Research Article
Parallel Rayleigh Quotient Optimization with FSAI-Based Preconditioning
Table 6
Number of iterations, timings, and scalability of LOBPCG-hypre preconditioned by Parasails.
| | | iter | | | | | |
| FAULT-639 pcgitr | 4 | 155 | 2.5 | 331.2 | 333.7 | | | 8 | 156 | 1.3 | 167.6 | 168.9 | 7.9 | 0.99 | 16 | 156 | 0.8 | 79.5 | 80.3 | 16.6 | 1.04 | 32 | 150 | 0.5 | 38.8 | 39.3 | 34.0 | 1.06 | 64 | 145 | 0.3 | 22.2 | 22.5 | 59.4 | 0.93 | 128 | 157 | 0.1 | 14.8 | 14.9 | 89.7 | 0.70 |
| PO-878 pcgitr = 30 | 4 | 45 | 3.3 | 438.4 | 441.7 | | | 8 | 50 | 1.3 | 232.3 | 234.0 | 7.6 | 0.94 | 16 | 45 | 1.0 | 117.0 | 118.0 | 15.0 | 0.94 | 32 | 45 | 0.7 | 63.2 | 63.9 | 27.6 | 0.86 | 64 | 47 | 0.4 | 34.4 | 34.8 | 50.8 | 0.79 | 128 | 41 | 0.3 | 19.44 | 19.74 | 89.5 | 0.70 |
| GEO-1438 pcgitr = 30 | 4 | 26 | 7.7 | 478.0 | 485.7 | | | 8 | 22 | 4.0 | 256.8 | 260.8 | 7.5 | 0.93 | 16 | 23 | 2.1 | 123.7 | 125.8 | 15.4 | 0.96 | 32 | 28 | 1.2 | 73.1 | 74.3 | 26.2 | 0.82 | 64 | 23 | 0.8 | 35.5 | 36.3 | 53.5 | 0.84 | 128 | 25 | 0.5 | 20.3 | 20.8 | 93.2 | 0.73 | 256 | 26 | 0.3 | 12.9 | 13.2 | 147.2 | 0.57 |
| | | iter | | | | | |
| CUBE-6091 | 16 | 38 | 9.2 | 1536.7 | 1545.9 | | | 32 | 36 | 4.7 | 807.5 | 812.2 | 30.5 | 0.95 | 64 | 38 | 3.2 | 408.2 | 411.4 | 60.1 | 0.94 | 128 | 41 | 1.6 | 251.4 | 253.0 | 97.8 | 0.76 | 256 | 35 | 0.9 | 105.9 | 106.8 | 231.6 | 0.90 | 512 | 39 | 0.6 | 65.3 | 65.9 | 375.3 | 0.73 | 1024 | 37 | 0.3 | 37.7 | 38.0 | 650.9 | 0.64 |
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