广义严格对角占优矩阵的判定  

Criteria for Generalized Strictly Diagonally Dominant Matrix

作　　者：郭志军[1] 

机构地区：[1]湖南城市学院教学与计算科学系,益阳413000

出　　处：《湖南工程学院学报（自然科学版）》2008年第4期47-49,共3页Journal of Hunan Institute of Engineering(Natural Science Edition)

基　　金：湖南省教育厅重点科研资助项目(02A010)

摘　　要：广义严格对角占优矩阵在许多领域中具有重要作用,但其判定是不容易的.这里获得了广义严格对角占优矩阵的几个判定定理,然后用数值例子说明了所得结果的实用性.Generalized strictly diagonally dominant matrix plays an important role in many fields, but it isn＇t easy to determine whether a matrix is a generalized strictly diagonally matrix or not. In this paper, several criteria for generalized strictly diagonally dominant matrices are obtained and a numerical example is given to illustrate the effectiveness of the results.

关 键 词：广义严格对角占优矩阵 Α-对角占优矩阵 不可约矩阵 

分 类 号：O151.21[理学—数学]