Combined matrix of diagonally equipotent matrices

[EN] LetC(A) = A (sic) A(-T) be the combined matrix of an invertible matrix A, where (sic) means the Hadamard product of matrices. In this work, we study the combined matrix of a nonsingular matrix, which is an H-matrix whose comparison matrix is singular. In particular, we focus on C(A) when A is d...

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Detalhes bibliográficos
Autores: Bru García, Rafael, Gasso Matoses, María Teresa, Gimenez Manglano, María Isabel, Santana-De Asis, Máximo De Jesús, Scott-Guilleard, José Antonio
Tipo de documento: artigo
Data de publicação:2023
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:riunet.upv.es:10251/212710
Acesso em linha:https://riunet.upv.es/handle/10251/212710
Access Level:Acceso aberto
Palavra-chave:H-matrix
Combined matrix
Irreducibility
Diagonally equipotent matrix
MATEMATICA APLICADA
Descrição
Resumo:[EN] LetC(A) = A (sic) A(-T) be the combined matrix of an invertible matrix A, where (sic) means the Hadamard product of matrices. In this work, we study the combined matrix of a nonsingular matrix, which is an H-matrix whose comparison matrix is singular. In particular, we focus on C(A) when A is diagonally equipotent, and we study whether C(A) is an H-matrix and to which class it belongs. Moreover, we give some properties on the diagonal dominance of these matrices and on their comparison matrices.

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