Research Article
A Flexible Global GCRO-DR Method for Shifted Linear Systems and General Coupled Matrix Equations
Table 3
Performance comparisons for
QCD matrices.
| | Problems | Method | | GL-GCRO-DR | FGL-GCRO-DR | GL-GMRES | FGL-GMRES | GL-GMRES-DR | FGL-GMRES-DR |
| | Matrix 1 | mvps | 856 | 162 | | 220 | | 180 | | T (s) | 1.306e + 02 | 8.009e + 01 | | 9.015e + 01 | | 8.440e + 01 | | Matrix 2 | mvps | 685 | 139 | 860 | 180 | 720 | 150 | | T (s) | 8.797e + 01 | 6.363e + 01 | 8.556e + 01 | 7.391e + 01 | 9.145e + 01 | 6.868e + 01 | | Matrix 3 | mvps | 706 | 131 | 760 | 180 | 650 | 140 | | T (s) | 9.972e + 01 | 6.186e + 01 | 7.722e + 01 | 7.368e + 01 | 9.033e + 01 | 6.373e + 01 | | Matrix 4 | mvps | 695 | 150 | 740 | 180 | 720 | 160 | | T (s) | 7.931e + 01 | 7.016e + 01 | 7.570e + 01 | 7.427e + 01 | 8.130e + 01 | 7.271e + 01 | | Matrix 5 | mvps | 798 | 110 | | 140 | 800 | 120 | | T (s) | 9.341e + 01 | 5.027e + 01 | | 5.734e + 01 | 9.255e + 01 | 6.274e + 01 | | Matrix 6 | mvps | 838 | 115 | | 180 | 870 | 140 | | T (s) | 8.668e + 01 | 5.480e + 01 | | 7.211e + 01 | 9.357e + 01 | 6.274e + 01 | | Matrix 7 | mvps | 976 | 115 | | 160 | 980 | 130 | | T (s) | 1.104e + 02 | 5.082e + 01 | | 6.585e + 01 | 1.203e + 02 | 5.845e + 01 |
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