中文摘要：

非奇异H-矩阵作为一类特殊的矩阵,在计算数学、矩阵理论、经济数学、控制理论等领域有着非常广泛的应用.本文根据M-矩阵和γ-链对角占优矩阵的特殊性质,通过构造正对角矩阵以及细分矩阵指标集的方法,利用特殊的不等式和不等式的放缩技巧,给出了几个判别非奇异H-矩阵的新条件,推广了近期的一些结果,最后给出相应的数值例子来说明判别条件的有效性.

英文摘要：

Nonsingular H-matrix is a special in computational mathematics, matrix theory, class of matrices which has wide applications economic mathematics and control theory. In this paper, according to the special properties of M-matrices and γ-chaln diagonally dominant matrices, and constructing positive diagonal matrices and subdividing the index set of matrices, we obtain several new conditions for judging H-matrices by applying some special inequalities and inequality techniques. The criteria extend some of the recent results, and the numerical examples illustrate the effectiveness of the theoretical results.