Combined matrix of diagonally equipotent matrices
Combined matrix of diagonally equipotent matrices
Date
2023-09-12
Authors
Máximo Santana
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Abstract
Let (𝐴)=𝐴∘𝐴−𝑇 be the combined matrix of an invertible matrix 𝐴, where ∘ 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 (𝐴) when 𝐴 is diagonally equipotent, and we study whether(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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Citation
Bru, R., Gassó, M., Giménez, I., Santana, M. & Scott, J. (2023). Combined matrix of diagonally equipotent matrices. Special Matrices, 11(1), 20230101.