广义严格对角占优矩阵的判定准则  

Determined Standard of Generalized Strictly Diagonally Dominant Matrices

作　　者：吕洪斌[1] 刘学军[2] 

机构地区：[1]吉林大学数学研究所 [2]石家庄学院数学系,河北石家庄050035

出　　处：《河北师范大学学报（自然科学版）》2006年第4期373-376,共4页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金资助项目(10471055)

摘　　要：利用矩阵的Ostrowski对角占优性研究矩阵的非奇异性,给出了判定广义严格对角占优矩阵及非奇异M矩阵的若干充分条件,拓广了广义严格对角占优矩阵的判定准则.By using the properties of Ostrowski diagonally dominant matrices, the nonsingularity of matrix is studied, some sufficient conditions for generalized strictly diagonally dominant matrix and some criteria for nonsinglar M-matrices were given, the determined standard of generalized strictly diagonally dominant matrices was expounded.

关 键 词：广义严格对角占优矩阵 非奇异M矩阵 回路 

分 类 号：O151.21[理学—数学]