Accurate and efficient computations with Wronskian matrices of Bernstein and related bases

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

Resumen: In this article, we provide a bidiagonal decomposition of the Wronskian matrices of Bernstein bases of polynomials and other related bases such as the Bernstein basis of negative degree or the negative binomial basis. The mentioned bidiagonal decompositions are used to achieve algebraic computations with high relative accuracy for these Wronskian matrices. The numerical experiments illustrate the accuracy obtained using the proposed decomposition when computing inverse matrices, eigenvalues or singular values, and the solution of some related linear systems. © 2021 John Wiley & Sons Ltd.

Idioma: Inglés

DOI: 10.1002/nla.2423

Año: 2022

Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 29, 3 (2022), e2423 [18 pp.]
ISSN: 1070-5325

Factor impacto JCR: 4.3 (2022)

Categ. JCR: MATHEMATICS, APPLIED rank: 6 / 267 = 0.022 (2022) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 4 / 329 = 0.012 (2022) - Q1 - T1

Factor impacto CITESCORE: 3.4 - Mathematics (Q2)

Factor impacto SCIMAGO: 0.913 - Applied Mathematics (Q1) - Algebra and Number Theory (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-20R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00

Tipo y forma: Article (PostPrint)

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