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双对角占优与非奇M-矩阵的判定
引用本文:安国斌,郭希娟.双对角占优与非奇M-矩阵的判定[J].应用数学与计算数学学报,2000,14(2):93-96.
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,唐山,063000
2. 燕山大学计算机系,秦皇岛,066004
摘    要:本文利用矩阵B=A A^T的双对角占优性给出了矩阵A为M矩阵的新判定准则,推广了已有的判定定理。实例说明,采用本文定理可以较为容易地得出判定结果,本文给出的判定准则具有简单、方便的特点,与已有的判定准则相比,具有更为广泛的适用范围。

关 键 词:双对角占优  非奇M-矩阵  判定定理  特征值

Double Diagonally Dominant And The Determining Criterions for Non-Singular M-Matrices
GUOBIN AN,XIJUAN GUO.Double Diagonally Dominant And The Determining Criterions for Non-Singular M-Matrices[J].Communication on Applied Mathematics and Computation,2000,14(2):93-96.
Authors:GUOBIN AN  XIJUAN GUO
Abstract:In this paper, some new judging criterions for M-matrices have been presented by using the double diagonally dominant matrix B = A AT and generalized the concluded results in 1]-8]. As the examples have illustrated, the judging results can be easily obtained by using the theorems presented in this paper. Corresponding to others concluded judging results, the determinate criterions are of more convenient characteristics, and more widely application areas.
Keywords:Non-singular M-matrix  Diagonally Dominant  Double Diagonally Dominant  
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