关于广义对角占优矩阵  

On Generalized Diagonally Dominant Matrices

作　　者：肖荣[1] 周积团[1] 

机构地区：[1]五邑大学数学与计算科学学院,广东江门529020

出　　处：《五邑大学学报（自然科学版）》2014年第4期1-5,共5页Journal of Wuyi University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11201092;11101204)

摘　　要：设A=(aij)∈Cn×n,若对∨i∈N+{1,2,…,n}均有|ɑii|≥Σj≠i|ɑij|,则称A为对角占优矩阵.若存在正对角矩阵T,使得AT为对角占优矩阵,则称A为广义对角占优矩阵.论文通过构造正对角矩阵,在一定条件下得到了广义对角占优矩阵的几个判定条件和性质,改进和推广了一些已有的结果,并用数值例子说明了这些判定条件的有效性和实用性.Let A=（aij）∈C^n×n,. If ｜aii｜≥Σj≠i｜ɑij｜ ,∨i∈N^＋{1,2,…,n} then A is said to be a diagonally don dora and inant matrix inant matrix, If there exists a positive diagonal then A is said to be a generalized matrix T such that AT is a diagonally d properties of generalized diagonally dominant matrices are ominant matrix. obtained by c Some diagonally criteria for onstructi positive diagonal matrices. These results improve and generalize some known results. In ng some addition,some numerical examples for the effectiveness of these criteria are presented.

关 键 词：广义对角占优矩阵 主子矩阵 HADAMARD积 

分 类 号：O151.21[理学—数学]