Combined matrix of diagonally equipotent matrices
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https://riunet.upv.es/handle/10251/212710
Cita bibliográfica
Bru García, R.; Gasso Matoses, MT.; Gimenez Manglano, MI.; Santana-De Asis, MDJ.; Scott-Guilleard, JA. (2023). Combined matrix of diagonally equipotent matrices. Special Matrices. 11(1). https://doi.org/10.1515/spma-2023-0101
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Resumen
[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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Special Matrices issn: 2300-7451
