Abstract | ||
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An iteration method for the matrix equation AX = B is constructed. By this iteration method, the least-norm solution for the matrix equation can be obtained when the matrix equation is consistent and the least-norm least-squares solutions can be obtained when the matrix equation is not consistent. The related optimal approximation solution is also obtained by this iteration method. A preconditioned method for improving the iteration rate is put forward. Finally, some numerical examples are given. © 2006 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1016/j.amc.2006.09.059 | Applied Mathematics and Computation |
Keywords | Field | DocType |
iteration method,matrix equation,optimal approximation | Rayleigh quotient iteration,Mathematical optimization,Modified Richardson iteration,Preconditioner,Mathematical analysis,Matrix difference equation,Fixed-point iteration,Eigendecomposition of a matrix,Mathematics,Matrix differential equation,Power iteration | Journal |
Volume | Issue | ISSN |
187 | 2 | null |
Citations | PageRank | References |
10 | 0.77 | 1 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Guo Konghua | 1 | 10 | 0.77 |
Xiyan Hu | 2 | 121 | 25.32 |
Lei Zhang | 3 | 68 | 8.33 |