Research Article
An Accelerated Conjugate Gradient Algorithm for Solving Nonlinear Monotone Equations and Image Restoration Problems
Table 2
Test results of the TTPRP algorithm.
| No. | Dim | TTPRP algorithm | NI/NF | CPU | GN |
| 1 | 3000 | 129/130 | 0.436803 | 9.97E − 06 | 9000 | 89/90 | 0.873606 | 9.96E − 06 | 30000 | 59/60 | 1.232408 | 9.96E − 06 | 90000 | 41/42 | 1.435209 | 9.73E − 06 |
| 2 | 3000 | 46/1055 | 1.435209 | 9.99E − 06 | 9000 | 10/267 | 0.951606 | 6.76E − 06 | 30000 | 9/278 | 2.667617 | 9.83E − 06 | 90000 | 8/279 | 4.040426 | 9.00E − 06 |
| 3 | 3000 | 17401/18908 | 109.481502 | 9.98E − 06 | 9000 | 19999/23227 | 355.089476 | 1.37E − 05 | 30000 | 19431/26598 | 612.241525 | 9.99E − 06 | 90000 | 19999/34409 | 1542.678289 | 2.56E − 05 |
| 4 | 3000 | 70/662 | 1.123207 | 3.49E − 06 | 9000 | 113/1326 | 6.099639 | 2.14E − 06 | 30000 | 196/2809 | 28.766584 | 6.47E − 07 | 90000 | 334/5473 | 101.884253 | 3.11E − 06 |
| 5 | 3000 | 54/464 | 0.514803 | 3.38E − 06 | 9000 | 72/711 | 2.152814 | 3.75E − 06 | 30000 | 100/1225 | 10.99807 | 7.38E − 06 | 90000 | 160/2256 | 31.403001 | 5.61E − 06 |
| 6 | 3000 | 84/1417 | 2.246414 | 6.94E − 06 | 9000 | 127/2473 | 10.311666 | 9.41E − 06 | 30000 | 211/4669 | 45.349491 | 8.60E − 06 | 90000 | 346/8524 | 141.773709 | 8.53E − 06 |
| 7 | 3000 | 45/366 | 0.546003 | 2.67E − 06 | 9000 | 68/729 | 2.808018 | 1.23E − 06 | 30000 | 117/1558 | 14.617294 | 8.34E − 07 | 90000 | 195/3039 | 48.219909 | 7.08E − 07 |
| 8 | 3000 | 1/2 | 0.0624 | 0.00E + 00 | 9000 | 1/2 | 0.000001 | 0.00E + 00 | 30000 | 1/2 | 0.0624 | 0.00E + 00 | 90000 | 1/2 | 0.0624 | 0.00E + 00 |
| 9 | 3000 | 6521/123863 | 139.277693 | 9.81E − 06 | 9000 | 6827/141140 | 425.679929 | 9.97E − 06 | 30000 | 7711/182289 | 1559.916399 | 9.99E − 06 | 90000 | 9107/251132 | 3460.398582 | 9.85E − 06 |
| 10 | 3000 | 4904/65319 | 77.750898 | 1.00E − 05 | 9000 | 5271/71854 | 229.820673 | 9.73E − 06 | 30000 | 5280/75948 | 689.150018 | 9.97E − 06 | 90000 | 5655/88105 | 1269.302137 | 9.99E − 06 |
| 12 | 3000 | 300/4529 | 4.898431 | 9.88E − 06 | 9000 | 387/6163 | 17.846514 | 9.61E − 06 | 30000 | 472/8397 | 72.836867 | 9.83E − 06 | 90000 | 620/12490 | 168.652681 | 9.27E − 06 |
| 13 | 3000 | 193/198 | 0.124801 | 9.99E − 06 | 9000 | 193/198 | 0.405603 | 9.99E − 06 | 30000 | 193/198 | 0.826805 | 9.99E − 06 | 90000 | 193/198 | 2.589617 | 9.99E − 06 |
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