150537 20260107185712.0 doi 10.1002/nla.2602 sideral 142592 ART-2025-142592 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 High Relative Accuracy With Collocation Matrices of q-Jacobi Polynomials 2025 Access copy available to the general public Unrestricted Little ‐Jacobi polynomials belong to the field of quantum calculus. This article obtains the bidiagonal decomposition of the collocation matrices of these polynomials, showing that, in many cases, it can be constructed to high relative accuracy (HRA). Then, it can be used to compute with HRA the inverses, eigenvalues, and singular values of these matrices. Numerical experiments are provided and illustrate the excellent results obtained when applying the presented methods. 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-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Orera, Héctor Universidad de Zaragoza (orcid)0000-0002-4794-5875 Peña, Juan Manuel Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 32, 1 (2025), e2602 [9 pp.] Numer. linear algebra appl. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1070-5325 1377097 http://zaguan.unizar.es/record/150537/files/texto_completo.pdf Versión publicada 2224516 http://zaguan.unizar.es/record/150537/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:150537 articulos driver 2026-01-07-18:55:48 ARTICLE