Criteria of the Nonsingular H-Matrices

Abstract The nonsingular H-matrices play an important role in the study of the matrix theory and the iterative method of systems of linear equations, etc. It has always been searched how to verify nonsingular H-matrices. In this paper, nonsingular H-matrices is studies by applying diagonally dominant matrices, irreducible diagonally dominant matrices and comparison matrices and several practical criteria for identifying nonsingular H-matrices are obtained