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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
Mourrain, B.; Pan, V. Y.; Ruatta, O. Accelerated solution of multivariate polynomial systems of equations. (English) Zbl 1030.65051 SIAM J. Comput. 32, No. 2, 435-454 (2003). Reviewer: Iulian Coroian (Baia Mare) MSC: 65H10 12Y05 30C15 68W20 26C10 65F15 PDFBibTeX XMLCite \textit{B. Mourrain} et al., SIAM J. Comput. 32, No. 2, 435--454 (2003; Zbl 1030.65051) Full Text: DOI
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Symmetric functions applied to decomposing solution sets of polynomial systems. (English) Zbl 1034.65034 SIAM J. Numer. Anal. 40, No. 6, 2026-2046 (2002). MSC: 65H10 13P05 12Y05 68W30 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., SIAM J. Numer. Anal. 40, No. 6, 2026--2046 (2002; Zbl 1034.65034) Full Text: DOI
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Numerical decomposition of the solution sets of polynomial systems into irreducible components. (English) Zbl 1002.65060 SIAM J. Numer. Anal. 38, No. 6, 2022-2046 (2001). Reviewer: René Lamour (Berlin) MSC: 65H10 65H20 68W30 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., SIAM J. Numer. Anal. 38, No. 6, 2022--2046 (2001; Zbl 1002.65060) Full Text: DOI
Sommese, Andrew J.; Verschelde, Jan Numerical homotopies to compute generic points on positive dimensional algebraic sets. (English) Zbl 0982.65070 J. Complexity 16, No. 3, 572-602 (2000). Reviewer: Robert F.Lax (Baton Rouge) MSC: 65H10 14Q99 65H20 12Y05 30C15 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{J. Verschelde}, J. Complexity 16, No. 3, 572--602 (2000; Zbl 0982.65070) Full Text: DOI arXiv