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 Sheng | 1 | 65 | 6.82 |
Guo-Liang Chen | 2 | 106 | 17.84 |