133456 20260217205501.0 doi 10.3390/axioms13040219 sideral 138162 ART-2024-138162 eng Khiar, Yasmina Universidad de Zaragoza (orcid)0000-0002-6497-7158 Bidiagonal Factorizations of Filbert and Lilbert Matrices 2024 Access copy available to the general public Unrestricted Extensions 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. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/DGA/S60-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 1.6 2024 MATHEMATICS, APPLIED 98 / 344 = 0.285 2024 Q2 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, Esmeralda Universidad de Zaragoza (orcid)0000-0002-1101-6230 Peña, Juan Manuel Universidad de Zaragoza (orcid)0000-0002-1340-0666 Royo-Amondarain, Eduardo Universidad de Zaragoza (orcid)0000-0003-1550-8168 Rubio, Beatriz Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 13, 4 (2024), 219 [14 pp.] Axioms Axioms 2075-1680 1375068 http://zaguan.unizar.es/record/133456/files/texto_completo.pdf Versión publicada 2060026 http://zaguan.unizar.es/record/133456/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:133456 articulos driver 2026-02-17-20:21:59 ARTICLE