Verschelde, Jan; Viswanathan, Kylash Locating the closest singularity in a polynomial homotopy. (English) Zbl 1507.14084 Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 333-352 (2022). MSC: 14Q65 68W30 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{K. Viswanathan}, Lect. Notes Comput. Sci. 13366, 333--352 (2022; Zbl 1507.14084) Full Text: DOI arXiv
Leykin, Anton; Del Campo, Abraham Martín; Sottile, Frank; Vakil, Ravi; Verschelde, Jan Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. (English) Zbl 1468.14093 Math. Comput. 90, No. 329, 1407-1433 (2021). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14N15 65H10 14Q65 PDFBibTeX XMLCite \textit{A. Leykin} et al., Math. Comput. 90, No. 329, 1407--1433 (2021; Zbl 1468.14093) Full Text: DOI arXiv
Bliss, Nathan; Verschelde, Jan The method of Gauss-Newton to compute power series solutions of polynomial homotopies. (English) Zbl 1418.65068 Linear Algebra Appl. 542, 569-588 (2018). MSC: 65H10 PDFBibTeX XMLCite \textit{N. Bliss} and \textit{J. Verschelde}, Linear Algebra Appl. 542, 569--588 (2018; Zbl 1418.65068) Full Text: DOI arXiv
Bliss, Nathan; Verschelde, Jan Computing all space curve solutions of polynomial systems by polyhedral methods. (English) Zbl 1453.13084 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 73-86 (2016). MSC: 13P15 14M25 14T15 65H10 65H20 68W30 PDFBibTeX XMLCite \textit{N. Bliss} and \textit{J. Verschelde}, Lect. Notes Comput. Sci. 9890, 73--86 (2016; Zbl 1453.13084) Full Text: DOI arXiv
Verschelde, Jan; Yu, Xiangcheng Polynomial homotopy continuation on GPUs. (English) Zbl 1365.65149 ACM Commun. Comput. Algebra 49, No. 4, 130-133 (2015). MSC: 65H20 65Y10 65Y15 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{X. Yu}, ACM Commun. Comput. Algebra 49, No. 4, 130--133 (2015; Zbl 1365.65149) Full Text: DOI
Bliss, Nathan; Sommars, Jeff; Verschelde, Jan; Yu, Xiangcheng Solving polynomial systems in the cloud with polynomial homotopy continuation. (English) Zbl 1439.13078 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 87-100 (2015). MSC: 13P15 13-04 65H14 14Q65 68W30 65H10 PDFBibTeX XMLCite \textit{N. Bliss} et al., Lect. Notes Comput. Sci. 9301, 87--100 (2015; Zbl 1439.13078) Full Text: DOI arXiv