000133456 001__ 133456 000133456 005__ 20240416133904.0 000133456 0247_ $$2doi$$a10.3390/axioms13040219 000133456 0248_ $$2sideral$$a138162 000133456 037__ $$aART-2024-138162 000133456 041__ $$aeng 000133456 100__ $$0(orcid)0000-0002-6497-7158$$aKhiar, Yasmina$$uUniversidad de Zaragoza 000133456 245__ $$aBidiagonal Factorizations of Filbert and Lilbert Matrices 000133456 260__ $$c2024 000133456 5060_ $$aAccess copy available to the general public$$fUnrestricted 000133456 5203_ $$aExtensions of Filbert and Lilbert matrices are addressed in this work. They are reciprocal Hankel matrices based on Fibonacci and Lucas numbers, respectively, and both are related to Hilbert matrices. The Neville elimination is applied to provide explicit expressions for their bidiagonal factorization. As a byproduct, formulae for the determinants of these matrices are obtained. Finally, numerical experiments show that several algebraic problems involving these matrices can be solved with outstanding accuracy, in contrast with traditional approaches. 000133456 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/DGA/S60-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T 000133456 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000133456 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000133456 700__ $$0(orcid)0000-0002-1101-6230$$aMainar, Esmeralda$$uUniversidad de Zaragoza 000133456 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan Manuel$$uUniversidad de Zaragoza 000133456 700__ $$0(orcid)0000-0003-1550-8168$$aRoyo-Amondarain, Eduardo$$uUniversidad de Zaragoza 000133456 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, Beatriz$$uUniversidad de Zaragoza 000133456 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000133456 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática 000133456 773__ $$g13, 4 (2024), 219 [14 pp.]$$pAxioms$$tAxioms$$x2075-1680 000133456 8564_ $$s1375068$$uhttps://zaguan.unizar.es/record/133456/files/texto_completo.pdf$$yVersión publicada 000133456 8564_ $$s2060026$$uhttps://zaguan.unizar.es/record/133456/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000133456 909CO $$ooai:zaguan.unizar.es:133456$$particulos$$pdriver 000133456 951__ $$a2024-04-16-13:15:48 000133456 980__ $$aARTICLE