Research Article
New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems
Table 2
Numerical results for functions
to
.
| Function | Method | Iter | Sol | | | | -time (sec) |
| | NC | 8 | | | | 2.0000 | 8.6407 | | JT | 4 | | | | 4.0000 | 3.9347 | | M4 | 4 | | | | 4.0000 | 3.7813 | | M6 | 4 | | | | 6.0000 | 5.3911 | | M8 | 3 | | | | 8.0913 | 5.0065 | | PsM10 | 3 | | | | 10.0545 | 4.9061 | | PsM14 | 3 | | |
0
| 14.0702 | 6.1018 |
| | NC | 17 | | | | — | 9.2128 | | JT | 9 | | | | 4.0000 | 10.1416 | | M4 | 9 | | | | 4.0000 | 10.9104 | | M6 | 7 | | | | — | 12.3266 | | M8 | 19 | | | | — | 59.4832 | | PsM10 | 6 | | | | — | 17.9957 | | PsM14 | 5 | | |
0
| — | 22.6130 |
| | NC | 9 | | | | 2.0148 | 0.2395 | | JT | 5 | | | | 4.0279 | 0.3250 | | M4 | 5 | | | | 4.0279 | 0.1841 | | M6 | 4 | | | | 5.9048 | 0.2744 | | M8 | 3 | | | | 7.8530 | 0.3718 | | PsM10 | 3 | | | | 9.9092 | 0.4674 | | PsM14 | 3 | | | | 13.9829 | 0.3187 |
| | NC | 13 | | | | 1.9917 | 0.3713 | | JT | 7 | | | | 3.9925 | 0.4001 | | M4 | 7 | | | | 3.9925 | 0.7535 | | M6 | 8 | | | | — | 0.9382 | | M8 | >5000 | | | | | | | PsM10 | 4 | | | | — | 0.4363 | | PsM14 | 29 | | | | — | 7.8090 |
| | NC | 10 | | | | 2.0000 | 1.4675 | | JT | 5 | | | | 3.9995 | 0.3151 | | M4 | 5 | | | | 3.9995 | 0.3034 | | M6 | 4 | | | | 6.0015 | 0.3696 | | M8 | 4 | | | | 7.9993 | 0.4463 | | PsM10 | 3 | | | | 9.4708 | 0.4682 | | PsM14 | 3 | | | | 13.1659 | 0.5925 |
| | NC | 35 | | | | — | 1.4828 | | JT | 11 | | | | — | 0.7781 | | M4 | 11 | | | | — | 0.7535 | | M6 | 9 | | | | — | 0.8001 | | M8 | n.c. | | | | | | | PsM10 | 5 | | | | — | 0.6352 | | PsM14 | 8 | | |
0
| — | 1.1870 |
| | NC | 10 | | | | 1.9995 | 2.3263 | | JT | 5 | | | | 4.0066 | 0.5296 | | M4 | 5 | | | | 4.0066 | 0.6340 | | M6 | 4 | | | | 5.9750 | 0.7443 | | M8 | 4 | | | | — | 0.8282 | | PsM10 | 3 | | | | 9.6674 | 0.8100 | | PsM14 | 3 | | | | 13.9954 | 1.0465 |
| | NC | 12 | | | | 1.9996 | 2.7271 | | JT | 6 | | | | 4.0090 | 0.7761 | | M4 | 6 | | | | 4.0090 | 1.0301 | | M6 | 5 | | | | — | 1.0090 | | M8 | 15 | | | | — | 3.4007 | | PsM10 | 4 | | | | — | 1.0245 | | PsM14 | 7 | | | | — | 1.8179 |
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