Research Article
Modified Three-Term Liu–Storey Conjugate Gradient Method for Solving Unconstrained Optimization Problems and Image Restoration Problems
Table 3
Test results of the LS-WWP algorithm.
| Nr | Dim | LS-WWP | NI | NFG | CPU |
| 1 | 3000 | 1000 | 5998 | 20.5625 | 1 | 6000 | 1000 | 5986 | 39.26563 | 1 | 9000 | 1000 | 5986 | 52.96875 | 2 | 3000 | 63 | 228 | 0.375 | 2 | 6000 | 66 | 231 | 0.765625 | 2 | 9000 | 61 | 223 | 1.046875 | 3 | 3000 | 325 | 1076 | 0.3125 | 3 | 6000 | 1000 | 5206 | 1.828125 | 3 | 9000 | 1000 | 5685 | 2.65625 | 4 | 3000 | 1000 | 5934 | 11.5 | 4 | 6000 | 1000 | 5835 | 22.32813 | 4 | 9000 | 1000 | 5841 | 31.6875 | 5 | 3000 | 132 | 819 | 0.4375 | 5 | 6000 | 133 | 826 | 0.765625 | 5 | 9000 | 134 | 832 | 1.203125 | 6 | 3000 | 48 | 198 | 0.125 | 6 | 6000 | 51 | 207 | 0.125 | 6 | 9000 | 43 | 202 | 0.1875 | 7 | 3000 | 1000 | 5994 | 1.71875 | 7 | 6000 | 1000 | 5994 | 3 | 7 | 9000 | 1000 | 5994 | 4.375 | 8 | 3000 | 33 | 136 | 0.125 | 8 | 6000 | 33 | 136 | 0.125 | 8 | 9000 | 32 | 130 | 0.140625 | 9 | 3000 | 4 | 19 | 0.0625 | 9 | 6000 | 4 | 19 | 0 | 9 | 9000 | 4 | 19 | 0.0625 | 10 | 3000 | 2 | 9 | 0 | 10 | 6000 | 2 | 9 | 0 | 10 | 9000 | 2 | 9 | 0.0625 | 11 | 3000 | 1000 | 3001 | 2.671875 | 11 | 6000 | 1000 | 3001 | 5.046875 | 11 | 9000 | 1000 | 3001 | 7.828125 | 12 | 3000 | 18 | 105 | 0.125 | 12 | 6000 | 19 | 111 | 0.25 | 12 | 9000 | 19 | 111 | 0.359375 | 13 | 3000 | 3 | 13 | 0 | 13 | 6000 | 13 | 66 | 0.1875 | 13 | 9000 | 2 | 9 | 0 | 14 | 3000 | 6 | 33 | 0.1875 | 14 | 6000 | 5 | 27 | 0.265625 | 14 | 9000 | 5 | 27 | 0.28125 | 15 | 3000 | 1000 | 3010 | 19 | 15 | 6000 | 1000 | 3010 | 29.40625 | 15 | 9000 | 1000 | 3010 | 35.84375 | 16 | 3000 | 22 | 72 | 0.0625 | 16 | 6000 | 15 | 84 | 0.125 | 16 | 9000 | 15 | 81 | 0.15625 | 17 | 3000 | 74 | 432 | 1.625 | 17 | 6000 | 74 | 432 | 2.96875 | 17 | 9000 | 74 | 432 | 4.046875 | 18 | 3000 | 7 | 42 | 0.0625 | 18 | 6000 | 8 | 48 | 0 | 18 | 9000 | 8 | 48 | 0.0625 | 19 | 3000 | 4 | 18 | 0 | 19 | 6000 | 4 | 18 | 0.0625 | 19 | 9000 | 4 | 18 | 0.09375 | 20 | 3000 | 14 | 74 | 0 | 20 | 6000 | 14 | 74 | 0.046875 | 20 | 9000 | 14 | 74 | 0.0625 | 21 | 3000 | 45 | 150 | 0.0625 | 21 | 6000 | 21 | 111 | 0.125 | 21 | 9000 | 20 | 111 | 0.171875 | 22 | 3000 | 12 | 58 | 0 | 22 | 6000 | 12 | 58 | 0.125 | 22 | 9000 | 12 | 58 | 0.09375 | 23 | 3000 | 1000 | 5959 | 11.54688 | 23 | 6000 | 1000 | 5959 | 22.4375 | 23 | 9000 | 1000 | 5959 | 31.98438 | 24 | 3000 | 59 | 313 | 0.1875 | 24 | 6000 | 62 | 274 | 0.3125 | 24 | 9000 | 7 | 46 | 0.0625 | 25 | 3000 | 33 | 98 | 0.0625 | 25 | 6000 | 44 | 131 | 0.0625 | 25 | 9000 | 1000 | 3073 | 1.921875 | 26 | 3000 | 51 | 194 | 0.125 | 26 | 6000 | 50 | 188 | 0.25 | 26 | 9000 | 50 | 188 | 0.375 | 27 | 3000 | 1000 | 3013 | 1.15625 | 27 | 6000 | 1000 | 3013 | 2.1875 | 27 | 9000 | 1000 | 3013 | 3.140625 | 28 | 3000 | 92 | 503 | 0.0625 | 28 | 6000 | 92 | 503 | 0.1875 | 28 | 9000 | 92 | 503 | 0.1875 | 29 | 3000 | 3 | 15 | 0 | 29 | 6000 | 3 | 15 | 0 | 29 | 9000 | 3 | 15 | 0 | 30 | 3000 | 1000 | 5994 | 1.28125 | 30 | 6000 | 1000 | 5994 | 2.453125 | 30 | 9000 | 1000 | 5994 | 3.328125 | 31 | 3000 | 10 | 51 | 0 | 31 | 6000 | 12 | 64 | 0.0625 | 31 | 9000 | 12 | 64 | 0.0625 | 32 | 3000 | 10 | 52 | 0.0625 | 32 | 6000 | 1000 | 5935 | 5.921875 | 32 | 9000 | 10 | 54 | 0.0625 | 33 | 3000 | 3 | 9 | 0.0625 | 33 | 6000 | 3 | 9 | 0 | 33 | 9000 | 2 | 6 | 0 | 34 | 3000 | 3 | 15 | 0 | 34 | 6000 | 7 | 20 | 0 | 34 | 9000 | 8 | 23 | 0.0625 | 35 | 3000 | 15 | 44 | 0 | 35 | 6000 | 19 | 56 | 0.046875 | 35 | 9000 | 21 | 62 | 0.0625 | 36 | 3000 | 1000 | 5988 | 17.95313 | 36 | 6000 | 1000 | 5997 | 32.17188 | 36 | 9000 | 1000 | 5991 | 43.54688 | 37 | 3000 | 1000 | 5991 | 2.0625 | 37 | 6000 | 1000 | 5988 | 3.84375 | 37 | 9000 | 1000 | 5988 | 5.421875 | 38 | 3000 | 6 | 31 | 0 | 38 | 6000 | 6 | 31 | 0 | 38 | 9000 | 6 | 31 | 0 | 39 | 3000 | 42 | 125 | 0 | 39 | 6000 | 44 | 131 | 0.125 | 39 | 9000 | 46 | 137 | 0.09375 | 40 | 3000 | 1000 | 5982 | 25.26563 | 40 | 6000 | 1000 | 5898 | 41.26563 | 40 | 9000 | 1000 | 5867 | 55.25 | 41 | 3000 | 1000 | 3003 | 0.96875 | 41 | 6000 | 1000 | 3003 | 1.640625 | 41 | 9000 | 1000 | 3003 | 2.421875 | 42 | 3000 | 6 | 26 | 0 | 42 | 6000 | 6 | 26 | 0.0625 | 42 | 9000 | 7 | 32 | 0.0625 | 43 | 3000 | 8 | 46 | 0.25 | 43 | 6000 | 8 | 46 | 0.4375 | 43 | 9000 | 8 | 46 | 0.5625 | 44 | 3000 | 12 | 68 | 0.328125 | 44 | 6000 | 11 | 62 | 0.46875 | 44 | 9000 | 11 | 62 | 0.6875 | 45 | 3000 | 9 | 50 | 0.25 | 45 | 6000 | 9 | 50 | 0.375 | 45 | 9000 | 9 | 50 | 0.5625 | 46 | 3000 | 563 | 3367 | 16.0625 | 46 | 6000 | 708 | 4237 | 33.29688 | 46 | 9000 | 812 | 4864 | 51.15625 | 47 | 3000 | 144 | 435 | 11.59375 | 47 | 6000 | 293 | 882 | 72.65625 | 47 | 9000 | 446 | 1341 | 230.6875 | 48 | 3000 | 51 | 294 | 0.8125 | 48 | 6000 | 50 | 288 | 1.5 | 48 | 9000 | 50 | 288 | 2.078125 | 49 | 3000 | 1000 | 5994 | 1.296875 | 49 | 6000 | 1000 | 5994 | 2.328125 | 49 | 9000 | 1000 | 5994 | 3.359375 | 50 | 3000 | 1000 | 5994 | 17.14063 | 50 | 6000 | 1000 | 5994 | 31.34375 | 50 | 9000 | 1000 | 5994 | 41.54688 | 51 | 3000 | 14 | 50 | 0.1875 | 51 | 6000 | 13 | 47 | 0.375 | 51 | 9000 | 13 | 47 | 0.40625 | 52 | 3000 | 39 | 208 | 0.25 | 52 | 6000 | 42 | 224 | 0.5 | 52 | 9000 | 43 | 227 | 0.71875 | 53 | 3000 | 1000 | 3003 | 0.9375 | 53 | 6000 | 1000 | 3003 | 1.609375 | 53 | 9000 | 1000 | 3003 | 2.453125 | 54 | 3000 | 1000 | 5955 | 1.4375 | 54 | 6000 | 1000 | 5958 | 2.59375 | 54 | 9000 | 1000 | 5955 | 3.96875 | 55 | 3000 | 6 | 32 | 0.0625 | 55 | 6000 | 6 | 32 | 0.1875 | 55 | 9000 | 6 | 32 | 0.1875 | 56 | 3000 | 1000 | 2999 | 1.0625 | 56 | 6000 | 1000 | 2999 | 2.0625 | 56 | 9000 | 1000 | 2999 | 2.75 | 57 | 3000 | 9 | 50 | 0.25 | 57 | 6000 | 9 | 50 | 0.375 | 57 | 9000 | 9 | 50 | 0.578125 | 58 | 3000 | 53 | 314 | 1.546875 | 58 | 6000 | 45 | 266 | 2.1875 | 58 | 9000 | 41 | 242 | 2.734375 | 59 | 3000 | 8 | 44 | 0.25 | 59 | 6000 | 8 | 44 | 0.328125 | 59 | 9000 | 8 | 44 | 0.5 | 60 | 3000 | 563 | 3367 | 16.15625 | 60 | 6000 | 710 | 4252 | 33.78125 | 60 | 9000 | 1000 | 3013 | 43.10938 | 61 | 3000 | 9 | 50 | 0.25 | 61 | 6000 | 9 | 50 | 0.390625 | 61 | 9000 | 9 | 50 | 0.53125 | 62 | 3000 | 6 | 32 | 0.140625 | 62 | 6000 | 6 | 32 | 0.3125 | 62 | 9000 | 6 | 32 | 0.296875 | 63 | 3000 | 6 | 32 | 0.125 | 63 | 6000 | 6 | 32 | 0.265625 | 63 | 9000 | 5 | 26 | 0.265625 | 64 | 3000 | 8 | 44 | 0.1875 | 64 | 6000 | 8 | 44 | 0.328125 | 64 | 9000 | 8 | 44 | 0.5625 | 65 | 3000 | 10 | 46 | 0.1875 | 65 | 6000 | 10 | 46 | 0.34375 | 65 | 9000 | 9 | 43 | 0.453125 | 66 | 3000 | 1000 | 5989 | 16.51563 | 66 | 6000 | 1000 | 5989 | 29.70313 | 66 | 9000 | 1000 | 5989 | 40.28125 | 67 | 3000 | 27 | 108 | 0.0625 | 67 | 6000 | 18 | 78 | 0.109375 | 67 | 9000 | 21 | 112 | 0.9375 | 68 | 3000 | 45 | 136 | 0 | 68 | 6000 | 47 | 142 | 0.0625 | 68 | 9000 | 48 | 145 | 0.0625 | 69 | 3000 | 36 | 114 | 0.046875 | 69 | 6000 | 37 | 117 | 0.046875 | 69 | 9000 | 37 | 117 | 0.0625 | 70 | 3000 | 1000 | 3701 | 14.15625 | 70 | 6000 | 1000 | 3125 | 23.60938 | 70 | 9000 | 1000 | 3188 | 31.20313 | 71 | 3000 | 1000 | 5996 | 1.375 | 71 | 6000 | 1000 | 5996 | 2.546875 | 71 | 9000 | 1000 | 5996 | 3.71875 | 72 | 3000 | 1000 | 3010 | 82 | 72 | 6000 | 1000 | 3010 | 246.3281 | 72 | 9000 | 1000 | 3010 | 519.7656 | 73 | 3000 | 1000 | 5994 | 1.3125 | 73 | 6000 | 1000 | 5994 | 2.46875 | 73 | 9000 | 1000 | 5994 | 3.375 | 74 | 3000 | 1000 | 5997 | 1.25 | 74 | 6000 | 1000 | 5997 | 2.390625 | 74 | 9000 | 1000 | 5994 | 3.21875 |
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