Accurate bidiagonal decomposition of collocation matrices of weighted ¿-transformed systems

Mainar, Esmeralda (Universidad de Zaragoza) ; Peña, Juan Manuel (Universidad de Zaragoza) ; Rubio, Beatriz (Universidad de Zaragoza)

Resumen: Given a system of functions, we introduce the concept of weighted f-transformed system, which will include a very large class of useful representations in Statistics and Computer Aided Geometric Design. An accurate bidiagonal decomposition of the collocation matrices of these systems is obtained. This decomposition is used to present computational methods with high relative accuracy for solving algebraic problems with collocation matrices of weighted f-transformed systems such as the computation of eigenvalues, singular values, and the solution of some linear systems. Numerical examples illustrate the accuracy of the performed computations.

Idioma: Inglés

DOI: 10.1002/nla.2295

Año: 2020

Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 27, 3 (2020), e2295 [16 pp.]
ISSN: 1070-5325

Factor impacto JCR: 2.109 (2020)

Categ. JCR: MATHEMATICS rank: 33 / 330 = 0.1 (2020) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 67 / 265 = 0.253 (2020) - Q2 - T1

Factor impacto SCIMAGO: 1.02 - 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)