The generalized inverse A (2) T and its applications
Cao Chong-guang, Xian Zhang · 2003
The existence and representations of some generalized inverses, including AT,*(2), AT,*(1,2), AT,*(2,3), A*,S(2), A*,S(1,2), and A*,S(2,4), are showed. As applications, the perturbation theory for the generalized inverse AT,S(2) and the perturbation bound for unique solution of the general restricted system Ax = b (dim(AT) =dimT, b ∈ AT and x ∈ T) are studied. Moreover, a characterization and representation of the generalized inverse AT,*,(2) is obtained.