Full-rank representation of generalized inverse AT,S(2) and its application

Authors:
Xingping Sheng;Guoliang Chen
Affiliations:
Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China and Department of Mathematics, Fuyang Normal College, Fuyang Anhui 236032, People's Republic of ...;Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

In this paper, we introduce a full-rank representation of the generalized inverse A"T","S^(^2^) of a given complex matrix A, which is based on an arbitrary full-rank decomposition of G, where G is a matrix such that R(G)=T and N(G)=S. Using this representation, we introduce the minor of the generalized inverse A"T","S^(^2^); as a special case of the minor, a determinantal representation of the generalized inverse A"T","S^(^2^) is obtained. As an application, we use an example to demonstrate that this representation is correct.