Green Matrices, Minors and Hadamard Products

Delgado, Jorge (Universidad de Zaragoza) ; Peña, Guillermo (Universidad de Zaragoza) ; Peña, Juan Manuel (Universidad de Zaragoza)

Resumen: Green matrices are interpreted as discrete version of Green functions and are used when working with inhomogeneous linear system of differential equations. This paper discusses accurate algebraic computations using a recent procedure to achieve an important factorization of these matrices with high relative accuracy and using alternative accurate methods. An algorithm to compute any minor of a Green matrix with high relative accuracy is also presented. The bidiagonal decomposition of the Hadamard product of Green matrices is obtained. Illustrative numerical examples are included.

Idioma: Inglés

DOI: 10.3390/axioms12080774

Año: 2023

Publicado en: Axioms 12, 8 (2023), 774 [16 pp.]
ISSN: 2075-1680

Factor impacto JCR: 1.9 (2023)

Categ. JCR: MATHEMATICS, APPLIED rank: 66 / 332 = 0.199 (2023) - Q1 - T1

Factor impacto SCIMAGO: 0.0 - Algebra and Number Theory - Analysis - Mathematical Physics - Logic - Geometry and Topology

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Fund. Análisis Económico (Dpto. Análisis Económico)