A note on computing the generalized inverse A   T, S   ( 2 ) of a matrix A

Xiezhang Li and Yimin Wei

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-11

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   ( G A |   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   ( 2 ) are presented if σ ( G A | 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 A D . Numerical examples are given to illustrate our results.

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/31/102515.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/31/102515.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:102515

DOI: 10.1155/S0161171202013169

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().