Bourne, Martin; Winkler, Joab R.; Su, Yi The computation of the greatest common divisor of three bivariate Bernstein polynomials defined in a rectangular domain. (English) Zbl 1472.65021 Appl. Numer. Math. 166, 348-368 (2021). MSC: 65D15 PDFBibTeX XMLCite \textit{M. Bourne} et al., Appl. Numer. Math. 166, 348--368 (2021; Zbl 1472.65021) Full Text: DOI
Bourne, Martin; Winkler, Joab R.; Su, Yi An approximate factorisation of three bivariate Bernstein basis polynomials defined in a triangular domain. (English) Zbl 1503.65037 J. Comput. Appl. Math. 390, Article ID 113381, 19 p. (2021). MSC: 65D17 41A10 PDFBibTeX XMLCite \textit{M. Bourne} et al., J. Comput. Appl. Math. 390, Article ID 113381, 19 p. (2021; Zbl 1503.65037) Full Text: DOI Link
Pérez-Díaz, Sonia; Shen, Li-Yong A symbolic-numeric approach for parametrizing ruled surfaces. (English) Zbl 1446.14037 J. Syst. Sci. Complex. 33, No. 3, 799-820 (2020). Reviewer: Franz Winkler (Linz) MSC: 14Q10 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} and \textit{L.-Y. Shen}, J. Syst. Sci. Complex. 33, No. 3, 799--820 (2020; Zbl 1446.14037) Full Text: DOI Link
Bourne, Martin; Winkler, Joab R.; Su, Yi The computation of the degree of the greatest common divisor of three Bernstein basis polynomials. (English) Zbl 1442.13090 J. Comput. Appl. Math. 373, Article ID 112373, 15 p. (2020). MSC: 13P15 33C45 65F99 65H14 PDFBibTeX XMLCite \textit{M. Bourne} et al., J. Comput. Appl. Math. 373, Article ID 112373, 15 p. (2020; Zbl 1442.13090) Full Text: DOI Link
Shen, Li-Yong; Pérez-Díaz, Sonia Numerical polynomial reparametrization of rational curves. (English) Zbl 1473.14112 Comput. Aided Geom. Des. 71, 90-104 (2019). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 14Q05 65D18 PDFBibTeX XMLCite \textit{L.-Y. Shen} and \textit{S. Pérez-Díaz}, Comput. Aided Geom. Des. 71, 90--104 (2019; Zbl 1473.14112) Full Text: DOI Link
Wu, Wenyuan; Zeng, Zhonggang The numerical factorization of polynomials. (English) Zbl 1454.65031 Found. Comput. Math. 17, No. 1, 259-286 (2017). MSC: 65H04 12-08 13P05 65J20 65F22 PDFBibTeX XMLCite \textit{W. Wu} and \textit{Z. Zeng}, Found. Comput. Math. 17, No. 1, 259--286 (2017; Zbl 1454.65031) Full Text: DOI arXiv
Feng, Yong; Wu, Wenyuan; Zhang, Jingzhong; Chen, Jingwei Exact bivariate polynomial factorization over \(\mathbb Q\) by approximation of roots. (English) Zbl 1328.65108 J. Syst. Sci. Complex. 28, No. 1, 243-260 (2015). MSC: 65H04 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Syst. Sci. Complex. 28, No. 1, 243--260 (2015; Zbl 1328.65108) Full Text: DOI
Shen, Li-Yong; Pérez-Díaz, Sonia Numerical proper reparametrization of parametric plane curves. (English) Zbl 1302.65049 J. Comput. Appl. Math. 277, 138-161 (2015). MSC: 65D17 PDFBibTeX XMLCite \textit{L.-Y. Shen} and \textit{S. Pérez-Díaz}, J. Comput. Appl. Math. 277, 138--161 (2015; Zbl 1302.65049) Full Text: DOI arXiv
Rueda, Sonia L.; Sendra, Juana; Sendra, J. Rafael Rational Hausdorff divisors: a new approach to the approximate parametrization of curves. (English) Zbl 1302.14049 J. Comput. Appl. Math. 263, 445-465 (2014). MSC: 14Q05 14C20 PDFBibTeX XMLCite \textit{S. L. Rueda} et al., J. Comput. Appl. Math. 263, 445--465 (2014; Zbl 1302.14049) Full Text: DOI arXiv
Feng, Yong; Qin, Xiaolin; Zhang, Jingzhong; Yuan, Xun Obtaining exact interpolation multivariate polynomial by approximation. (English) Zbl 1259.65012 J. Syst. Sci. Complex. 24, No. 4, 803-815 (2011). MSC: 65D05 41A05 68W30 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Syst. Sci. Complex. 24, No. 4, 803--815 (2011; Zbl 1259.65012) Full Text: DOI arXiv
Adrovic, Danko; Verschelde, Jan Tropical algebraic geometry in Maple: a preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients. (English) Zbl 1225.14050 J. Symb. Comput. 46, No. 7, 755-772 (2011). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14T05 14Q05 68W30 PDFBibTeX XMLCite \textit{D. Adrovic} and \textit{J. Verschelde}, J. Symb. Comput. 46, No. 7, 755--772 (2011; Zbl 1225.14050) Full Text: DOI arXiv
Galligo, André; Poteaux, Adrien Computing monodromy via continuation methods on random Riemann surfaces. (English) Zbl 1208.14056 Theor. Comput. Sci. 412, No. 16, 1492-1507 (2011). MSC: 14Q05 68W30 13P05 65P99 PDFBibTeX XMLCite \textit{A. Galligo} and \textit{A. Poteaux}, Theor. Comput. Sci. 412, No. 16, 1492--1507 (2011; Zbl 1208.14056) Full Text: DOI Link
Pérez-Díaz, Sonia; Sendra, J. Rafael; Rueda, Sonia L.; Sendra, Juana Approximate parametrization of plane algebraic curves by linear systems of curves. (English) Zbl 1225.65024 Comput. Aided Geom. Des. 27, No. 2, 212-231 (2010). Reviewer: Manuel Gräf (Chemnitz) MSC: 65D17 14Q05 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Comput. Aided Geom. Des. 27, No. 2, 212--231 (2010; Zbl 1225.65024) Full Text: DOI arXiv Link
Zeng, Zhonggang Regularization and matrix computation in numerical polynomial algebra. (English) Zbl 1191.65036 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, 125-162 (2009). MSC: 65F15 68W30 13P15 13P10 PDFBibTeX XMLCite \textit{Z. Zeng}, in: Approximate commutative algebra. Berlin: Springer. 125--162 (2009; Zbl 1191.65036) Full Text: DOI
Kaltofen, Erich; May, John P.; Yang, Zhengfeng; Zhi, Lihong Approximate factorization of multivariate polynomials using singular value decomposition. (English) Zbl 1135.12003 J. Symb. Comput. 43, No. 5, 359-376 (2008). MSC: 12Y05 68W30 PDFBibTeX XMLCite \textit{E. Kaltofen} et al., J. Symb. Comput. 43, No. 5, 359--376 (2008; Zbl 1135.12003) Full Text: DOI Link
Zhang, Jingzhong; Feng, Yong Obtaining exact value by approximate computations. (English) Zbl 1202.68494 Sci. China, Ser. A 50, No. 9, 1361-1368 (2007). MSC: 68W30 11A55 11J70 33F10 65D99 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Y. Feng}, Sci. China, Ser. A 50, No. 9, 1361--1368 (2007; Zbl 1202.68494) Full Text: DOI arXiv
Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael Distance bounds of \(\varepsilon\)-points on hypersurfaces. (English) Zbl 1099.68137 Theor. Comput. Sci. 359, No. 1-3, 344-368 (2006). MSC: 68W30 68W25 14Q10 65D18 68U05 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Theor. Comput. Sci. 359, No. 1--3, 344--368 (2006; Zbl 1099.68137) Full Text: DOI
Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael Parametrization of approximate algebraic surfaces by lines. (English) Zbl 1087.65013 Comput. Aided Geom. Des. 22, No. 2, 147-181 (2005). Reviewer: Ivana Linkeová (Praha) MSC: 65D17 14Q10 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Comput. Aided Geom. Des. 22, No. 2, 147--181 (2005; Zbl 1087.65013) Full Text: DOI
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
Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael Parametrization of approximate algebraic curves by lines. (English) Zbl 1085.68187 Theor. Comput. Sci. 315, No. 2-3, 627-650 (2004). MSC: 68W30 14Q05 65D18 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Theor. Comput. Sci. 315, No. 2--3, 627--650 (2004; Zbl 1085.68187) Full Text: DOI