三对角线逆M-矩阵  

Tridiagonal inverse M-matrices

作　　者：杨尚骏[1] 范益政[1] 

机构地区：[1]安徽大学数学系,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2001年第3期1-6,共6页Journal of Anhui University(Natural Science Edition)

基　　金：安徽省教育厅资助项目 (0 30 10 7)

摘　　要：研究同时为三对角线矩阵和逆M 矩阵的一类特殊矩阵 ,称之为三对角线逆M 矩阵。用图论的方法探讨三对角线逆M 矩阵的结构 ;并给出三对角线非负矩阵为逆M 矩阵的充分必要条件。最后 ,我们还证明了三对角线逆MIn this paper a special matrices, called tridiagonal inverse M-matrices, are investigated. Firstly we use graph method to characterize the structure of tridiagonal inverse M-matrices;secondly we give the necessary and sufficient condition for a matrix to be a tridiagonal inverse M-matrix; finally we prove that the Hadamard product is closed in the set of all n×n tridiagonal inverse M-matrices.

关 键 词：三对角线逆M-矩阵 伴随有向图 HADAMARD积 矩阵结构 封闭性 图论 

分 类 号：O151.21[理学—数学]