Combined matrix of diagonally equipotent matrices

Autor: Bru Rafael, Gassó Maria T., Giménez Isabel, Santana Máximo, Scott José
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Special Matrices, Vol 11, Iss 1, Pp 144-151 (2023)
Druh dokumentu: article
ISSN: 2300-7451
DOI: 10.1515/spma-2023-0101
Popis: Let C(A)=A∘A−T{\mathcal{C}}\left(A)=A\circ {A}^{-T} be the combined matrix of an invertible matrix AA, where ∘\circ means the Hadamard product of matrices. In this work, we study the combined matrix of a nonsingular matrix, which is an HH-matrix whose comparison matrix is singular. In particular, we focus on C(A){\mathcal{C}}\left(A) when AA is diagonally equipotent, and we study whether C(A){\mathcal{C}}\left(A) is an HH-matrix and to which class it belongs. Moreover, we give some properties on the diagonal dominance of these matrices and on their comparison matrices.
Databáze: Directory of Open Access Journals