Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634399 | Applied Mathematics and Computation | 2008 | 5 Pages |
Abstract
Suppose K is a skew field. Let Kn×nKn×n denote the set of all matrices over K . For A∈Kn×nA∈Kn×n, the matrix X∈Kn×nX∈Kn×n is said to be the group inverse of A , if it holds that AXA=A,XAX=X,AX=XA. In this paper, we give the existence and the representation of the group inverse for block matrix M=AAB0(A,B∈Kn×n,A2=A) over skew fields, and give the existences and the representations of the group inverse for other block matrices.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Changjiang Bu, Jiemei Zhao, Jinshan Zheng,