关于广义逆矩阵A_(T,S)^(1,2)的刻画推广  

ON THE PORTRAYAL AND POPULARIZATION OF GENERALIZED INVERSE MATRIX A_(T,S)^(1,2)

作　　者：卜长江[1] 樊赵兵[1] BU Chang—jiang;FAN Zhao—bing(Dept.of App1.Math.,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学应用数学系,黑龙江哈尔滨150001

出　　处：《数学杂志》2004年第6期615-618,共4页Journal of Mathematics

基　　金：哈尔滨工程大学基础研究基金资助项目(HEUE04019)

摘　　要：本文通过一类秩等方程给出了A(1,2)T,S、A(2)T,S的一种刻画及一类秩等方程有解的充分必要条件,推广了文献[1]、[4]的结论,并改进了[4]关于矩阵A的Drazin逆Ad的一类刻画的证明.In this paper,we portray the A(1,2)T,S and A(2)T,S by the equation of equirank and generalize the conclusions of the papers[1][4],and give necessary and sufficient conditions for existence of solution about a class of equation of equirank.The article[4]gave the portrayal of A d,we show a simpler proof of the portrayal then that in article[4].

关 键 词：广义逆 {1 2}逆 DRAZIN逆 

分 类 号：O151.21[理学—数学]