A Full-rank Representation of Generalized Inverse A_(T,S)~(2) of Linear Operator and Its Application

摘要

Let H_1 and H_2 be Hilbert spaces. In this paper, by using different view from [4], we derive a new full-rank representations of generalized inverses A_(T,S)~(2) of bounded operator A ∈B(H_1,H_2). As an application, a new algorithm for computing the generalized inverses of a matrix by directly using its related submatrices is considered.