118217 20240319081021.0 doi 10.1007/s11075-022-01284-0 sideral 129614 ART-2022-129614 eng Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Total positivity and accurate computations with Gram matrices of Bernstein bases 2022 Access copy available to the general public Unrestricted In this paper, an accurate method to construct the bidiagonal factorization of Gram (mass) matrices of Bernstein bases of positive and negative degree is obtained and used to compute with high relative accuracy their eigenvalues, singular values and inverses. Numerical examples are included. info:eu-repo/grantAgreement/ES/DGA/E41-20R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.1 2022 MATHEMATICS, APPLIED 59 / 267 = 0.221 2022 Q1 T1 0.828 2022 Applied Mathematics 2022 Q2 4.4 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peña, J. M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 Rubio, B. Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 91 (2022), 841–859 Numer. algorithms NUMERICAL ALGORITHMS 1017-1398 385049 http://zaguan.unizar.es/record/118217/files/texto_completo.pdf Versión publicada 1094187 http://zaguan.unizar.es/record/118217/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118217 articulos driver 2024-03-18-16:14:23 ARTICLE