133111 20260218073239.0 doi 10.1080/03081087.2024.2304686 sideral 137501 ART-2024-137501 eng (orcid)0000-0003-2156-9856 Delgado, Jorge Universidad de Zaragoza High relative accuracy for rational q-Bernstein–Vandermonde matrices 2024 Access copy available to the general public Unrestricted In this article, an accurate and efficient method to compute the eigenvalues, singular values and inverses of nonsingular totally positive rational q-Bernstein–Vandermonde matrices and the solution of some associated linear systems of equations is provided. The method is based on the representation of a totally positive matrix in terms of its bidiagonal decomposition and the use of a library of accurate functions designed for this class of matrices. © 2024 Informa UK Limited, trading as Taylor & Francis Group. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T info:eu-repo/semantics/openAccess by-nc https://creativecommons.org/licenses/by-nc/4.0/deed.es 1.0 2024 MATHEMATICS 130 / 492 = 0.264 2024 Q2 T1 0.837 2024 Algebra and Number Theory 2024 Q1 2.8 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-4794-5875 Orera, Héctor Universidad de Zaragoza (orcid)0000-0002-1340-0666 Peña, J.M. Universidad de Zaragoza 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 72, 17 (2024), 3052-3064 Linear multilinear algebra Linear and Multilinear Algebra 0308-1087 334432 http://zaguan.unizar.es/record/133111/files/texto_completo.pdf Postprint info:eu-repo/date/embargoEnd/2025-01-18 1593967 http://zaguan.unizar.es/record/133111/files/texto_completo.jpg?subformat=icon icon Postprint info:eu-repo/date/embargoEnd/2025-01-18 oai:zaguan.unizar.es:133111 articulos driver 2026-02-17-20:23:43 ARTICLE