Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank
Delgado, Jorge (Universidad de Zaragoza) ; Koev, Plamen ; Marco, Ana ; Martínez, José-Javier ; Peña, Juan Manuel (Universidad de Zaragoza) ; Persson, Per-Olof ; Spasov, Steven
Resumen: We present a new decomposition of a Cauchy–Vandermonde matrix as a product of bidiagonal matrices which, unlike its existing bidiagonal decompositions, is now valid for a matrix of any rank. The new decompositions are insusceptible to the phenomenon known as subtractive cancellation in floating point arithmetic and are thus computable to high relative accuracy. In turn, other accurate matrix computations are also possible with these matrices, such as eigenvalue computation amongst others.
Idioma: Inglés
DOI: 10.1002/nla.2579
Año: 2024
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 31, 6 (2024), e2579 [15 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/MICINN/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. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2025-09-22-14:35:46)
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Idioma: Inglés
DOI: 10.1002/nla.2579
Año: 2024
Publicado en: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 31, 6 (2024), e2579 [15 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/MICINN/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. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2025-09-22-14:35:46)
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Record created 2024-09-20, last modified 2025-09-23