判定非奇异H-矩阵的几个新充分条件

Several New Sufficient Conditions for Identifying Nonsingular H-matrices

运用矩阵理论上的一些方法和广义α-对角占优矩阵与非奇异H-矩阵的等价关系,得出了非奇异H-矩阵的几个简明的判别条件,同时改进了近期的一些理论结果,最后,用数值实例说明了这些充分条件的有效性。

In this paper,we mainly use some traditional techniques in matrix theory and integrate equivalence relation of generalized α diagonally dominant matrix and nonsingular H-matrices to get some new sufficient conditions for nonsingular H-matrices.At the same time,we improved the recent theoretical results.In the last section,some examples are given to show their efficiencies.