In this paper, we present a characterization and determinantal formula for
the generalized inverse A(T,S)((2)). As applications, on the one hand we ge
t the corresponding results for many common important generalized inverses
such as A(+), A(M,N)(+), A((d)), A(#) and so on; on the other hand, we appl
y these results to solve restricted linear equations Ax = b, x is an elemen
t of T. (C) 2002 Elsevier Science Inc. All rights reserved.