广义严格对角占优矩阵的几个判定条件  

Some Determinant Conditions for Generalized Strictly Diagonally Dominant Matrices

作　　者：张劲松[1] 李红[1] 

机构地区：[1]九江学院理学院,江西九江332005

出　　处：《数学的实践与认识》2014年第3期181-185,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71261010);江苏省自然科学基金(2010GQS0129)

摘　　要：广义严格对角占优矩阵在计算数学、数学物理、控制论等众多领域有着广泛而重要的应用.但实际判断一个矩阵是否为广义严格对角占优矩阵却是困难的.本文利用α-对角占优矩阵的性质,给出了广义严格对角占优矩阵的几个判定条件,扩大了判别范围.Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics,mathematical physics,theory of dynamical systems etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper,by using the properties of α-diagonally dominant matrix,we obtained some determinant conditions for generalized strictly diagonally dominant matrix,which enlarge the identification range.

关 键 词：广义严格对角占优矩阵 判定条件 Α-对角占优矩阵 

分 类 号：O151.21[理学—数学]