摘要
本文研究了一类特殊的逆M-矩阵.利用有向图中的性质和方法,获得了逆M-矩阵其逆为三对角矩阵的充分必要条件,推广了常见的D-型矩阵,得到了一类矩阵为逆M-矩阵的条件.
In this paper, we discuss the properties of a special inverse M- matrix. Based on characters and properties of directed graph, we give the necessary and sufficient conditions for the inverse matrix. In some special case, we generalize the condition for a matrix of type D to be inverse M-matrix and its inverse to be a tridiagonal matrix.
出处
《数学杂志》
CSCD
北大核心
2013年第4期679-682,共4页
Journal of Mathematics
基金
华北电力大学青年教师科研基金资助(932090902)
关键词
有向图
三对角矩阵
逆M-矩阵
directed graph
tridiagonal matrix
inverse M-matrix
