α-Diagonally Dominant Matrix and Criterion for Nonsingular H-matrix

The concept of α-diagonally dominant matrix to generalize α-diagonally dominant matrix is extended,and the concept is applid to generalize α-diagonally dominant matrix to obtain a new criteria conditions for a matrix to be a nonsingular H-matrix.Which makes the criteria for generalized α-diagonally dominant matrices and H-matrices more simple and effective in practice.