Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix
Ballarín, Jorge (Universidad de Zaragoza) ; Delgado, Jorge (Universidad de Zaragoza) ; Peña, J. M. (Universidad de Zaragoza)
Resumen: 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.
Idioma: Inglés
DOI: 10.1002/nla.70060
Año: 2026
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 33 (2026), e70060 [14 pp.]
ISSN: 1070-5325
Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2026-02-09-14:42:29)
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Idioma: Inglés
DOI: 10.1002/nla.70060
Año: 2026
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 33 (2026), e70060 [14 pp.]
ISSN: 1070-5325
Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2026-02-09-14:42:29)
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Record created 2026-02-09, last modified 2026-02-09