局部双α对角占优矩阵及其应用  

Locally Double α-diagonally Dominant Matrix and its Applications

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：《工程数学学报》2005年第6期1075-1082,共8页Chinese Journal of Engineering Mathematics

基　　金：湖南省自然科学基金(04JJ40005)湖南省教育厅重点项目(02A010).

摘　　要：本文提出了两类局部双α对角占优矩阵,给出了其为广义严格对角占优矩阵的几个充分条件,并用数值例子说明了所得结果的有效性。Two kinds of locally α-diagonally dominant matrix are proposed and some sufficient conditions are obtained for judging their generalized strictly diagonally dominance. A numerical example is also given to illustrate the effectiveness of our results.

关 键 词：广义对角占优矩阵 广义α对角占优矩阵 局部双α对角占优矩阵 不可约矩阵 

分 类 号：O151.21[理学—数学]