Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices
Orera, H. (Universidad de Zaragoza) ; Peña, J.M. (Universidad de Zaragoza)
Resumen: For many applications, it is convenient to have good upper bounds for the norm of the inverse of a given matrix. In this paper, we obtain such bounds when A is a Nekrasov matrix, by means of a scaling matrix transforming A into a strictly diagonally dominant matrix. Numerical examples and comparisons with other bounds are included. The scaling matrices are also used to derive new error bounds for the linear complementarity problems when the involved matrix is a Nekrasov matrix. These error bounds can improve considerably other previous bounds.
Idioma: Inglés
DOI: 10.1016/j.amc.2019.04.027
Año: 2019
Publicado en: Applied Mathematics and Computation 358 (2019), 119-127
ISSN: 0096-3003
Factor impacto JCR: 3.472 (2019)
Categ. JCR: MATHEMATICS, APPLIED rank: 7 / 260 = 0.027 (2019) - Q1 - T1
Factor impacto SCIMAGO: 0.969 - Computational Mathematics (Q1) - Applied Mathematics (Q1)
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2015-65433-P
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 (2025-01-17-14:35:47)
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Idioma: Inglés
DOI: 10.1016/j.amc.2019.04.027
Año: 2019
Publicado en: Applied Mathematics and Computation 358 (2019), 119-127
ISSN: 0096-3003
Factor impacto JCR: 3.472 (2019)
Categ. JCR: MATHEMATICS, APPLIED rank: 7 / 260 = 0.027 (2019) - Q1 - T1
Factor impacto SCIMAGO: 0.969 - Computational Mathematics (Q1) - Applied Mathematics (Q1)
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2015-65433-P
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 (2025-01-17-14:35:47)
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Record created 2025-01-17, last modified 2025-01-17