Duff, T.; Telen, S.; Walker, E.; Yahl, T. Polyhedral homotopies in Cox coordinates. (English) Zbl 07793928 J. Algebra Appl. 23, No. 4, Article ID 2450073, 35 p. (2024). MSC: 13P15 14M25 68W30 PDFBibTeX XMLCite \textit{T. Duff} et al., J. Algebra Appl. 23, No. 4, Article ID 2450073, 35 p. (2024; Zbl 07793928) Full Text: DOI arXiv
Duff, Timothy; Leykin, Anton; Rodriguez, Jose Israel \(u\)-generation: solving systems of polynomials equation-by-equation. (English) Zbl 07792401 Numer. Algorithms 95, No. 2, 813-838 (2024). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H20 65H10 14Q65 68W30 PDFBibTeX XMLCite \textit{T. Duff} et al., Numer. Algorithms 95, No. 2, 813--838 (2024; Zbl 07792401) Full Text: DOI arXiv
Ergür, Alperen A.; de Wolff, Timo A polyhedral homotopy algorithm for real zeros. (English) Zbl 1520.14109 Arnold Math. J. 9, No. 3, 305-338 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14P05 14P25 68R05 52B11 65D99 65Y20 PDFBibTeX XMLCite \textit{A. A. Ergür} and \textit{T. de Wolff}, Arnold Math. J. 9, No. 3, 305--338 (2023; Zbl 1520.14109) Full Text: DOI arXiv
Burr, M.; Sottile, F.; Walker, E. Numerical homotopies from Khovanskii bases. (English) Zbl 1519.14047 Math. Comput. 92, No. 343, 2333-2353 (2023). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 14M25 68W30 65H10 65H20 PDFBibTeX XMLCite \textit{M. Burr} et al., Math. Comput. 92, No. 343, 2333--2353 (2023; Zbl 1519.14047) Full Text: DOI arXiv
Wei, Xiaoqi; Wei, Guo-Wei Homotopy continuation for the spectra of persistent Laplacians. (English) Zbl 1494.55011 Found. Data Sci. 3, No. 4, 677-700 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 55U10 65H14 PDFBibTeX XMLCite \textit{X. Wei} and \textit{G.-W. Wei}, Found. Data Sci. 3, No. 4, 677--700 (2021; Zbl 1494.55011) Full Text: DOI
Chen, Tianran Unmixing the mixed volume computation. (English) Zbl 1417.52021 Discrete Comput. Geom. 62, No. 1, 55-86 (2019). MSC: 52B55 65H10 65H20 52A39 PDFBibTeX XMLCite \textit{T. Chen}, Discrete Comput. Geom. 62, No. 1, 55--86 (2019; Zbl 1417.52021) Full Text: DOI arXiv
Leykin, Anton; Yu, Josephine Beyond polyhedral homotopies. (English) Zbl 1435.14053 J. Symb. Comput. 91, 173-180 (2019). MSC: 14Q15 14T15 65H20 65H14 PDFBibTeX XMLCite \textit{A. Leykin} and \textit{J. Yu}, J. Symb. Comput. 91, 173--180 (2019; Zbl 1435.14053) Full Text: DOI arXiv
Verschelde, Jan A blackbox polynomial system solver on parallel shared memory computers. (English) Zbl 1453.65469 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 20th international workshop, CASC 2018, Lille, France, September 17–21, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11077, 361-375 (2018). MSC: 65Y10 13P05 26C99 68W30 PDFBibTeX XMLCite \textit{J. Verschelde}, Lect. Notes Comput. Sci. 11077, 361--375 (2018; Zbl 1453.65469) Full Text: DOI arXiv
Leykin, Anton Homotopy continuation in Macaulay2. (English) Zbl 1395.13028 Davenport, James H. (ed.) et al., Mathematical software – ICMS 2018. 6th international conference, South Bend, IN, USA, July 24–27, 2018. Proceedings. Cham: Springer (ISBN 978-3-319-96417-1/pbk; 978-3-319-96418-8/ebook). Lecture Notes in Computer Science 10931, 328-334 (2018). MSC: 13P10 14Qxx 65H10 PDFBibTeX XMLCite \textit{A. Leykin}, Lect. Notes Comput. Sci. 10931, 328--334 (2018; Zbl 1395.13028) Full Text: DOI
Chen, Tianran; Mehta, Dhagash Parallel degree computation for binomial systems. (English) Zbl 1357.65063 J. Symb. Comput. 79, Part 3, 535-558 (2017). MSC: 65H20 13P15 65Y10 PDFBibTeX XMLCite \textit{T. Chen} and \textit{D. Mehta}, J. Symb. Comput. 79, Part 3, 535--558 (2017; Zbl 1357.65063) Full Text: DOI
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien Mixed cell computation in HOM4ps. (English) Zbl 1365.13047 J. Symb. Comput. 79, Part 3, 516-534 (2017). Reviewer: Thomas Kahle (Magdeburg) MSC: 13P15 68W10 52B55 65Y05 65Y20 05C85 14Q99 PDFBibTeX XMLCite \textit{T. Chen} et al., J. Symb. Comput. 79, Part 3, 516--534 (2017; Zbl 1365.13047) Full Text: DOI
Hauenstein, Jonathan D. (ed.); Sommese, Andrew J. (ed.) Foreword. What is numerical algebraic geometry? (English) Zbl 1360.00098 J. Symb. Comput. 79, Part 3, 499-507 (2017). MSC: 00B15 14-06 65-06 14Q99 65H10 68W30 PDFBibTeX XMLCite \textit{J. D. Hauenstein} (ed.) and \textit{A. J. Sommese} (ed.), J. Symb. Comput. 79, Part 3, 499--507 (2017; Zbl 1360.00098) Full Text: DOI
Chen, Tianran; Li, Tien-Yien Homotopy continuation method for solving systems of nonlinear and polynomial equations. (English) Zbl 1337.65044 Commun. Inf. Syst. 15, No. 2, 119-307 (2015). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H20 65Y05 65H04 12Y05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{T.-Y. Li}, Commun. Inf. Syst. 15, No. 2, 119--307 (2015; Zbl 1337.65044) Full Text: DOI
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien Hom4PS-3: a parallel numerical solver for systems of polynomial equations based on polyhedral homotopy continuation methods. (English) Zbl 1434.65065 Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8592, 183-190 (2014). MSC: 65H04 65Y05 PDFBibTeX XMLCite \textit{T. Chen} et al., Lect. Notes Comput. Sci. 8592, 183--190 (2014; Zbl 1434.65065) Full Text: DOI