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中文摘要：
研究了非奇H-矩阵的判定问题.先给出了几个判定严格α-双链对角占优矩阵的充要条件,进一步利用矩阵对角占优理论得到了判定非奇H-矩阵的一些充分条件,推广和改进了已有的相关结果,并用数值算例说明了这些判定方法的有效性.
英文摘要：
This paper is focused on the problem of criteria for nonsingular H-matrices. Several sufficient and necessary conditions for determining strictly double a-chain diagonally dominant matrices are given. Furthermore, some sufficient conditions for nonsingular H- matrix by using the theory of diagonally dominant matrices are obtained. Some related results are improved. Effectiveness of such criteria is illustrated by numerical examples.
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