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

作　　者：高慧敏[1] 陆全[1] 徐仲[1] 袁志杰[2] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072 [2]合肥工业大学理学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2012年第11期1565-1568,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(10802068)

摘　　要：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.

关 键 词：广义严格对角占优矩阵 非奇异H-矩阵 Α-对角占优矩阵 不可约 非零元素链 

分 类 号：O151.21[理学—数学]