In this paper, the concept of a-connective diagonal dominant matrix according to circuit is introduced, and new conditions for H-matrices are obtained, corresponding results of [1]-[9] are improved and generalized.
In this paper, some estimations of bounds for determinant of Hadamard product of H-matrices are given. The main result is the following: if A= (aij) and B=(bij) are nonsingular H-matrices of order n and ∏in=1, aiibii...In this paper, some estimations of bounds for determinant of Hadamard product of H-matrices are given. The main result is the following: if A= (aij) and B=(bij) are nonsingular H-matrices of order n and ∏in=1, aiibii> 0, and Ak and Bk, k = 1, 2,…,n, are the k× k leading principal submatrices of A and B, respectively, then where M(Ak) denotes the comparison mains of Ak.展开更多
文摘In this paper, the concept of a-connective diagonal dominant matrix according to circuit is introduced, and new conditions for H-matrices are obtained, corresponding results of [1]-[9] are improved and generalized.
基金This work is supported by the Science Foundations of Yunnan Province (2000A0001-1M) and the ScienceFoundations of the Eduation
文摘In this paper, some estimations of bounds for determinant of Hadamard product of H-matrices are given. The main result is the following: if A= (aij) and B=(bij) are nonsingular H-matrices of order n and ∏in=1, aiibii> 0, and Ak and Bk, k = 1, 2,…,n, are the k× k leading principal submatrices of A and B, respectively, then where M(Ak) denotes the comparison mains of Ak.
