Title
An oblique projection iterative method to compute Drazin inverse and group inverse
Abstract
In this paper, an oblique projection iterative method is presented to compute matrix equation AXA=A of a square matrix A with ind(A)=1. By this iterative method, when taken the initial matrix X"0=A, the group inverse A"g can be obtained in absence of the roundoff errors. If we use this iterative method to the matrix equation A^kXA^k=A^k, a group inverse (A^k)"g of matrix A^k is got, then we use the formulae A"d=A^k^-^1(A^k)"g, the Drazin inverse A"d can be obtained.
Year
DOI
Venue
2009
10.1016/j.amc.2009.01.066
Applied Mathematics and Computation
Keywords
Field
DocType
iterative method,drazin inverse,group inverse,oblique projection,matrix equation,iteration method
Oblique projection,Inverse,Mathematical optimization,Iterative method,Matrix (mathematics),Mathematical analysis,Square matrix,Drazin inverse,Matrix method,Mathematics,Matrix group
Journal
Volume
Issue
ISSN
211
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
0
0.34
7
Authors
2
Name
Order
Citations
PageRank
Xingping Sheng1656.82
Guo-Liang Chen210617.84