Accurate computations with block checkerboard pattern matrices
Delgado, Jorge (Universidad de Zaragoza) ; Orera, Héctor (Universidad de Zaragoza) ; Peña, J. M. (Universidad de Zaragoza)
Resumen: In this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some linear algebra computations with high relative accuracy. A result on intervals of checkerboard matrices is included. Some numerical examples illustrate the theoretical results.
Idioma: Inglés
DOI: 10.3390/math12060853
Año: 2024
Publicado en: Mathematics 12, 6 (2024), 853 [13 pp.]
ISSN: 2227-7390
Factor impacto JCR: 2.2 (2024)
Categ. JCR: MATHEMATICS rank: 30 / 492 = 0.061 (2024) - Q1 - T1
Factor impacto CITESCORE: 4.6 - Mathematics (all) (Q1) - Engineering (miscellaneous) (Q2) - Computer Science (miscellaneous) (Q2)
Factor impacto SCIMAGO: 0.498 - Computer Science (miscellaneous) (Q2) - Mathematics (miscellaneous) (Q2) - Engineering (miscellaneous) (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.
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Idioma: Inglés
DOI: 10.3390/math12060853
Año: 2024
Publicado en: Mathematics 12, 6 (2024), 853 [13 pp.]
ISSN: 2227-7390
Factor impacto JCR: 2.2 (2024)
Categ. JCR: MATHEMATICS rank: 30 / 492 = 0.061 (2024) - Q1 - T1
Factor impacto CITESCORE: 4.6 - Mathematics (all) (Q1) - Engineering (miscellaneous) (Q2) - Computer Science (miscellaneous) (Q2)
Factor impacto SCIMAGO: 0.498 - Computer Science (miscellaneous) (Q2) - Mathematics (miscellaneous) (Q2) - Engineering (miscellaneous) (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. Exportado de SIDERAL (2026-02-17-20:21:24)
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Record created 2024-04-12, last modified 2026-02-17