High relative accuracy with matrices of q-integers

Delgado J. (Universidad de Zaragoza) ; Orera H. (Universidad de Zaragoza) ; Peña J.M. (Universidad de Zaragoza)

Resumen: This article shows that the bidiagonal decomposition of many important matrices of q-integers can be constructed to high relative accuracy (HRA). This fact can be used to compute with HRA the eigenvalues, singular values, and inverses of these matrices. These results can be applied to collocation matrices of q-Laguerre polynomials, q-Pascal matrices, and matrices formed by q-Stirling numbers. Numerical examples illustrate the theoretical results. © 2021 John Wiley & Sons Ltd.

Idioma: Inglés

DOI: 10.1002/nla.2383

Año: 2021

Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 28, 5 (2021), [20 pp]
ISSN: 1070-5325

Factor impacto JCR: 2.138 (2021)

Categ. JCR: MATHEMATICS rank: 31 / 333 = 0.093 (2021) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 69 / 267 = 0.258 (2021) - Q2 - T1

Factor impacto CITESCORE: 3.7 - Mathematics (Q1)

Factor impacto SCIMAGO: 0.999 - 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)