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
Ahuja, Kapil; Watson, Layne T.; Billups, Stephen C. Probability-one homotopy maps for mixed complementarity problems. (English) Zbl 1168.90617 Comput. Optim. Appl. 41, No. 3, 363-375 (2008). MSC: 90C33 PDFBibTeX XMLCite \textit{K. Ahuja} et al., Comput. Optim. Appl. 41, No. 3, 363--375 (2008; Zbl 1168.90617) Full Text: DOI Link
Bindel, David; Demmel, James; Friedman, Mark Continuation of invariant subspaces in large bifurcation problems. (English) Zbl 1160.65065 SIAM J. Sci. Comput. 30, No. 2, 637-656 (2008). MSC: 65P30 37M20 65H20 PDFBibTeX XMLCite \textit{D. Bindel} et al., SIAM J. Sci. Comput. 30, No. 2, 637--656 (2008; Zbl 1160.65065) Full Text: DOI
Su, Hai-Jun; Mccarthy, J. Michael; Sosonkina, Masha; Watson, Layne T. Algorithm 857: POLSYS\(_-\)GLP – a parallel general linear product homotopy code for solving polynomial systems of equations. (English) Zbl 1230.65058 ACM Trans. Math. Softw. 32, No. 4, 561-579 (2006). MSC: 65H10 65H20 65Y05 PDFBibTeX XMLCite \textit{H.-J. Su} et al., ACM Trans. Math. Softw. 32, No. 4, 561--579 (2006; Zbl 1230.65058) 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
Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T. Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. (English) Zbl 1137.65353 ACM Trans. Math. Softw. 26, No. 1, 176-200 (2000). MSC: 65H20 65H10 65Y15 68W30 PDFBibTeX XMLCite \textit{S. M. Wise} et al., ACM Trans. Math. Softw. 26, No. 1, 176--200 (2000; Zbl 1137.65353) Full Text: DOI
Oettli, Michael H. A robust, parallel homotopy algorithm for the symmetric tridiagonal eigenproblem. (English) Zbl 0949.65031 SIAM J. Sci. Comput. 20, No. 3, 1016-1032 (1999). Reviewer: Mirian Vajterśic (Bratislava) MSC: 65F15 65Y05 65H20 PDFBibTeX XMLCite \textit{M. H. Oettli}, SIAM J. Sci. Comput. 20, No. 3, 1016--1032 (1999; Zbl 0949.65031) Full Text: DOI
Griffin, M. P.; Gates, K. E.; Hanson, G. R. Computer simulation of magnetic resonance spectra employing homotopy. (English) Zbl 0985.78506 Noye, John (ed.) et al., Computational techniques and applications: CTAC97. Papers from the 8th Biennial conference, Adelaide, Australia, September 29-October 1, 1997. Singapore: World Scientific. 248-256 (1998). MSC: 78M25 65H20 PDFBibTeX XMLCite \textit{M. P. Griffin} et al., in: Computational techniques and applications: CTAC97. Papers from the 8th Biennial conference, Adelaide, Australia, September 29--October 1, 1997. Singapore: World Scientific. 248--256 (1998; Zbl 0985.78506)
Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexander P.; Walker, Homer F. Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. (English) Zbl 0913.65042 ACM Trans. Math. Softw. 23, No. 4, 514-549 (1997). MSC: 65H20 65Y15 PDFBibTeX XMLCite \textit{L. T. Watson} et al., ACM Trans. Math. Softw. 23, No. 4, 514--549 (1997; Zbl 0913.65042) Full Text: DOI Link
Stetter, Hans J. Multivariate polynomial equations as matrix eigenproblems. (English) Zbl 0834.65039 Agarwal, R. P. (ed.), Contributions in numerical mathematics. Singapore: World Scientific Publishing Co. World Sci. Ser. Appl. Anal. Vol. 2, 355-371 (1993). MSC: 65H10 65F15 65H20 12Y05 30C15 PDFBibTeX XMLCite \textit{H. J. Stetter}, in: Contributions in numerical mathematics. Singapore: World Scientific Publishing Co.. 355--371 (1993; Zbl 0834.65039)
Li, Kuiyuan; Li, Tien-Yien An algorithm for symmetric tridiagonal eigenproblems: Divide and conquer with homotopy continuation. (English) Zbl 0790.65032 SIAM J. Sci. Comput. 14, No. 3, 735-751 (1993). Reviewer: L.Boubelíková (Praha) MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{K. Li} and \textit{T.-Y. Li}, SIAM J. Sci. Comput. 14, No. 3, 735--751 (1993; Zbl 0790.65032) Full Text: DOI