逆为三对角矩阵的逆M-矩阵  

ON AN INVERSE M-MATRIX WITH A TRIDIAGONAL INVERSE MATRIX

作　　者：殷云星[1] 

机构地区：[1]华北电力大学数理系,河北保定071003

出　　处：《数学杂志》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)

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.

关 键 词：有向图 三对角矩阵 逆M-矩阵 

分 类 号：O151.21[理学—数学]