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非奇H-矩阵的一个实用判定
引用本文:刘晶,宋岱才. 非奇H-矩阵的一个实用判定[J]. 纺织高校基础科学学报, 2011, 0(4): 560-562
作者姓名:刘晶  宋岱才
作者单位:辽宁石油化工大学理学院
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.

关 键 词:非奇H-矩阵  广义严格α-对角占优矩阵  判定条件

A practical criteria for nonsingular H-matrix
LIU Jing,SONG Dai-cai. A practical criteria for nonsingular H-matrix[J]. Basic Sciences Journal of Textile Universities, 2011, 0(4): 560-562
Authors:LIU Jing  SONG Dai-cai
Affiliation:(School of Science,Liaoning Shihua University,Fushun,Liaoning 113001,China)
Abstract: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.
Keywords:nonsingular H-matrix  generalized strictly α-diagonally dominant matrix  determinate condition
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