一类特殊逆M-矩阵判定  

A Criteria of a Special Inverse M-matrices

作　　者：殷云星[1] 

机构地区：[1]华北电力大学数理系,保定071003

出　　处：《科学技术与工程》2010年第18期4459-4460,共2页Science Technology and Engineering

基　　金：华北电力大学校内科研基金项目资助

摘　　要：讨论了具有一有向回路的非负矩阵的性质,给出了与其逆有相同零位模式的条件,研究了该矩阵为逆M-矩阵的条件,间接地给出了非负三对角矩阵为逆M-矩阵的充分必要条件。The properties of a directed cycle matrix is discussed. A matrix which zero pattern the same with its inverse is investigated. In some special case, based on characters and properties of inverse M-matrix, a simple method of the criteria of tridiagonal inverse M-matrices is given.

关 键 词：有向回路 零位模式 逆M-矩阵 

分 类 号：O151.21[理学—数学]