应用α-链对角占优矩阵的性质,结合不等式放缩技巧并采用寻找正对角阵因子的方法给出判定广义严格对角占优矩阵的一些新的充分条件,推广和改进了已有对广义严格对角占优矩阵的判定方法,并用数值算例证明了结果的优越性.%Based on the properties of α-chain diagonlly dominant matrices, several new sufficient conditions to determine generalized strictly diagonlly dominant matrices were given by means of some techniques for inequalities and a method for finding positive diagonal matrix factors, and thus the corresponding results are improved and generalized. A numerical example was given to show the advantages of our new criteria.
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