Name
Title | ||
|---|---|---|
A block GMRES method with deflated restarting for solving linear systems with multiple shifts and multiple right-hand sides. |
Abstract | ||
|---|---|---|
The restarted block generalized minimum residual method (BGMRES) with deflated restarting (BGMRES-DR) was proposed by Morgan to dump the negative effect of small eigenvalues from the convergence of the BGMRES method. More recently, Wu et al. introduced the shifted BGMRES method (BGMRES-Sh) for solving the sequence of linear systems with multiple shifts and multiple right-hand sides. In this paper, a new shifted block Krylov subspace algorithm that combines the characteristics of both the BGMRES-DR and the BGMRES-Sh methods is proposed. Moreover, our method is enhanced with a seed selection strategy to handle the case of almost linear dependence of the right-hand sides. Numerical experiments illustrate the potential of the proposed method to solve efficiently the sequence of linear systems with multiple shifts and multiple right-hand sides, with and without preconditioner, also against other state-of-the-art solvers. |
Year | Venue | Field |
|---|---|---|
2018 | Numerical Lin. Alg. with Applic. | Convergence (routing),Krylov subspace,Applied mathematics,Residual,PageRank,Mathematical optimization,Linear system,Preconditioner,Generalized minimal residual method,Mathematics,Eigenvalues and eigenvectors |
DocType | Volume | Issue |
Journal | 25 | 5 |
Citations | PageRank | References |
2 | 0.36 | 29 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dong-Lin Sun | 1 | 8 | 1.80 |
| Ting-Zhu Huang | 2 | 851 | 101.81 |
| Yan-Fei Jing | 3 | 67 | 9.48 |
| Bruno Carpentieri | 4 | 256 | 32.41 |