Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627873 | Applied Mathematics and Computation | 2014 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata,