非奇异M矩阵的判定  

The Criteria for Nonsingular M Matrix

作　　者：许洁[1] 

机构地区：[1]吉林化工学院理学院,吉林省吉林市132022

出　　处：《长春师范大学学报》2017年第10期1-3,共3页Journal of Changchun Normal University

摘　　要：本文通过研究非奇异M矩阵的定义及其与广义严格对角占优矩阵间的关系,获得了一组非奇异M矩阵的实用判别条件,该判别方法避免了同类判别法中关于参数取值的讨论问题,直接利用矩阵元素间的关系对给定矩阵进行判定,进一步丰富了非奇异M矩阵的理论。In this paper,we deduce a set of criteria for nonsingular M matrix by studying the definition of nonsingular M matrix and its relation with the generalized strictly diagonally dominant matrices. This method avoids the discussion of the parameter in the same discriminant method,and the proposed methods directly judges the given matrix by the relation between the elements of the matrix,which enriching the theory of nonsingular M matrix.

关 键 词：非奇异M矩阵 比较矩阵 对角占优矩阵 α对角占优矩阵 

分 类 号：O151.21[理学—数学]