广义严格对角占优矩阵的递进式判定新准则  

New Criterion for the Recursive Determination of Generalized Strictly Diagonally Dominant Matrices

作　　者：石慧[1] 庹清[1] 吴乐 SHI Hui;TUO Qing;WU Le(College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2021年第5期12-19,共8页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(11861033);吉首大学校级科研项目资助(JDY21001)。

摘　　要：根据广义严格对角占优矩阵的性质,通过细分矩阵的非占优行指标集和构造递进式新正对角因子,给出了广义严格对角占优矩阵的递进式判定新准则.Based on the properties of the generalized strictly diagonally dominant matrices,a new criterion for the recursive determination of generalized strictly diagonally dominant matricesis given by subdividing the set of non-dominant row indicators of the matrix and constructing a new recursive positive diagonal factor.

关 键 词：广义严格对角占优矩阵 正对角矩阵 递进式 判定准则 

分 类 号：O151.21[理学—数学]