广义严格对角占优矩阵的新判定准则

A set of new criteria for generalized strictly diagonally dominant matrix

广义严格对角占优矩阵作为一类特殊矩阵,在数学、物理、控制论及经济学等许多领域有着重要的应用。文章利用α-对角占优矩阵给出了判定广义严格对角占优矩阵的一组充分条件,推广和改进了已有的相关结果,数值算例也说明了这些结论的有效性。

Generalized strictly diagonally dominant matrix is a kind of special matrix which has important application in mathematics, physics, control theory, economics and many other fields. According to the α-diagonally dominant matrices, some sufficient conditions for generalized strictly diagonally dominant matrices are obtained, and some related results are improved. The effectiveness of the study is illustrated by numerical examples.