广义严格对角占优矩阵的判定条件  

Criteria for Generalized Strictly Diagonally Dominant Matrices

作　　者：何安旗[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》2008年第6期1121-1124,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10671164);湖南省教育厅重点项目(06A070)

摘　　要：广义严格对角占优矩阵是一类应用广泛的特殊矩阵,它在计算数学、数学物理、控制论等众多领域中都有着重要的作用。本文利用α-链对角占优矩阵的性质,结合不等式的放缩技巧,给出了广义严格对角占优矩阵新的判定条件,扩大了矩阵的判别范围,推广了一些已有的结论。The generalized strictly diagonally dominant matrix is a special class of matrices with wide applications. It plays an important role in computational mathematics, mathematical physics, theory of dynamical systems etc. In this paper, by using the properties of α-chain diagonally dominant matrices and applying some techniques of inequalities, we obtain some new criteria for generalized strictly diagonally dominant matrices, which enlarge the identification range and generalize some recent results.

关 键 词：广义严格对角占优矩阵 判定条件 α-链对角占优 

分 类 号：O151.21[理学—数学]