摘要
目前人们并不知道形为M=■的矩阵(A为方阵)的Drazin逆表示问题.这是由S.L.Campbell在参考文献[1]中提出的至今未解决的问题.利用群逆存在的充分必要条件和群逆的求解公式.给出形为M=■(其中A为方阵)的分块矩阵的群逆的存在性证明及一般表示方法.
At the present time,there is no known representation for the Drazin inverse of the partitioned matrices of the form ■, where A is square.This is an open research problem proposed by S.L.Campbell in [1].According the existential conditions and the operating formula of the group inverses,the existence and representation of the group inverses for the partitioned matrices of the form M are given
出处
《哈尔滨师范大学自然科学学报》
CAS
2007年第4期32-34,共3页
Natural Science Journal of Harbin Normal University
关键词
分块矩阵
群逆
酉矩阵
The block matrices
Group inverse
Unitary matrix