Full-rank representation of generalized inverse A(T,S)((2)) and its application
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. (C) 2007 Elsevier Ltd. All rights reserved.
generalized inverse a(t,s)((2)) minor determinantal representation full-rank factorization determinant