α-次对角占优矩阵与非奇异次H矩阵的判定  

α-subdiagonally Dominant Matrices and Criteria of Nonsingular Sub-H-matrices

作　　者：郭志军[1] 高友武[2] 

机构地区：[1]湖南城市学院数学与计算科学系,益阳413000 [2]湖南工程学院理学院,湘潭411104

出　　处：《湖南工程学院学报（自然科学版）》2009年第4期72-74,77,共4页Journal of Hunan Institute of Engineering(Natural Science Edition)

摘　　要：利用α-次对角占优矩阵的一些性质,通过选取正对角因子元素和放缩不等式的技巧,获得了广义严格次对角占优矩阵的几个判定定理,从而将一些已有的结论推广到非奇异次H矩阵中,并用数值例子说明了所得结果的实用性.In this paper,we obtain some new determinate conditions for generalized strictly subdiagonally dominant matrices by using the properties of generalized strictly-subdiagonally dominant matrices and by constructing the positive diagonal matrix D and inequalities techniques.So we extend some existsing results to the non-singular sub H matrices.Finally,some examples are given to show the practicability of these theorems.

关 键 词：广义严格α-次对角占优矩阵 非奇异次H矩阵 不可约矩阵 

分 类 号：O151.21[理学—数学]