Total positivity and high relative accuracy for several classes of Hankel matrices
Mainar, E. (Universidad de Zaragoza) ; Peña, J. M. (Universidad de Zaragoza) ; Rubio, B. (Universidad de Zaragoza)
Resumen: Gramian matrices with respect to inner products defined for Hilbert spaces supported on bounded and unbounded intervals are represented through a bidiagonal factorization. It is proved that the considered matrices are strictly totally positive Hankel matrices and their catalecticant determinants are also calculated. Using the proposed representation, the numerical resolution of linear algebra problems with these matrices can be achieved to high relative accuracy. Numerical experiments are provided, and they illustrate the excellent results obtained when applying the theoretical results.
Idioma: Inglés
DOI: 10.1002/nla.2550
Año: 2024
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 31, 4 (2024), e2550 [21 pp.]
ISSN: 1070-5325
Factor impacto JCR: 2.1 (2024)
Categ. JCR: MATHEMATICS, APPLIED rank: 57 / 343 = 0.166 (2024) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 31 / 483 = 0.064 (2024) - Q1 - T1
Factor impacto SCIMAGO: 0.757 - Algebra and Number Theory (Q1) - Applied Mathematics (Q2)
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 (2025-09-22-14:32:51)
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Idioma: Inglés
DOI: 10.1002/nla.2550
Año: 2024
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 31, 4 (2024), e2550 [21 pp.]
ISSN: 1070-5325
Factor impacto JCR: 2.1 (2024)
Categ. JCR: MATHEMATICS, APPLIED rank: 57 / 343 = 0.166 (2024) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 31 / 483 = 0.064 (2024) - Q1 - T1
Factor impacto SCIMAGO: 0.757 - Algebra and Number Theory (Q1) - Applied Mathematics (Q2)
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 (2025-09-22-14:32:51)
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Record created 2024-03-15, last modified 2025-09-23