双对角占优与非奇M-矩阵的判定  

Double Diagonally Dominant And The Determining Criterions for Non-Singular M-Matrices

作　　者：安国斌[1] 郭希娟[2] 

机构地区：[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

出　　处：《应用数学与计算数学学报》2000年第2期93-96,共4页Communication on Applied Mathematics and Computation

摘　　要：本文利用矩阵 Ｂ＝ Ａ ＋ ＡＴ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。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.

关 键 词：双对角占优 非奇M-矩阵 判定定理 特征值 

分 类 号：O151.2[理学—数学]