| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632586 | Applied Mathematics and Computation | 2009 | 5 Pages |
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 X0=A, the group inverse Ag can be obtained in absence of the roundoff errors. If we use this iterative method to the matrix equation AkXAk=Ak, a group inverse (Ak)g of matrix Ak is got, then we use the formulae Ad=Ak-1(Ak)g, the Drazin inverse Ad can be obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xingping Sheng, Guoliang Chen,