两类块阵的群逆表示  

Representation of the group inverses for two class of block matrices

作　　者：刘玉[1] 曹重光[2] 

机构地区：[1]韩山师范学院数学系,广东潮洲521041 [2]黑龙江大学数学科学学院,黑龙江哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2006年第3期413-414,共2页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省自然科学基金资助项目(A0107)

摘　　要：目前人们并不知道形为M=ABCO的矩阵(其中A为方阵)的Drazin逆表示.这是由S.L.Campbell在[1]中提出的未解决问题.这种形状的块阵来自一系列从带约束的最优化问题到微分方程的解等众多应用领域.对形为M的两类特殊块阵,给出其群逆的表示公式.At the present time there is no known representation for the Drazin inverse of matrices of the form M =（A,B,C,D）, where A is square. This is an open research problem proposed by S. L. Campbell in [ 1 ]. Block matricesof this form arise in numerous applications, ranging from constrained optimization problems to the solution of differential equations. Representation of groups inverses of two class of block matrices of the form M is given.

关 键 词：群逆 块阵 酉矩阵 

分 类 号：O151.21[理学—数学]