2×2分块矩阵的Drazin逆表示(英文)  

REPRESENTATIONS FOR THE DRAZIN INVERSE OF 2 X 2 BLOCK MATRICES

作　　者：庄桂芬[1,2] 陈建龙[2] 

机构地区：[1]江南大学理学院,无锡214122 [2]东南大学数学系,南京210096

出　　处：《南京大学学报（数学半年刊）》2012年第1期16-25,共10页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：supported by the National Natural Science Foundation of China under grant 10971024;the Speeialized Research Fund for the Doetoral Program of Higher Edueation under grant 200802860024;the Natural Science Foundation of Jiangsu Province under grant BK2010393

摘　　要：文中利用2×2分块矩阵M=[A B C D]的子块研究了M的Drazin逆。In this paper the Drazin inverse of a 2×2 block matrix M=[A B C D] in terms of its various blocks is considered. We derive the representations for the Drazin inverse of M under the conditions being weaker than those given in the literature.

关 键 词：DRAZIN逆 群逆 分块矩阵 指标 

分 类 号：O151.21[理学—数学]