolic and Algebraic Computation, International Symposium {ISSAC}
2005, Beijing, China, July 24-27, 2005, Proceedings},
pages = {269--276},
publisher = {{ACM}},
year = {2005},
url = {https://doi.org/10.1145/1073884.1073922},
doi = {10.1145/1073884.1073922},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/ReidVWW05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-cs-0509067,
author = {Anton Leykin and
Jan Verschelde},
title = {Decomposing Solution Sets of Polynomial Systems: {A} New Parallel
Monodromy Breakup Algorithm},
journal = {CoRR},
volume = {abs/cs/0509067},
year = {2005},
url = {http://arxiv.org/abs/cs/0509067},
eprinttype = {arXiv},
eprint = {cs/0509067},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-cs-0509067.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/SommeseVW04,
author = {Andrew J. Sommese and
Jan Verschelde and
Charles W. Wampler},
title = {Homotopies for Intersecting Solution Components of Polynomial Systems},
journal = {{SIAM} J. Numer. Anal.},
volume = {42},
number = {4},
pages = {1552--1571},
year = {2004},
url = {https://doi.org/10.1137/S0036142903430463},
doi = {10.1137/S0036142903430463},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/SommeseVW04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tac/VerscheldeW04,
author = {Jan Verschelde and
Yusong Wang},
title = {Computing dynamic output feedback laws},
journal = {{IEEE} Trans. Autom. Control.},
volume = {49},
number = {8},
pages = {1393--1397},
year = {2004},
url = {https://doi.org/10.1109/TAC.2004.832680},
doi = {10.1109/TAC.2004.832680},
timestamp = {Wed, 20 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/VerscheldeW04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/SommeseVW04,
author = {Andrew J. Sommese and
Jan Verschelde and
Charles W. Wampler},
title = {Numerical factorization of multivariate complex polynomials},
journal = {Theor. Comput. Sci.},
volume = {315},
number = {2-3},
pages = {651--669},
year = {2004},
url = {https://doi.org/10.1016/j.tcs.2004.01.011},
doi = {10.1016/J.TCS.2004.01.011},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/SommeseVW04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icppw/VerscheldeW04,
author = {Jan Verschelde and
Yusong Wang},
title = {Computing Feedback Laws for Linear Systems with a Parallel Pieri Homotopy},
booktitle = {33rd International Conference on Parallel Processing Workshops {(ICPP}
2004 Workshops), 15-18 August 2004, Montreal, Quebec, Canada},
pages = {222--229},
publisher = {{IEEE} Computer Society},
year = {2004},
url = {https://doi.org/10.1109/ICPPW.2004.1328021},
doi = {10.1109/ICPPW.2004.1328021},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icppw/VerscheldeW04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/Verschelde04,
author = {Jan Verschelde},
editor = {Jaime Gutierrez},
title = {Numerical algebraic geometry and symbolic computation},
booktitle = {Symbolic and Algebraic Computation, International Symposium {ISSAC}
2004, Santander, Spain, July 4-7, 2004, Proceedings},
pages = {3},
publisher = {{ACM}},
year = {2004},
url = {https://doi.org/10.1145/1005285.1005288},
doi = {10.1145/1005285.1005288},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/Verschelde04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dagstuhl/SommeseVW03,
author = {Andrew J. Sommese and
Jan Verschelde and
Charles W. Wampler},
editor = {Michael Joswig and
Nobuki Takayama},
title = {Numerical Irreducible Decomposition Using PHCpack},
booktitle = {Algebra, Geometry, and Software Systems [outcome of a Dagstuhl seminar]},
pages = {109--129},
publisher = {Springer},
year = {2003},
timestamp = {Tue, 15 Jul 2003 15:25:59 +0200},
biburl = {https://dblp.org/rec/conf/dagstuhl/SommeseVW03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/ReidSV02,
author = {Greg Reid and
Chris Smith and
Jan Verschelde},
title = {Geometric completion of differential systems using numeric-symbolic
continuation},
journal = {{SIGSAM} Bull.},
volume = {36},
number = {2},
pages = {1--17},
year = {2002},
url = {https://doi.org/10.1145/581316.581317},
doi = {10.1145/581316.581317},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cca/ReidSV02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/SommeseVW02,
author = {Andrew J. Sommese and
Jan Verschelde and
Charles W. Wampler},
title = {Symmetric Functions Applied to Decomposing Solution Sets of Polynomial
Systems},
journal = {{SIAM} J. Numer. Anal.},
volume = {40},
number = {6},
pages = {2026--2046},
year = {2002},
url = {https://doi.org/10.1137/S0036142901397101},
doi = {10.1137/S0036142901397101},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/SommeseVW02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/SommeseVW01,
author = {Andrew J. Sommese and
Jan Verschelde and
Charles W. Wampler},
title = {Numerical Decomposition of the Solution Sets of Polynomial Systems
into Irreducible Components},
journal = {{SIAM} J. Numer. Anal.},
volume = {38},
number = {6},
pages = {2022--2046},
year = {2001},
url = {https://doi.org/10.1137/S0036142900372549},
doi = {10.1137/S0036142900372549},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/SommeseVW01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/GaoLVW00,
author = {Tangan Gao and
Tien{-}Yien Li and
Jan Verschelde and
Mengnien Wu},
title = {Balancing the lifting values to improve the numerical stability of
polyhedral homotopy continuation methods},
journal = {Appl. Math. Comput.},
volume = {114},
number = {2-3},
pages = {233--247},
year = {2000},
url = {https://doi.org/10.1016/S0096-3003(99)00115-0},
doi = {10.1016/S0096-3003(99)00115-0},
timestamp = {Tue, 06 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/GaoLVW00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/em/Verschelde00,
author = {Jan Verschelde},
title = {Numerical Evidence for a Conjecture in Real Algebraic Geometry},
journal = {Exp. Math.},
volume = {9},
number = {2},
pages = {183--196},
year = {2000},
url = {https://doi.org/10.1080/10586458.2000.10504645},
doi = {10.1080/10586458.2000.10504645},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/em/Verschelde00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/SommeseV00,
author = {Andrew J. Sommese and
Jan Verschelde},
title = {Numerical Homotopies to Compute Generic Points on Positive Dimensional
Algebraic Sets},
journal = {J. Complex.},
volume = {16},
number = {3},
pages = {572--602},
year = {2000},
url = {https://doi.org/10.1006/jcom.2000.0554},
doi = {10.1006/JCOM.2000.0554},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jc/SommeseV00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/Verschelde00,
author = {Jan Verschelde},
title = {Toric Newton Method for Polynomial Homotopies},
journal = {J. Symb. Comput.},
volume = {29},
number = {4-5},
pages = {777--793},
year = {2000},
url = {https://doi.org/10.1006/jsco.1999.0296},
doi = {10.1006/JSCO.1999.0296},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsc/Verschelde00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamco/HuberV00,
author = {Birkett Huber and
Jan Verschelde},
title = {Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole
Placement in Linear Systems Control},
journal = {{SIAM} J. Control. Optim.},
volume = {38},
number = {4},
pages = {1265--1287},
year = {2000},
url = {https://doi.org/10.1137/S036301299935657X},
doi = {10.1137/S036301299935657X},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamco/HuberV00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dam/EmirisV99,
author = {Ioannis Z. Emiris and
Jan Verschelde},
title = {How to Count Efficiently all Affine Roots of a Polynomial System},
journal = {Discret. Appl. Math.},
volume = {93},
number = {1},
pages = {21--32},
year = {1999},
url = {https://doi.org/10.1016/S0166-218X(99)00003-7},
doi = {10.1016/S0166-218X(99)00003-7},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dam/EmirisV99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dcg/MichielsV99,
author = {T. Michiels and
Jan Verschelde},
title = {Enumerating Regular Mixed-Cell Configurations},
journal = {Discret. Comput. Geom.},
volume = {21},
number = {4},
pages = {569--579},
year = {1999},
url = {https://doi.org/10.1007/PL00009439},
doi = {10.1007/PL00009439},
timestamp = {Thu, 12 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dcg/MichielsV99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/Verschelde99,
author = {Jan Verschelde},
title = {Algorithm 795: PHCpack: a general-purpose solver for polynomial systems
by homotopy continuation},
journal = {{ACM} Trans. Math. Softw.},
volume = {25},
number = {2},
pages = {251--276},
year = {1999},
url = {https://doi.org/10.1145/317275.317286},
doi = {10.1145/317275.317286},
timestamp = {Wed, 14 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/toms/Verschelde99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/HuberV98,
author = {Birkett Huber and
Jan Verschelde},
title = {Polyhedral end games for polynomial continuation},
journal = {Numer. Algorithms},
volume = {18},
number = {1},
pages = {91--108},
year = {1998},
url = {https://doi.org/10.1023/A:1019163811284},
doi = {10.1023/A:1019163811284},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/HuberV98.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dcg/VerscheldeGC96,
author = {Jan Verschelde and
Karin Gatermann and
Ronald Cools},
title = {Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial
System Solving},
journal = {Discret. Comput. Geom.},
volume = {16},
number = {1},
pages = {69--112},
year = {1996},
url = {https://doi.org/10.1007/BF02711134},
doi = {10.1007/BF02711134},
timestamp = {Thu, 12 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dcg/VerscheldeGC96.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/VerscheldeH94,
author = {Jan Verschelde and
Ann Haegemans},
title = {Homotopies for Solving Polynomial Systems Within a Bounded Domain},
journal = {Theor. Comput. Sci.},
volume = {133},
number = {1},
pages = {165--185},
year = {1994},
url = {https://doi.org/10.1016/0304-3975(94)00064-6},
doi = {10.1016/0304-3975(94)00064-6},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/VerscheldeH94.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aaecc/VerscheldeC93,
author = {Jan Verschelde and
Ronald Cools},
title = {Symbolic Homotopy Construction},
journal = {Appl. Algebra Eng. Commun. Comput.},
volume = {4},
pages = {169--183},
year = {1993},
url = {https://doi.org/10.1007/BF01202036},
doi = {10.1007/BF01202036},
timestamp = {Wed, 14 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/aaecc/VerscheldeC93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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