000133111 001__ 133111 000133111 005__ 20250924073428.0 000133111 0247_ $$2doi$$a10.1080/03081087.2024.2304686 000133111 0248_ $$2sideral$$a137501 000133111 037__ $$aART-2024-137501 000133111 041__ $$aeng 000133111 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza 000133111 245__ $$aHigh relative accuracy for rational q-Bernstein–Vandermonde matrices 000133111 260__ $$c2024 000133111 5060_ $$aAccess copy available to the general public$$fUnrestricted 000133111 5203_ $$aIn 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. 000133111 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T 000133111 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/ 000133111 590__ $$a1.0$$b2024 000133111 592__ $$a0.837$$b2024 000133111 591__ $$aMATHEMATICS$$b129 / 483 = 0.267$$c2024$$dQ2$$eT1 000133111 593__ $$aAlgebra and Number Theory$$c2024$$dQ1 000133111 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000133111 700__ $$0(orcid)0000-0002-4794-5875$$aOrera, Héctor$$uUniversidad de Zaragoza 000133111 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J.M.$$uUniversidad de Zaragoza 000133111 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000133111 773__ $$g72, 17 (2024), 3052-3064$$pLinear multilinear algebra$$tLinear and Multilinear Algebra$$x0308-1087 000133111 8564_ $$s334432$$uhttps://zaguan.unizar.es/record/133111/files/texto_completo.pdf$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2025-01-18 000133111 8564_ $$s1593967$$uhttps://zaguan.unizar.es/record/133111/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2025-01-18 000133111 909CO $$ooai:zaguan.unizar.es:133111$$particulos$$pdriver 000133111 951__ $$a2025-09-22-14:31:31 000133111 980__ $$aARTICLE