中文摘要：

1符号与定义 为了行文方便，首先作如下记号约定：n为自然数，In表示礼阶单位矩阵，R^n×n表示所有n×n阶实数矩阵做成的集合。对A=（aij）n×n∈R^n×n，若aij≤0对所有的i，j=1，2，…，n，i≠j成立，

英文摘要：

In this paper, the defination of block centrosymmetric matrices is given, and some properties of block centrosymmetric matrices are shown. The relation between nonsingular centrosymmetric H-matrix and their reduced forms is investigated, a simple sufficent condition to testify whether a block centrosymmetric matrix is an H-matrix is given. All these results generalize the conclusions of [2].