Accurate computations with Wronskian matrices

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

Resumen: In this paper we provide algorithms for computing the bidiagonal decomposition of the Wronskian matrices of the monomial basis of polynomials and of the basis of exponential polynomials. It is also shown that these algorithms can be used to perform accurately some algebraic computations with these Wronskian matrices, such as the calculation of their inverses, their eigenvalues or their singular values and the solutions of some linear systems. Numerical experiments illustrate the results.

Idioma: Inglés

DOI: 10.1007/s10092-020-00392-4

Año: 2021

Publicado en: CALCOLO 58, 1 (2021), 1 [15 pp]
ISSN: 0008-0624

Factor impacto JCR: 2.097 (2021)

Categ. JCR: MATHEMATICS rank: 32 / 333 = 0.096 (2021) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 71 / 267 = 0.266 (2021) - Q2 - T1

Factor impacto CITESCORE: 3.4 - Mathematics (Q1)

Factor impacto SCIMAGO: 0.96 - Computational Mathematics (Q1) - Algebra and Number Theory (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/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)