#### Document Type

Article

#### Publication Date

2002

#### Publication Title

International Journal of Mathematics and Mathematical Sciences

#### DOI

10.1155/S0161171202013169

#### ISSN

1687-0425

#### Abstract

The generalized inverse A T,S (2) 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 (2) 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 A T,S (2) 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 (2), including special cases such as the weighted Moore-Penrose inverse A M,N † and the Drazin inverse AD. Numerical examples are given to illustrate our results.

#### Recommended Citation

Li, Xiezhang, Yimin Wei.
2002.
"A Note on Computing the Generalized Inverse A^(2)_{T,S} of a Matrix A."
*International Journal of Mathematics and Mathematical Sciences*, 31 (8): 497-507.
doi: 10.1155/S0161171202013169 source: https://www.hindawi.com/journals/ijmms/2002/102515/abs/

https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/554

## Comments

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

This article was retrieved from the International Journal of Mathematics and Mathematical Sciences.