121077 20240319080950.0 doi 10.1002/nla.2423 sideral 126927 ART-2022-126927 eng Mainar, Esmeralda Universidad de Zaragoza (orcid)0000-0002-1101-6230 Accurate and efficient computations with Wronskian matrices of Bernstein and related bases 2022 Access copy available to the general public Unrestricted In this article, we provide a bidiagonal decomposition of the Wronskian matrices of Bernstein bases of polynomials and other related bases such as the Bernstein basis of negative degree or the negative binomial basis. The mentioned bidiagonal decompositions are used to achieve algebraic computations with high relative accuracy for these Wronskian matrices. The numerical experiments illustrate the accuracy obtained using the proposed decomposition when computing inverse matrices, eigenvalues or singular values, and the solution of some related linear systems. © 2021 John Wiley & Sons Ltd. info:eu-repo/grantAgreement/ES/DGA/E41-20R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 4.3 2022 MATHEMATICS, APPLIED 6 / 267 = 0.022 2022 Q1 T1 MATHEMATICS 4 / 329 = 0.012 2022 Q1 T1 0.913 2022 Applied Mathematics 2022 Q1 Algebra and Number Theory 2022 Q1 3.4 2022 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Peña, Juan M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 Rubio, Beatriz Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 29, 3 (2022), e2423 [18 pp.] Numer. linear algebra appl. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1070-5325 582677 http://zaguan.unizar.es/record/121077/files/texto_completo.pdf Postprint 1489844 http://zaguan.unizar.es/record/121077/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:121077 articulos driver 2024-03-18-12:58:53 ARTICLE