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非奇M-矩阵的判定准则
引用本文:安国斌,郭希娟.非奇M-矩阵的判定准则[J].河北大学学报(自然科学版),2000,20(3):228-231.
作者姓名:安国斌  郭希娟
作者单位:1. 华北煤炭医学院,基础部,河北,唐山,063000
2. 燕山大学,计算机信息与科学学院,河北,秦皇岛,066044
摘    要:给出了非奇M -矩阵新的判定定理.利用矩阵B=A +AT 满足新的判定定理的条件 ,得出矩阵A为非奇M矩阵的结论 ,推广了已有的判定定理.实例说明 ,采用该定理可以较为容易地得出判定结果

关 键 词:M矩阵  非奇M矩阵  对角占优  广义对角占优
文章编号:1000-1565(2000)03-0228-05
修稿时间:2000-02-28

Determining Criterions for Non-Singular M-Matrices
AN Guo-bin,GUO Xi-juan.Determining Criterions for Non-Singular M-Matrices[J].Journal of Hebei University (Natural Science Edition),2000,20(3):228-231.
Authors:AN Guo-bin  GUO Xi-juan
Institution:AN Guo-bin ;(Department of Basic, North China Coal Medical College, Tangshan 063000, China);GUO Xi-juan ;(College of Computer Information and Seience, Yanshan University, Qinhuangdao 066044, China)
Abstract:Some new judging criterions for non - singular M - matrices are presented by using the matrix B=A+AT. It satisfies the new judging condition and generalized the concluded results. By using the given theorems, as the example illustrated, the determinate results can be more conveniently obtained.
Keywords:M-matrix  non-singular M-matrix  diagonally dominant  generalized diagonally dominant
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