An accurate method for the LU decomposition of amazing matrices
Ballarín, Jorge (Universidad de Zaragoza) ; Delgado, Jorge (Universidad de Zaragoza) ; Liu, Yanxin ; Orera, Héctor (Universidad de Zaragoza) ; Peña, Juan Manuel (Universidad de Zaragoza)
Resumen: Amazing matrices arise in several important combinatorial problems. In [13], a question was raised concerning how to obtain an LU factorization of these matrices. In this work, we answer this question for the case and introduce a high relative accurate algorithm to compute such a factorization. Numerical experiments are provided to demonstrate the accuracy and effectiveness of the proposed method.
Idioma: Inglés
DOI: 10.1016/j.laa.2026.03.014
Año: 2026
Publicado en: LINEAR ALGEBRA AND ITS APPLICATIONS 740 (2026), 1-10
ISSN: 0024-3795
Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00
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.
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Idioma: Inglés
DOI: 10.1016/j.laa.2026.03.014
Año: 2026
Publicado en: LINEAR ALGEBRA AND ITS APPLICATIONS 740 (2026), 1-10
ISSN: 0024-3795
Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00
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 (2026-04-10-13:46:07)
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Articles > Artículos por área > Matemática Aplicada
Record created 2026-04-10, last modified 2026-04-10