Table 3
The convergence of the s-step BiCGStab, split orthonormalized s-step BiCGStab and their modified versions with monomial basis, for different s values, compared to BiCGStab. The s-Step Iterations (SI) and the Total Iterations (TI) are shown. The number of total iterations is equal to the number of s-step iterations times s.
Matrix | BiCGStab |
s |
s-Step |
Split ortho s-step |
Modified s-step |
Modified split ortho s-step |
||||
---|---|---|---|---|---|---|---|---|---|---|
TI | SI | TI | SI | TI | SI | TI | SI | TI | ||
2 | 99 | 198 | 91 | 182 | 89 | 178 | 90 | 180 | ||
3 | 61 | 183 | 62 | 186 | 59 | 177 | 61 | 183 | ||
GCS2K | 193 | 4 | 45 | 180 | 47 | 188 | 46 | 184 | 50 | 200 |
5 | 41 | 205 | 41 | 205 | 38 | 190 | 38 | 190 | ||
6 | 34 | 204 | 33 | 198 | 36 | 216 | 35 | 210 | ||
2 | 2813 | 5626 | 1266 | 2532 | 1980 | 3960 | 1566 | 3132 | ||
3 | 1065 | 3195 | 1240 | 3720 | 1924 | 5772 | 1013 | 3039 | ||
CantaF3 | 4472 | 4 | 5510 | 22 040 | 801 | 3204 | 4824 | 19 296 | 947 | 3788 |
5 | 1228 | 6140 | 3612 | 18 060 | 2658 | 13 290 | 774 | 3870 | ||
6 | 662 | 3972 | 1079 | 6474 | 623 | 3738 | 1072 | 6432 | ||
2 | 2438 | 4876 | 1682 | 3364 | 2144 | 4288 | 1829 | 3658 | ||
3 | 1756 | 5268 | 1345 | 4035 | 1712 | 5136 | 1200 | 3600 | ||
SPE10 | 4744 | 4 | 1215 | 4860 | 752 | 3008 | 1137 | 4548 | 862 | 3448 |
5 | 1032 | 5160 | 752 | 3760 | 1021 | 5105 | 567 | 2835 | ||
6 | 758 | 4548 | 506 | 3036 | 856 | 5136 | 548 | 3288 | ||
2 | 1867 | 3734 | 1778 | 3556 | 1721 | 3442 | 2571 | 5142 | ||
3 | 1249 | 3747 | 1288 | 3864 | 1568 | 4704 | 1158 | 3474 | ||
HIS | 4721 | 4 | 1631 | 6524 | 1213 | 4852 | 1107 | 4428 | 1100 | 4400 |
5 | 1013 | 5065 | 1007 | 5035 | 808 | 4040 | 869 | 4345 | ||
6 | 699 | 4194 | 624 | 3744 | 685 | 4110 | 676 | 4056 |