Research Article
An Accelerated Conjugate Gradient Algorithm for Solving Nonlinear Monotone Equations and Image Restoration Problems
Table 3
Test results of the LS algorithm.
| No. | Dim | LS algorithm | NI/NF | CPU | GN |
| 1 | 3000 | 174/175 | 0.982806 | 9.96E − 06 | 9000 | 94/95 | 0.670804 | 9.88E − 06 | 30000 | 60/61 | 1.107607 | 9.93E − 06 | 90000 | 41/42 | 1.248008 | 9.97E − 06 |
| 2 | 3000 | 61/1405 | 1.762811 | 9.85E − 06 | 9000 | 34/916 | 3.05762 | 9.98E − 06 | 30000 | 15/470 | 3.946825 | 9.46E − 06 | 90000 | 13/456 | 6.864044 | 9.12E − 06 |
| 3 | 3000 | 19999/21506 | 125.721206 | 1.43E − 05 | 9000 | 19999/23222 | 351.267452 | 1.44E − 05 | 30000 | 19999/27153 | 634.003664 | 2.24E − 05 | 90000 | 19999/34389 | 1582.942147 | 1.76E − 05 |
| 4 | 3000 | 75/666 | 1.185608 | 7.17E − 06 | 9000 | 118/1331 | 6.24004 | 6.87E − 06 | 30000 | 202/2813 | 30.186194 | 7.82E − 06 | 90000 | 338/5467 | 96.159016 | 7.65E − 06 |
| 5 | 3000 | 136/1145 | 1.404009 | 8.63E − 06 | 9000 | 150/1358 | 4.305628 | 9.81E − 06 | 30000 | 171/1806 | 16.801308 | 5.69E − 06 | 90000 | 234/2865 | 42.08907 | 9.58E − 06 |
| 6 | 3000 | 109/1695 | 2.698817 | 7.38E − 06 | 9000 | 147/2694 | 11.263272 | 8.98E − 06 | 30000 | 235/4934 | 47.502305 | 8.67E − 06 | 90000 | 364/8724 | 147.062143 | 7.57E − 06 |
| 7 | 3000 | 69/400 | 0.530403 | 6.22E − 06 | 9000 | 94/765 | 2.948419 | 3.29E − 06 | 30000 | 142/1590 | 15.085297 | 1.79E − 06 | 90000 | 217/3070 | 50.450723 | 4.55E − 07 |
| 8 | 3000 | 1/2 | 0.0624 | 0.00E + 00 | 9000 | 1/2 | 0.000001 | 0.00E + 00 | 30000 | 1/2 | 0.0468 | 0.00E + 00 | 90000 | 1/2 | 0.0156 | 0.00E + 00 |
| 9 | 3000 | 5643/107964 | 117.484353 | 9.84E − 06 | 9000 | 6131/128776 | 373.934397 | 9.86E − 06 | 30000 | 6997/169540 | 1461.323767 | 9.99E − 06 | 90000 | 8449/239554 | 3276.130201 | 9.88E − 06 |
| 10 | 3000 | 4171/55825 | 65.47362 | 9.93E − 06 | 9000 | 4213/58137 | 183.113974 | 1.00E − 05 | 30000 | 4616/67344 | 608.747102 | 9.88E − 06 | 90000 | 4965/79166 | 1150.008172 | 9.92E − 06 |
| 11 | 3000 | 3484/49132 | 52.073134 | 9.92E − 06 | 9000 | 371/5921 | 16.504906 | 9.85E − 06 | 30000 | 3625/52579 | 454.727315 | 9.93E − 06 | 90000 | 3802/57077 | 801.049535 | 9.87E − 06 |
| 12 | 3000 | 194/199 | 0.109201 | 9.96E − 06 | 9000 | 194/199 | 0.405603 | 9.96E − 06 | 30000 | 194/199 | 0.998406 | 9.96E − 06 | 90000 | 194/199 | 2.776818 | 9.96E − 06 |
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