Combined matrix of diagonally equipotent matrices

Abstract Let C ( A ) = ∘ − T {\mathcal{C}}\left(A)=A\circ {A}^{-T} be the combined matrix of an invertible A , where \circ means Hadamard product matrices. In this work, we study a nonsingular matrix, which is H H -matrix whose comparison singular. particular, focus on {\mathcal{C}}\left(A) when diagonally equipotent, and whether to class it belongs. Moreover, give some properties diagonal dominance these matrices their