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矩阵对角占优性进一步讨论
引用本文:杨益民.矩阵对角占优性进一步讨论[J].曲阜师范大学学报,1993(1).
作者姓名:杨益民
作者单位:安徽机电学院运筹学研究室 241000
摘    要:研究了较广泛的一类矩阵——D_0~*(R)类及其若干有应用价值的子类的特征值分布问题,并给出了若干应用。关于矩阵特征值分布的结果包含了讫今已有的大部分结论。

关 键 词:矩阵  对角占优  特征值分布  非异性  稳定性

FURTHER RESEARCH ON DIAGONAL DOMINANCE MATRICES
Yang Yimin House of Operations Research,Anhui College of Mechanical and Electrical Engineering,Wuhu,Anhui,PRC.FURTHER RESEARCH ON DIAGONAL DOMINANCE MATRICES[J].Journal of Qufu Normal University(Natural Science),1993(1).
Authors:Yang Yimin House of Operations Research  Anhui College of Mechanical and Electrical Engineering    Wuhu  Anhui  PRC
Institution:Yang Yimin House of Operations Research,Anhui College of Mechanical and Electrical Engineering,241000,Wuhu,Anhui,PRC
Abstract:The distribution of eigenvalues of D~*(R) and some of its subclasses which can be applied are discussed. Some applications of'these results are shown also. Many results on distribution of eigenvalues of matrices so far have been contained in the results of this paper.
Keywords:matrix  diagonal dominance  distribution of eigenvalues  non-singularity  stability  
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