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.
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
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
nonsingular M matrix
comparison matrix
diagonally dominant matrix
α diagonally dominant matrix
