Name
Abstract | ||
|---|---|---|
Quasi-Minimal Residual (QMR)-type methods have been developed for improving the oscillations in the residual norms of the Bi-Conjugate Gradient (Bi-CG) method and the hybrid Bi-CG methods. The IDRstab method, which combines the Induced Dimension Reduction (IDR)(s) method with higher-order stabilizing polynomials, is often more effective than IDR(s) and the hybrid Bi-CG methods, but the residual norms oscillate. In this paper, we design a QMR variant of IDRstab by using a residual smoothing technique in order to obtain smoother convergence behavior. Numerical experiments show the effectiveness of our QMR variant of IDRstab. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.amc.2014.03.034 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Linear systems,Induced Dimension Reduction,IDRstab method,Quasi-minimal residual,Residual smoothing technique | Convergence (routing),Residual,Mathematical optimization,Dimensionality reduction,Linear system,Polynomial,Mathematical analysis,Smoothing,Mathematics | Journal |
Volume | ISSN | Citations |
236 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 12 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kensuke Aihara | 1 | 7 | 2.82 |
| Kuniyoshi Abe | 2 | 17 | 5.45 |
| Emiko Ishiwata | 3 | 34 | 9.71 |