A Note on Computing the Generalized Inverse a ( 2 ) T , S of a Matrix A
نویسندگان
چکیده
The generalized inverse A T ,S 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 A T ,S has been recently developed with the condition σ(GA|T ) ⊂ (0,∞), where G is a matrix with R(G) = T and N(G) = S. In this note, we remove the above condition. Three types of iterative methods for A T ,S are presented if σ(GA|T ) is a subset of the open right half-plane and they are extensions of existing computational procedures of A T ,S , including special cases such as the weighted Moore-Penrose inverse AM,N and the Drazin inverse AD . Numerical examples are given to illustrate our results.
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