对称局部双对角占优矩阵与非奇H矩阵的判定  

Symmetrical Local Double Diagomally Dominant Matrices And the Criteria Of Non-singular H-Matrix

作　　者：郭志军[1] 

机构地区：[1]湖南城市学院数学与计算科学系,湖南益阳413000

出　　处：《湖南城市学院学报（自然科学版）》2011年第1期38-40,共3页Journal of Hunan City University:Natural Science

基　　金：湖南省教育厅科研基金资助项目(10B015);益阳市科技计划资助项目(2010JZ20)

摘　　要：非奇H矩阵在许多领域中都发挥着重要作用,但在实用中要判别H矩阵却是很困难的.利用2类对称局部双对角占优矩阵获得了非奇H矩阵的2个充分条件,并用数值例子说明了所得结果的有效性.H matrices play an serveral important role in many fields,but in practice it is difficult to determine a matrix is an H matrix or not.In this paper,the concepts of two kinds symmetrical local double diagonally dominant matrices are introduced,using these concepts we obtain some new sufficient conditions about non-singular H matrices,the numerical example illustrates the effectiveness of our results.

关 键 词：对称局部双对角占优矩阵 对角占优矩阵 非奇H矩阵 非奇M矩阵 

分 类 号：O151.21[理学—数学]