Sufficient Conditions Of Nonsingular H-matrices

H-matrices play a very important role in many fields like numerical analysis,matrix theory,mathematical economics,control theory,etc.But it is difficult to judge a nonsingular H-matrix in practice.They have given some practical determinate conditions in some papers[l]-[12].In this paper,we go on to discuss this question and prove several new simple interesting criteria for nonsingular H-matrices.So we improve and generalize the main results of papers[9].It is not enough to think ofα=1.We can also give some sufficient conditions for nonsingular H-matrices if 0≤α≤1 .These new results that were obtained can be applied to some wider range and solve more problems than those ones in papers [9].