Accurate bidiagonal decomposition and computations with generalized Pascal matrices

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

Resumen: This paper provides an accurate method to obtain the bidiagonal factorization of many generalized Pascal matrices, which in turn can be used to compute with high relative accuracy the eigenvalues, singular values and inverses of these matrices. Numerical examples are included.

Idioma: Inglés

DOI: 10.1016/j.cam.2021.113443

Año: 2021

Publicado en: Journal of Computational and Applied Mathematics 391 (2021), 113443 [10 pp]
ISSN: 0377-0427

Factor impacto JCR: 2.872 (2021)

Categ. JCR: MATHEMATICS, APPLIED rank: 37 / 267 = 0.139 (2021) - Q1 - T1

Factor impacto CITESCORE: 5.1 - Mathematics (Q1)

Factor impacto SCIMAGO: 0.875 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

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

Tipo y forma: Article (PrePrint)

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