A characterization and determinantal formula for the generalized inverse AT,S(2) and its applications

摘要

In this paper, we present a characterization and determinantal formula for the generalized inverse AT,S(2). As applications, on the one hand we get the corresponding results for many common important generalized inverses such as A+, AM,N+, A(d), A# and so on; on the other hand, we apply these results to solve restricted linear equations Ax=b, x∈T.