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
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
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; Li, Tien-Yien Spherical projective path tracking for homotopy continuation methods. (English) Zbl 1308.65078 Commun. Inf. Syst. 12, No. 3, 195-220 (2012). MSC: 65H20 65H04 65H10 PDFBibTeX XMLCite \textit{T. Chen} and \textit{T.-Y. Li}, Commun. Inf. Syst. 12, No. 3, 195--220 (2012; Zbl 1308.65078) Full Text: DOI
Sun, Yang; Tao, Yu-Hui; Bai, Feng-Shan Incomplete Gröbner basis as a preconditioner for polynomial systems. (English) Zbl 1165.65026 J. Comput. Appl. Math. 226, No. 1, 2-9 (2009). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 13P10 26C10 PDFBibTeX XMLCite \textit{Y. Sun} et al., J. Comput. Appl. Math. 226, No. 1, 2--9 (2009; Zbl 1165.65026) Full Text: DOI
Lee, T. L.; Li, T. Y.; Tsai, C. H. HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method. (English) Zbl 1167.65366 Computing 83, No. 2-3, 109-133 (2008). MSC: 65H20 PDFBibTeX XMLCite \textit{T. L. Lee} et al., Computing 83, No. 2--3, 109--133 (2008; Zbl 1167.65366) Full Text: DOI
Gunji, T.; Kim, S.; Fujisawa, K.; Kojima, M. PHoMpara-parallel implementation of the polyhedral homotopy continuation method for polynomial systems. (English) Zbl 1122.65048 Computing 77, No. 4, 387-411 (2006). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{T. Gunji} et al., Computing 77, No. 4, 387--411 (2006; Zbl 1122.65048) Full Text: DOI
Kim, S.; Kojima, M. Numerical stability of path tracing in polyhedral homotopy continuation methods. (English) Zbl 1061.65042 Computing 73, No. 4, 329-348 (2004). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{S. Kim} and \textit{M. Kojima}, Computing 73, No. 4, 329--348 (2004; Zbl 1061.65042) Full Text: DOI
Gunji, Takayuki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Fujisawa, Katsuki; Mizutani, Tomohiko PHoM – a polyhedral homotopy continuation method for polynomial systems. (English) Zbl 1061.65041 Computing 73, No. 1, 57-77 (2004). MSC: 65H10 65H20 12Y05 26C10 26C15 65Y15 PDFBibTeX XMLCite \textit{T. Gunji} et al., Computing 73, No. 1, 57--77 (2004; Zbl 1061.65041) Full Text: DOI
Verschelde, Jan Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. (English) Zbl 0961.65047 ACM Trans. Math. Softw. 25, No. 2, 251-276 (1999). MSC: 65H10 12Y05 26C10 30C15 65Y15 65Y20 PDFBibTeX XMLCite \textit{J. Verschelde}, ACM Trans. Math. Softw. 25, No. 2, 251--276 (1999; Zbl 0961.65047) Full Text: DOI