149018 20250124153131.0 doi 10.1002/nla.2383 sideral 125794 ART-2021-125794 eng Delgado J. Universidad de Zaragoza (orcid)0000-0003-2156-9856 High relative accuracy with matrices of q-integers 2021 This article shows that the bidiagonal decomposition of many important matrices of q-integers can be constructed to high relative accuracy (HRA). This fact can be used to compute with HRA the eigenvalues, singular values, and inverses of these matrices. These results can be applied to collocation matrices of q-Laguerre polynomials, q-Pascal matrices, and matrices formed by q-Stirling numbers. Numerical examples illustrate the theoretical results. © 2021 John Wiley & Sons Ltd. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E41-17R 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/ 2.138 2021 MATHEMATICS 31 / 333 = 0.093 2021 Q1 T1 MATHEMATICS, APPLIED 69 / 267 = 0.258 2021 Q2 T1 0.999 2021 Applied Mathematics 2021 Q1 Algebra and Number Theory 2021 Q1 3.7 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Orera H. Universidad de Zaragoza (orcid)0000-0002-4794-5875 Peña J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 28, 5 (2021), [20 pp] Numer. linear algebra appl. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1070-5325 300627 http://zaguan.unizar.es/record/149018/files/texto_completo.pdf Postprint 2371757 http://zaguan.unizar.es/record/149018/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:149018 articulos driver 2025-01-24-14:49:06 ARTICLE