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: 29 / 483 = 0.06 (2024) - Q1 - T1

Factor impacto SCIMAGO: 0.498 - Engineering (miscellaneous) (Q2) - Mathematics (miscellaneous) (Q2) - Computer Science (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)