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：马辉[1] 徐春福 

机构地区：[1]吉林农业科技学院文理学院,吉林132101 [2]新疆阜康市第二中学,阜康831500

出　　处：《吉林农业科技学院学报》2010年第3期96-98,共3页Journal of Jilin Agricultural Science and Technology University

摘　　要：利用矩阵B=A+AT的双对角占优给出了矩阵A为非奇M矩阵的新的判定准则,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 can be easily obtained by using the theorems presented in this paper.Corresponding to others concluded judging results,the determinate criterions are of move convenient characteristics,and more widely application areas.

关 键 词：非奇M矩阵 对角占优 双对角占优 

分 类 号：O151.21[理学—数学]