000150537 001__ 150537 000150537 005__ 20260107185712.0 000150537 0247_ $$2doi$$a10.1002/nla.2602 000150537 0248_ $$2sideral$$a142592 000150537 037__ $$aART-2025-142592 000150537 041__ $$aeng 000150537 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza 000150537 245__ $$aHigh Relative Accuracy With Collocation Matrices of q-Jacobi Polynomials 000150537 260__ $$c2025 000150537 5060_ $$aAccess copy available to the general public$$fUnrestricted 000150537 5203_ $$aLittle ‐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. 000150537 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T 000150537 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 000150537 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000150537 700__ $$0(orcid)0000-0002-4794-5875$$aOrera, Héctor$$uUniversidad de Zaragoza 000150537 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan Manuel$$uUniversidad de Zaragoza 000150537 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000150537 773__ $$g32, 1 (2025), e2602 [9 pp.]$$pNumer. linear algebra appl.$$tNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS$$x1070-5325 000150537 8564_ $$s1377097$$uhttps://zaguan.unizar.es/record/150537/files/texto_completo.pdf$$yVersión publicada 000150537 8564_ $$s2224516$$uhttps://zaguan.unizar.es/record/150537/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000150537 909CO $$ooai:zaguan.unizar.es:150537$$particulos$$pdriver 000150537 951__ $$a2026-01-07-18:55:48 000150537 980__ $$aARTICLE