168512 20260209162330.0 doi 10.1002/nla.70060 sideral 147973 ART-2026-147973 eng Ballarín, Jorge Universidad de Zaragoza Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix 2026 Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived. We include numerical experiments showing the accuracy of our method. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Peña, J. M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 33 (2026), e70060 [14 pp.] Numer. linear algebra appl. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1070-5325 879380 http://zaguan.unizar.es/record/168512/files/texto_completo.pdf Versión publicada 2222144 http://zaguan.unizar.es/record/168512/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:168512 articulos driver 2026-02-09-14:42:29 ARTICLE