Research Article
A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides
Table 2
Number of restarts and CPU time for Example
2;
(top) and
(bottom).
| | Gl-GMRES | Gl-CMRH | WGl-CMRH | PGl-CMRH |
| | 8,000 | 14 (1.2) | 11 (0.6) | 13 (0.7) | 2 (0.3) | | 27,000 | 26 (8.4) | 23 (5.0) | 21 (4.9) | 5 (2.3) | | 64,000 | 40 (40.7) | 32 (21.2) | 32 (22.8) | 7 (9.5) | | 125,000 | 58 (147.2) | 41 (53.3) | 47 (74.6) | 9 (23.2) | | 216,000 | 81 (298.8) | 58 (122.5) | 61 (160.7) | 17 (74.4) |
| | Gl-GMRES | Gl-CMRH | WGl-CMRH | PGl-CMRH |
| | 8,000 | 14 (1.2) | 13 (0.6) | 14 (0.7) | 2 (0.3) | | 27,000 | 25 (7.4) | 22 (4.6) | 22 (4.8) | 5 (2.4) | | 64,000 | 39 (37.0) | 32 (20.6) | 34 (23.3) | 7 (9.9) | | 125,000 | 57 (114.8) | 43 (53.6) | 48 (70.8) | 9 (23.3) | | 216,000 | 79 (313.1) | 51 (114.7) | 61 (181.0) | 17 (76.2) |
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