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
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
Bourne, Martin; Winkler, Joab; Su, Yi The computation of multiple roots of a Bernstein basis polynomial. (English) Zbl 1431.65064 SIAM J. Sci. Comput. 42, No. 1, A452-A476 (2020). MSC: 65H04 12-08 PDFBibTeX XMLCite \textit{M. Bourne} et al., SIAM J. Sci. Comput. 42, No. 1, A452--A476 (2020; Zbl 1431.65064) Full Text: DOI
Bourne, Martin; Winkler, Joab R.; Yi, Su The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials. (English) Zbl 1353.65014 Appl. Numer. Math. 111, 17-35 (2017). MSC: 13P15 33C45 65F99 PDFBibTeX XMLCite \textit{M. Bourne} et al., Appl. Numer. Math. 111, 17--35 (2017; Zbl 1353.65014) Full Text: DOI Link
Winkler, Joab R. Polynomial computations for blind image deconvolution. (English) Zbl 1357.68285 Linear Algebra Appl. 502, 77-103 (2016). MSC: 68U10 94A08 PDFBibTeX XMLCite \textit{J. R. Winkler}, Linear Algebra Appl. 502, 77--103 (2016; Zbl 1357.68285) Full Text: DOI
Winkler, Joab R. The Sylvester resultant matrix and image deblurring. (English) Zbl 1360.65078 Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 8th international conference, Paris, France, June 12–18, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-22803-7/pbk; 978-3-319-22804-4/ebook). Lecture Notes in Computer Science 9213, 461-490 (2015). MSC: 65D18 PDFBibTeX XMLCite \textit{J. R. Winkler}, Lect. Notes Comput. Sci. 9213, 461--490 (2015; Zbl 1360.65078) Full Text: DOI Link
Winkler, Joab R.; Hasan, Madina; Lao, Xin Two methods for the calculation of the degree of an approximate greatest common divisor of two inexact polynomials. (English) Zbl 1261.12001 Calcolo 49, No. 4, 241-267 (2012). MSC: 12D10 12Y05 65F99 PDFBibTeX XMLCite \textit{J. R. Winkler} et al., Calcolo 49, No. 4, 241--267 (2012; Zbl 1261.12001) Full Text: DOI
Winkler, Joab R.; Lao, Xin; Hasan, Madina The computation of multiple roots of a polynomial. (English) Zbl 1243.65050 J. Comput. Appl. Math. 236, No. 14, 3478-3497 (2012). MSC: 65H04 12Y05 26C10 PDFBibTeX XMLCite \textit{J. R. Winkler} et al., J. Comput. Appl. Math. 236, No. 14, 3478--3497 (2012; Zbl 1243.65050) Full Text: DOI
Winkler, Joab R.; Lao, Xin The calculation of the degree of an approximate greatest common divisor of two polynomials. (English) Zbl 1246.65062 J. Comput. Appl. Math. 235, No. 6, 1587-1603 (2011). MSC: 65F15 12Y05 26C05 PDFBibTeX XMLCite \textit{J. R. Winkler} and \textit{X. Lao}, J. Comput. Appl. Math. 235, No. 6, 1587--1603 (2011; Zbl 1246.65062) Full Text: DOI
Winkler, Joab R.; Hasan, Madina A non-linear structure preserving matrix method for the low rank approximation of the Sylvester resultant matrix. (English) Zbl 1196.65083 J. Comput. Appl. Math. 234, No. 12, 3226-3242 (2010). MSC: 65F30 15A24 15A60 12E05 PDFBibTeX XMLCite \textit{J. R. Winkler} and \textit{M. Hasan}, J. Comput. Appl. Math. 234, No. 12, 3226--3242 (2010; Zbl 1196.65083) Full Text: DOI
Winkler, Joab R.; Allan, John D. Structured total least norm and approximate GCDs of inexact polynomials. (English) Zbl 1136.65049 J. Comput. Appl. Math. 215, No. 1, 1-13 (2008). MSC: 65H05 11A05 11C08 PDFBibTeX XMLCite \textit{J. R. Winkler} and \textit{J. D. Allan}, J. Comput. Appl. Math. 215, No. 1, 1--13 (2008; Zbl 1136.65049) Full Text: DOI