A note on computing the generalized inverse A T,S (2) of a matrix A
Xiezhang Li, Yimin Wei · International Journal of Mathematics and Mathematical Sciences · 2002
The generalized inverse of a matrix A is a {2}‐inverse of A with the prescribed range T and null space S. A representation for the generalized inverse has been recently developed with the condition σ (GA| T) ⊂ (0, ∞), where G is a matrix with R(G) = T andN(G) = S. In this note, we remove the above condition. Three types of iterative methods for are presented if σ(GA|T) is a subset of the open right half‐plane and they are extensions of existing computational procedures of , including special cases such as the weighted Moore‐Penrose inverse and the Drazin inverse AD. Numerical examples are given to illustrate our results.