Antolín-Camarena, Omar; Gritschacher, Simon Philipp; Villarreal, Bernardo Classifying spaces for commutativity of low-dimensional Lie groups. (English) Zbl 1484.55014 Math. Proc. Camb. Philos. Soc. 169, No. 3, 433-478 (2020). Reviewer: Mentor Stafa (New Orleans) MSC: 55R40 22E99 55R20 PDFBibTeX XMLCite \textit{O. Antolín-Camarena} et al., Math. Proc. Camb. Philos. Soc. 169, No. 3, 433--478 (2020; Zbl 1484.55014) Full Text: DOI arXiv
Bliss, Nathan; Verschelde, Jan The method of Gauss-Newton to compute power series solutions of polynomial homotopies. (English) Zbl 1418.65068 Linear Algebra Appl. 542, 569-588 (2018). MSC: 65H10 PDFBibTeX XMLCite \textit{N. Bliss} and \textit{J. Verschelde}, Linear Algebra Appl. 542, 569--588 (2018; Zbl 1418.65068) Full Text: DOI arXiv
Lin, Ling; Weigand, Timo \(G_{4}\)-flux and standard model vacua in F-theory. (English) Zbl 1349.81159 Nucl. Phys., B 913, 209-247 (2016). MSC: 81T30 81V22 14D06 14M25 14F42 81T50 PDFBibTeX XMLCite \textit{L. Lin} and \textit{T. Weigand}, Nucl. Phys., B 913, 209--247 (2016; Zbl 1349.81159) Full Text: DOI arXiv
Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W. Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. (English) Zbl 1410.65205 Appl. Math. Comput. 231, 619-633 (2014). MSC: 65H20 14Q15 68W30 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Appl. Math. Comput. 231, 619--633 (2014; Zbl 1410.65205) Full Text: DOI
AL Rashed, Shawki; Pfister, Gerhard Numerical decomposition of affine algebraic varieties. (English) Zbl 1469.14115 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 22, No. 2, 193-215 (2014). MSC: 14Q15 13P10 PDFBibTeX XMLCite \textit{S. AL Rashed} and \textit{G. Pfister}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 22, No. 2, 193--215 (2014; Zbl 1469.14115) Full Text: arXiv
Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. Recovering exact results from inexact numerical data in algebraic geometry. (English) Zbl 1284.14084 Exp. Math. 22, No. 1, 38-50 (2013). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Q99 65H10 68W30 13P99 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Exp. Math. 22, No. 1, 38--50 (2013; Zbl 1284.14084) Full Text: DOI
Bates, Daniel J.; Eklund, David; Peterson, Chris Computing intersection numbers of Chern classes. (English) Zbl 1263.14005 J. Symb. Comput. 50, 493-507 (2013). Reviewer: Susan Marie Cooper (Mount Pleasant) MSC: 14-04 14C17 14M06 13P10 PDFBibTeX XMLCite \textit{D. J. Bates} et al., J. Symb. Comput. 50, 493--507 (2013; Zbl 1263.14005) Full Text: DOI
Davies, Rhys The expanding zoo of Calabi-Yau threefolds. (English) Zbl 1234.81110 Adv. High Energy Phys. 2011, Article ID 901898, 18 p. (2011). MSC: 81T30 14J32 14F35 81-02 PDFBibTeX XMLCite \textit{R. Davies}, Adv. High Energy Phys. 2011, Article ID 901898, 18 p. (2011; Zbl 1234.81110) Full Text: DOI arXiv Backlinks: MO
Bates, Daniel J.; Sottile, Frank Khovanskii-Rolle continuation for real solutions. (English) Zbl 1231.14047 Found. Comput. Math. 11, No. 5, 563-587 (2011). MSC: 14P05 14Q99 65H10 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} and \textit{F. Sottile}, Found. Comput. Math. 11, No. 5, 563--587 (2011; Zbl 1231.14047) Full Text: DOI arXiv
Di Rocco, Sandra; Eklund, David; Peterson, Chris; Sommese, Andrew J. Chern numbers of smooth varieties via homotopy continuation and intersection theory. (English) Zbl 1200.14014 J. Symb. Comput. 46, No. 1, 23-33 (2011). MSC: 14C15 14C17 14M07 PDFBibTeX XMLCite \textit{S. Di Rocco} et al., J. Symb. Comput. 46, No. 1, 23--33 (2011; Zbl 1200.14014) Full Text: DOI arXiv
Cheng, Jinsan; Lazard, Sylvain; Peñaranda, Luis; Pouget, Marc; Rouillier, Fabrice On the topology of real algebraic plane curves. (English) Zbl 1205.14038 Math. Comput. Sci. 4, No. 1, 113-137 (2010). MSC: 14H50 14P05 13P10 14F35 PDFBibTeX XMLCite \textit{J. Cheng} et al., Math. Comput. Sci. 4, No. 1, 113--137 (2010; Zbl 1205.14038) Full Text: DOI Link
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. A numerical local dimension test for points on the solution set of a system of polynomial equations. (English) Zbl 1211.14066 SIAM J. Numer. Anal. 47, No. 5, 3608-3623 (2009). Reviewer: Josef Schicho (Linz) MSC: 14Q99 65H10 68W30 PDFBibTeX XMLCite \textit{D. J. Bates} et al., SIAM J. Numer. Anal. 47, No. 5, 3608--3623 (2009; Zbl 1211.14066) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. (English) Zbl 1191.14071 Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 55-77 (2009). MSC: 14Q15 14M15 13Pxx 15A54 65H10 PDFBibTeX XMLCite \textit{D. J. Bates} et al., in: Approximate commutative algebra. Berlin: Springer. 55--77 (2009; Zbl 1191.14071) 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
Sommese, Andrew J.; Wampler, Charles W. II The numerical solution of systems of polynomials. Arising in engineering and science. (English) Zbl 1091.65049 River Edge, NJ: World Scientific (ISBN 981-256-184-6/hbk; 978-981-256-772-7/ebook). xxii, 401 p. (2005). Reviewer: Zhen Mei (Toronto) MSC: 65H10 12Y05 26C10 30C15 14Q15 13P10 65H20 65-02 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{C. W. Wampler II}, The numerical solution of systems of polynomials. Arising in engineering and science. River Edge, NJ: World Scientific (2005; Zbl 1091.65049) Full Text: DOI Link
Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Augustín, José Ignacio Essential coordinate components of characteristic varieties. (English) Zbl 1061.14022 Math. Proc. Camb. Philos. Soc. 136, No. 2, 287-299 (2004). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 14H30 14F35 14E20 PDFBibTeX XMLCite \textit{E. Artal Bartolo} et al., Math. Proc. Camb. Philos. Soc. 136, No. 2, 287--299 (2004; Zbl 1061.14022) Full Text: DOI arXiv
Datta, Ruchira S. Using computer algebra to find Nash equilibria. (English) Zbl 1072.68659 Sendra, J. Rafael (ed.), ISSAC 2003. Proceedings of the 2003 international symposium on symbolic and algebraic computation, Philadelphia, PA, USA, August 3–6, 2003. New York, NY: ACM Press (ISBN 1-58113-641-2/pbk). 74-79 (2003). MSC: 68W30 91A99 PDFBibTeX XMLCite \textit{R. S. Datta}, in: Proceedings of the 2003 international symposium on symbolic and algebraic computation, ISSAC 2003, Philadelphia, PA, USA, August 3--6, 2003. New York, NY: ACM Press. 74--79 (2003; Zbl 1072.68659)