A Set of Subdividing and Iterative Criteria for Nonsingular H-matrices

Nonsingular H-matrix is a class of special matrices that often arise in science and engineering; so it is very important to know whether a matrix is a nonsingular H-matrix or not.In this paper, by the method of subdivided regions and selecting iterative coefficients, which subdivided the set of non-diagonally dominant rows, a set of subdivided and iterative criteria for nonsingular H-matrices are offered according to the relations of α-chain diagonally dominance matrices and nonsingular H-matrices, which extend and improve some related results.Effectiveness of such criteria is illustrated by numerical examples.