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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
Fecha de embargo : 2025-01-18
Exportado de SIDERAL (2024-03-22-09:47:09)
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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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Fecha de embargo : 2025-01-18
Exportado de SIDERAL (2024-03-22-09:47:09)
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Record created 2024-03-22, last modified 2024-03-22