中文摘要：

利用不等式的放缩技巧，给出了判别Ostrowski对角占优矩阵的一个充要条件，从而得到了判别非奇异H-矩阵的一个必要条件，改进和推广了已有的结论．最后用数值例子说明了所给结果的优越性．

英文摘要：

Ostrowski strictly diagonally dominant matrices play an important role in numerical analysis and matrix theory. In this paper,by some techniques of inequalities,we give a equivalent condition for Ostrowski strictly diagonally dominant matrices,and obtain a necessary condition for a matrix to be a nonsingular H-matrix indirectly. The result obtained improve the known corresponding results. At last some numerical examples are given for illustrating advantage of result.