α-对角占优矩阵与广义严格对角占优矩阵的判定  

α-diagonally dominant matrices andcriteria for generalized strictly diagonally dominant matrix

作　　者：郭志军[1] 刘建州[1] 

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105

出　　处：《湖南理工学院学报（自然科学版）》2005年第1期8-11,共4页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：湖南省教育厅重点项目 (0 2A0 10 );湖南省面上项目 (0 3C45 2 )资助

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。利用α -对角占优矩阵的一些性质 ,获得了广义严格对角占优矩阵的几个判定定理 ,改进了已有的一些结论 ,并用数值例子说明了所得结果的实用性。Generalized strictly diagonally dominant matrices play an important role in many fields, but it isn't easy to determine a matrix is a generalized strictly diagonally matrix or not. In this paper, several criteria for generalized strictly diagonally dominant matrices are obtained and some existed results are improved by using the property of α- diagonally dominant matrices, then a numerical example was 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]