High relative accuracy for rational q-Bernstein–Vandermonde matrices

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

Resumen: In this article, an accurate and efficient method to compute the eigenvalues, singular values and inverses of nonsingular totally positive rational q-Bernstein–Vandermonde matrices and the solution of some associated linear systems of equations is provided. The method is based on the representation of a totally positive matrix in terms of its bidiagonal decomposition and the use of a library of accurate functions designed for this class of matrices. © 2024 Informa UK Limited, trading as Taylor & Francis Group.

Idioma: Inglés

DOI: 10.1080/03081087.2024.2304686

Año: 2024

Publicado en: Linear and Multilinear Algebra (2024), [13 pp.]
ISSN: 0308-1087

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T

Tipo y forma: Article (PostPrint)

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