Full-rank representation of generalized inverse AT,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 A , which is based on an arbitrary full-rank decomposition of G G , where G G is a matrix such that R(G)=T R ( G ) = T and N(G)=S 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.
generalized inverse a t s ( 2 ) minor determinantal representation s ( 2 ) a t full-rank factorization determinant