非奇H-矩阵的一个实用判定  

A practical criteria for nonsingular H-matrix

作　　者：刘晶[1] 宋岱才[1] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《纺织高校基础科学学报》2011年第4期560-562,共3页Basic Sciences Journal of Textile Universities

摘　　要：非奇H-矩阵在控制论,经济数学等领域中被广泛的应用,而实际应用中判定非奇H-矩阵是比较困难的.利用广义严格α-对角占优矩阵,得到了非奇H-矩阵的一个实用的判定条件,推广了已有文献的结果,并用数值例子说明了结论的有效性.Nonsingular H-matrix is applied widely in control theory,economic mathematics,etc.However,nonsingular H-matrix is determined difficultly in practice.The generalized strictly α-diagonally dominant matrix is applied to obtain a new condition of practical criteria for nonsingular H-matrix.Some results in literature are generalized,and the efficiency of the proposed criteria is showed by a numerical example.

关 键 词：非奇H-矩阵 广义严格α-对角占优矩阵 判定条件 

分 类 号：O151.21[理学—数学]