Accurate Algorithms for Bessel Matrices

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

Resumen: In this paper, we prove that any collocation matrix of Bessel polynomials at positive points is strictly totally positive, that is, all its minors are positive. Moreover, an accurate method to construct the bidiagonal factorization of these matrices is obtained and used to compute with high relative accuracy the eigenvalues, singular values and inverses. Similar results for the collocation matrices for the reverse Bessel polynomials are also obtained. Numerical examples illustrating the theoretical results are included. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Idioma: Inglés

DOI: 10.1007/s10915-019-00975-6

Año: 2019

Publicado en: Journal of Scientific Computing 80, 2 (2019), 1264–1278
ISSN: 0885-7474

Factor impacto JCR: 2.228 (2019)

Categ. JCR: MATHEMATICS, APPLIED rank: 34 / 260 = 0.131 (2019) - Q1 - T1

Factor impacto SCIMAGO: 1.531 - Applied Mathematics (Q1) - Computational Mathematics (Q1) - Computational Theory and Mathematics (Q1) - Theoretical Computer Science (Q1) - Numerical Analysis (Q1) - Software (Q1) - Engineering (miscellaneous) (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: Article (PostPrint)

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