Hao, Wenrui; Zheng, Chunyue An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. (English) Zbl 1437.37111 J. Sci. Comput. 82, No. 3, Paper No. 53, 19 p. (2020). MSC: 37M20 PDFBibTeX XMLCite \textit{W. Hao} and \textit{C. Zheng}, J. Sci. Comput. 82, No. 3, Paper No. 53, 19 p. (2020; Zbl 1437.37111) Full Text: DOI arXiv
Luo, Zhongxuan; Feng, Erbao; Zhang, Jiejin A numerical realization of the conditions of Max Nöther’s residual intersection theorem. (English) Zbl 1324.65032 Appl. Math., Ser. B (Engl. Ed.) 29, No. 4, 481-502 (2014). MSC: 65D18 13D15 14Q05 65H20 65Y20 PDFBibTeX XMLCite \textit{Z. Luo} et al., Appl. Math., Ser. B (Engl. Ed.) 29, No. 4, 481--502 (2014; Zbl 1324.65032) Full Text: DOI
Beltran, Carlos; Pardo, Luis Miguel On Smale’s 17th problem: a probabilistic positive solution. (English) Zbl 1153.65048 Found. Comput. Math. 8, No. 1, 1-43 (2008). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 65H10 65H20 68Q25 68W20 58C35 PDFBibTeX XMLCite \textit{C. Beltran} and \textit{L. M. Pardo}, Found. Comput. Math. 8, No. 1, 1--43 (2008; Zbl 1153.65048) Full Text: DOI
Bates, Dan; Peterson, Chris; Sommese, Andrew J. A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. (English) Zbl 1100.65046 J. Complexity 22, No. 4, 475-489 (2006). MSC: 65H10 65H20 68W30 30C15 PDFBibTeX XMLCite \textit{D. Bates} et al., J. Complexity 22, No. 4, 475--489 (2006; Zbl 1100.65046) Full Text: DOI
Leykin, Anton; Verschelde, Jan; Zhao, Ailing Newton’s method with deflation for isolated singularities of polynomial systems. (English) Zbl 1106.65046 Theor. Comput. Sci. 359, No. 1-3, 111-122 (2006). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H10 68W30 12Y05 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{A. Leykin} et al., Theor. Comput. Sci. 359, No. 1--3, 111--122 (2006; Zbl 1106.65046) Full Text: DOI arXiv