广义逆A_(T，S)^(2)的几种秩关系式  

Some rank equations of the generalized inverse A_(T,S)^(2)

作　　者：孙劼[1] 王国荣[2] 

机构地区：[1]上海应用技术学院数理部,上海200235 [2]上海师范大学数理信息学院,上海200234

出　　处：《纯粹数学与应用数学》2008年第3期477-484,584,共9页Pure and Applied Mathematics

基　　金：上海市教委科技发展基金(050Z07)

摘　　要：利用矩阵A的广义逆A_(T,S)^(2)的Moore-Penrose逆表示式,得到了与广义逆A_(T,S)^(2)相关的几种秩等式和不等式,并由此得到了加权Moore-Pensore逆,Moore-Pensore逆,Drazin逆及群逆的相应结论.For given matrix A, by applying the Moore-Penrose inverse expression of the generalized inverse AT,S^（2）, we present some rank equalities and inequalities related to AT,S^（2）. As the speacial cases, similar results for the weighted Moore-Penrose inverse, Moore-Penrose inverse, Drazin inverse, Drazin inverse and group inverse are derived.

关 键 词：秩 广义逆AT S^(2) MOORE-PENROSE逆 加权Moore-Pensore逆 DRAZIN逆 群逆 

分 类 号：O151.21[理学—数学]