High Relative Accuracy With Collocation Matrices of q$$ q $$-Jacobi Polynomials
Delgado, Jorge (Universidad de Zaragoza) ; Orera, Héctor (Universidad de Zaragoza) ; Peña, Juan Manuel (Universidad de Zaragoza)
Resumen: Little ‐Jacobi polynomials belong to the field of quantum calculus. This article obtains the bidiagonal decomposition of the collocation matrices of these polynomials, showing that, in many cases, it can be constructed to high relative accuracy (HRA). Then, it can be used to compute with HRA the inverses, eigenvalues, and singular values of these matrices. Numerical experiments are provided and illustrate the excellent results obtained when applying the presented methods.
Idioma: Inglés
DOI: 10.1002/nla.2602
Año: 2025
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 32, 1 (2025), e2602 [9 pp.]
ISSN: 1070-5325
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 (Published version)
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. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2025-10-17-14:34:20)
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Idioma: Inglés
DOI: 10.1002/nla.2602
Año: 2025
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 32, 1 (2025), e2602 [9 pp.]
ISSN: 1070-5325
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 (Published version)
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. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2025-10-17-14:34:20)
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Record created 2025-02-10, last modified 2025-10-17