坡矩阵的Cline逆  

The Cline Inverse of Incline Matrix

作　　者：黄昱[1] 廖祖华[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2008年第5期63-67,共5页Fuzzy Systems and Mathematics

摘　　要：研究了坡矩阵的广义逆。首先引入坡矩阵的Cline逆和Drazin逆,运用坡矩阵的性质证明任意坡矩阵都有Drazin逆,从而得出任意坡矩阵都有Cline逆,并且是唯一的。进一步,如果A+存在,那么AC等于A+.最后,给出AC的一些性质。In this paper,we investigate the inverse of incline matrix.First,we introduce the Cline inverse and the Drazin inverse of incline matrix,with the properties of incline matrix we prove that any incline matrix has the Drazin inverse,thus we get any incline matrix has the Cline inverse,and it is unique.Moreover,if A^＋ exists,then A^C equals to A^＋.Last,we give some properties of A^C.

关 键 词：半环 格矩阵 DRAZIN逆 Cline逆 坡矩阵 转置 

分 类 号：O189[理学—数学]