Simple Criteria For (block) H-Matrices And Its Applications

This paper mainly includes two parts:1. Simple Criteria for (block)H-Matrices: we present sufficient conditions, which generalize and improve the previous results.For example:We present two sufficient conditions for H-matrix. For example,. There is an and , ,则A is a nonsingular block H-matrices.2. Applications about sufficient conditions of block H-Matrices: We spread the application base upon Simple Criteria for block H-Matrices. And we present Simple Criteria of positive stability and sub-positive definity for a block H-Matrices. The next we study the upper bounds for and the lower bounds for the smallest singular value. At last we discuss convergence of block iterative method.