Name
Abstract | ||
|---|---|---|
We introduce a deflation method that takes advantage of the IRA method, by extracting a GMRES solution from the Krylov basis
computed within the Arnoldi process of the IRA method itself. The deflation is well-suited because it is done with eigenvectors
associated to the eigenvalues that are closest to zero, which are approximated by IRA very quickly. By a slight modification,
we adapt it to the FOM algorithm, and then to GMRES enhanced by imposing constraints within the minimization condition. The
use of IRA enables us to reduce the number of matrix-vector products, while keeping a low storage. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1023/A:1019113630790 | Numerical Algorithms |
Keywords | Field | DocType |
restarted GMRES,restarted FOM,IRA,deflation,minimization with constraints,65F10,65F15,64N30 | Mathematical optimization,Generalized minimal residual method,Minification,Deflation,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
21 | 1 | 1572-9265 |
Citations | PageRank | References |
10 | 0.77 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| C. Le Calvez | 1 | 13 | 1.66 |
| B. Molina | 2 | 10 | 0.77 |