修正矩阵Drazin逆的表示  

Representations of the Drazin inverse of a modified matrix

作　　者：崔润卿[1] 李幸兰[1,2] 

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454003 [2]中国矿业大学银川学院基础课部,宁夏银川750011

出　　处：《安徽大学学报（自然科学版）》2014年第4期9-12,共4页Journal of Anhui University(Natural Science Edition)

基　　金：河南省高等教育教学改革研究省级立项项目(2012SJGLX125)

摘　　要：以往文献给出了类似Sherman-Morrison-Woodbury式的修正矩阵Drazin逆的表达式及基于广义Schur补的修正矩阵Drazin逆的表达式.论文在上述结果的基础上,给出了另外一组不同的条件求得了修正矩阵Drazin逆的表达式,其表达式与上述结果相似,同时补充了群逆的情况.The representations of the Sherman - Morrison - Woodbury for the Drazin inverse of a modified matrix and the representations of a modified matrix through the generalized Schur complement have been given in other papers. In this paper, we extended those results, and gave another different condition to get representations for the Drazin inverse of a modified matrix, and the representations were similar to results above. At last, we supplement the situation of the group inverse.

关 键 词：DRAZIN逆 修正矩阵 广义SCHUR补 幂零 

分 类 号：O151.21[理学—数学]