000149018 001__ 149018 000149018 005__ 20250124153131.0 000149018 0247_ $$2doi$$a10.1002/nla.2383 000149018 0248_ $$2sideral$$a125794 000149018 037__ $$aART-2021-125794 000149018 041__ $$aeng 000149018 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado J.$$uUniversidad de Zaragoza 000149018 245__ $$aHigh relative accuracy with matrices of q-integers 000149018 260__ $$c2021 000149018 5060_ $$aAccess copy available to the general public$$fUnrestricted 000149018 5203_ $$aThis 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. 000149018 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 000149018 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000149018 590__ $$a2.138$$b2021 000149018 591__ $$aMATHEMATICS$$b31 / 333 = 0.093$$c2021$$dQ1$$eT1 000149018 591__ $$aMATHEMATICS, APPLIED$$b69 / 267 = 0.258$$c2021$$dQ2$$eT1 000149018 592__ $$a0.999$$b2021 000149018 593__ $$aApplied Mathematics$$c2021$$dQ1 000149018 593__ $$aAlgebra and Number Theory$$c2021$$dQ1 000149018 594__ $$a3.7$$b2021 000149018 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000149018 700__ $$0(orcid)0000-0002-4794-5875$$aOrera H.$$uUniversidad de Zaragoza 000149018 700__ $$0(orcid)0000-0002-1340-0666$$aPeña J.M.$$uUniversidad de Zaragoza 000149018 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000149018 773__ $$g28, 5 (2021), [20 pp]$$pNumer. linear algebra appl.$$tNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS$$x1070-5325 000149018 8564_ $$s300627$$uhttps://zaguan.unizar.es/record/149018/files/texto_completo.pdf$$yPostprint 000149018 8564_ $$s2371757$$uhttps://zaguan.unizar.es/record/149018/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000149018 909CO $$ooai:zaguan.unizar.es:149018$$particulos$$pdriver 000149018 951__ $$a2025-01-24-14:49:06 000149018 980__ $$aARTICLE