Research Article
A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
Table 4
Test results of the FR algorithm.
| No. | Dim | FR algorithm | NI/NF | CPU | GN |
| 1 | 3000 | 29/371 | 0.203125 | 9.84E − 06 | 9000 | 21/294 | 2.25 | 9.38E − 06 | 30000 | 12/183 | 3.984375 | 9.11E − 06 | 90000 | 5/80 | 2.09375 | 6.44E − 06 |
| 2 | 3000 | 13/50 | 0.078125 | 6.48E − 06 | 9000 | 12/46 | 0.484375 | 7.47E − 06 | 30000 | 11/42 | 0.984375 | 8.14E − 06 | 90000 | 10/38 | 1.484375 | 9.72E − 06 |
| 3 | 3000 | 19999/266078 | 194 | 1.12E − 03 | 9000 | 19999/265865 | 2918.28125 | 1.20E − 03 | 30000 | 19999/265318 | 6049.65625 | 7.84E − 04 | 90000 | 19999/266012 | 8251.859375 | 3.84E − 04 |
| 4 | 3000 | 24/72 | 0.046875 | 5.59E − 06 | 9000 | 24/72 | 0.59375 | 9.65E − 06 | 30000 | 25/75 | 1.28125 | 8.80E − 06 | 90000 | 26/78 | 3.203125 | 7.62E − 06 |
| 5 | 3000 | 62/381 | 0.21875 | 7.73E − 06 | 9000 | 69/462 | 3 | 9.20E − 06 | 30000 | 101/767 | 12.609375 | 9.75E − 06 | 90000 | 128/1215 | 26.90625 | 8.22E − 06 |
| 6 | 3000 | 26/165 | 0.109375 | 9.06E − 06 | 9000 | 21/127 | 0.90625 | 6.10E − 06 | 30000 | 22/134 | 1.9375 | 7.51E − 06 | 90000 | 22/134 | 3.359375 | 5.31E − 06 |
| 7 | 3000 | 23/70 | 0.0625 | 5.30E − 06 | 9000 | 23/70 | 0.40625 | 9.17E − 06 | 30000 | 24/73 | 1.578125 | 8.37E − 06 | 90000 | 25/76 | 1.90625 | 7.25E − 06 |
| 8 | 3000 | 1/3 | 0 | 3.19E − 08 | 9000 | 1/3 | 0.078125 | 0.00E + 00 | 30000 | 1/3 | 0.140625 | 0.00E + 00 | 90000 | 1/3 | 0.03125 | 0.00E + 00 |
| 9 | 3000 | 1248/15399 | 4.46875 | 9.91E − 06 | 9000 | 1544/19579 | 125.3125 | 9.87E − 06 | 30000 | 1175/14881 | 203.828125 | 9.96E − 06 | 90000 | 1027/13000 | 263.96875 | 9.91E − 06 |
| 10 | 3000 | 763/8892 | 2.640625 | 9.90E − 06 | 9000 | 765/8912 | 53.84375 | 9.92E − 06 | 30000 | 806/9498 | 127.421875 | 9.65E − 06 | 90000 | 1572/20089 | 423.4375 | 9.97E − 06 |
| 11 | 3000 | 373/4072 | 1.078125 | 9.98E − 06 | 9000 | 387/4226 | 24.71875 | 9.49E − 06 | 30000 | 402/4393 | 57.828125 | 9.77E − 06 | 90000 | 415/4537 | 97.296875 | 9.44E − 06 |
| 12 | 3000 | 10/36 | 0.0625 | 7.27E − 06 | 9000 | 9/31 | 0.21875 | 5.83E − 06 | 30000 | 6/19 | 0.234375 | 7.66E − 06 | 90000 | 6/19 | 0.765625 | 3.95E − 06 |
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