Accurate bidiagonal factorization of quantum Hilbert matrices
Mainar, E. (Universidad de Zaragoza) ; Peña, J.M. (Universidad de Zaragoza) ; Rubio, B. (Universidad de Zaragoza)
Resumen: A bidiagonal decomposition of quantum Hilbert matrices is obtained and the total positivity of these matrices is proved. This factorization is used to get accurate algebraic computations with these matrices. The numerical errors due to imprecise computer arithmetic or perturbed input data in the computation of the factorization are analyzed. Numerical experiments show the accuracy of the proposed methods.
Idioma: Inglés
DOI: 10.1016/j.laa.2023.10.026
Año: 2023
Publicado en: LINEAR ALGEBRA AND ITS APPLICATIONS 681 (2023), 131-149
ISSN: 0024-3795
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 (2024-01-31-19:24:44)
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Idioma: Inglés
DOI: 10.1016/j.laa.2023.10.026
Año: 2023
Publicado en: LINEAR ALGEBRA AND ITS APPLICATIONS 681 (2023), 131-149
ISSN: 0024-3795
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 (2024-01-31-19:24:44)
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Record created 2024-01-31, last modified 2024-01-31