High relative accuracy with some special matrices related to G and ß functions

Delgado, Jorge (Universidad de Zaragoza) ; Peña, Juan Manuel (Universidad de Zaragoza)

Resumen: For some families of totally positive matrices using Γ and functions, we provide their bidiagonal factorization. Moreover, when these functions are define dover integers, we prove that the bidiagonal factorization can be computed with high relative accuracy and so we can compute with high relative accuracy their eigenvalues,singular values,inverses and the solutions of some associated linear systems. We provide numerical examples illustrating this high relative accuracy.

Idioma: Inglés

DOI: 10.1002/nla.2494

Año: 2023

Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 30, 5 (2023), e2494 [14 pp.]
ISSN: 1070-5325

Factor impacto JCR: 1.8 (2023)

Categ. JCR: MATHEMATICS, APPLIED rank: 75 / 332 = 0.226 (2023) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 39 / 490 = 0.08 (2023) - Q1 - T1

Factor impacto CITESCORE: 3.4 - Algebra and Number Theory (Q1) - Applied Mathematics (Q2)

Factor impacto SCIMAGO: 0.932 - Applied Mathematics (Q1) - Algebra and Number Theory (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-17R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)