Timme, Sascha Mixed precision path tracking for polynomial homotopy continuation. (English) Zbl 1487.65057 Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021). MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{S. Timme}, Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021; Zbl 1487.65057) Full Text: DOI arXiv
Rump, Siegfried M. Mathematically rigorous global optimization in floating-point arithmetic. (English) Zbl 1398.65093 Optim. Methods Softw. 33, No. 4-6, 771-798 (2018). MSC: 65G20 65H20 65K05 PDFBibTeX XMLCite \textit{S. M. Rump}, Optim. Methods Softw. 33, No. 4--6, 771--798 (2018; Zbl 1398.65093) Full Text: DOI
Franek, Peter; Krčál, Marek On computability and triviality of well groups. (English) Zbl 1353.65047 Discrete Comput. Geom. 56, No. 1, 126-164 (2016). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H20 65H10 55S35 55Q55 PDFBibTeX XMLCite \textit{P. Franek} and \textit{M. Krčál}, Discrete Comput. Geom. 56, No. 1, 126--164 (2016; Zbl 1353.65047) Full Text: DOI arXiv
Pan, Victor Y.; Zheng, Ai-Long New progress in real and complex polynomial root-finding. (English) Zbl 1217.65087 Comput. Math. Appl. 61, No. 5, 1305-1334 (2011). MSC: 65H04 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{A.-L. Zheng}, Comput. Math. Appl. 61, No. 5, 1305--1334 (2011; Zbl 1217.65087) 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
Day, David; Romero, Louis Roots of polynomials expressed in terms of orthogonal polynomials. (English) Zbl 1101.65048 SIAM J. Numer. Anal. 43, No. 5, 1969-1987 (2005). MSC: 65H05 65F15 65H20 PDFBibTeX XMLCite \textit{D. Day} and \textit{L. Romero}, SIAM J. Numer. Anal. 43, No. 5, 1969--1987 (2005; Zbl 1101.65048) Full Text: DOI HAL
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Numerical factorization of multivariate complex polynomials. (English) Zbl 1147.13302 Theor. Comput. Sci. 315, No. 2-3, 651-669 (2004). MSC: 13P05 14Q99 65H10 68W30 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., Theor. Comput. Sci. 315, No. 2--3, 651--669 (2004; Zbl 1147.13302) 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
Brühl, Martin A curve tracing algorithm for computing the pseudospectrum. (English) Zbl 0861.65034 BIT 36, No. 3, 441-454 (1996). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65F15 65H20 PDFBibTeX XMLCite \textit{M. Brühl}, BIT 36, No. 3, 441--454 (1996; Zbl 0861.65034) Full Text: DOI