Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials

Mainar, E. (Universidad de Zaragoza) ; Peña, J.M. (Universidad de Zaragoza) ; Rubio, B. (Universidad de Zaragoza)

Resumen: This paper provides an accurate method to obtain the bidiagonal factorization of Wronskian matrices of Bessel polynomials and of Laguerre polynomials. This method can be used to compute with high relative accuracy their singular values, the inverse of these matrices, as well as the solution of some related systems of linear equations. Numerical examples illustrating the theoretical results are included. © 2022 The Authors

Idioma: Inglés

DOI: 10.1016/j.laa.2022.04.004

Año: 2022

Publicado en: LINEAR ALGEBRA AND ITS APPLICATIONS 647 (2022), 31-46
ISSN: 0024-3795

Factor impacto JCR: 1.1 (2022)

Categ. JCR: MATHEMATICS rank: 101 / 329 = 0.307 (2022) - Q2 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 161 / 267 = 0.603 (2022) - Q3 - T2

Factor impacto CITESCORE: 2.2 - Mathematics (Q2)

Factor impacto SCIMAGO: 0.851 - Algebra and Number Theory (Q1) - Numerical Analysis (Q1) - Discrete Mathematics and Combinatorics (Q1) - Geometry and Topology (Q2)

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 (Published version)

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