Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials

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

Resumen: In this paper an accurate method to construct the bidiagonal factorization of collocation and Wronskian matrices of Jacobi polynomials is obtained and used to compute with high relative accuracy their eigenvalues, singular values and inverses. The particular cases of collocation and Wronskian matrices of Legendre polynomials, Gegenbauer polynomials, Chebyshev polynomials of the first and second kind and rational Jacobi polynomials are considered. Numerical examples are included. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Idioma: Inglés

DOI: 10.1007/s10915-021-01500-4

Año: 2021

Publicado en: Journal of Scientific Computing 87, 3 (2021), 77 [30 pp]
ISSN: 0885-7474

Factor impacto JCR: 2.843 (2021)

Categ. JCR: MATHEMATICS, APPLIED rank: 38 / 267 = 0.142 (2021) - Q1 - T1

Factor impacto CITESCORE: 4.3 - Mathematics (Q1) - Engineering (Q2) - Computer Science (Q2)

Factor impacto SCIMAGO: 1.326 - Applied Mathematics (Q1) - Engineering (miscellaneous) (Q1) - Software (Q1) - Numerical Analysis (Q1) - Computational Mathematics (Q1)

Tipo y forma: Artículo (PrePrint)

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