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Numerical results of the CG_DESCENT method? “CG-DESCENT” stands for the CG-DESCENT method with the Wolfe line search. Here we utilize the source code Fortran 77 Version 1.4 (November 14,2005) on Hager’s web page and parameters ρ = 0.001,σ = 0.4. Other parameters are set as default. This numerical result can be found on Table 2, Page 628-629 in [Z.-F. Dai, B.-S. Tian, Global convergence of some modified PRP nonlinear conjugate gradient methods, Optimization Letters, 5 (2011) 615-630], Table 2 Test results of the CG-DESCENT method with Wolfe line search Prob Dim ||g||∞ Time Iter Nfun Ngrad Fun-value 1 10,000 0.415E-11 0.0312 14 31 23 244,921 2 10,000 0.955E-06 0.7020 84 169 85 2.87E-08 3 10,000 0.552E-09 0.0312 27 89 69 1.47E-18 4 10,000 0.216E-06 0.0312 28 78 54 2.73E-10 5 10,000 0.828E-06 0.0156 14 29 16 3.96E-10 6 10,000 0.432E-06 0.0312 39 77 42 9,453.24 7 10,000 0.971E-06 0.4992 556 1,113 557 1.95E-13 8 10,000 0.987E-06 2.1372 697 969 1,124 5,000,500 9 10,000 0.696E-06 0.0312 4 9 5 10,000 10 10,000 0.988E-06 4.2120 894 1,127 1,557 -385558071 11 9,998 0.800E-06 2.9328 576 1,163 726 52.1283 12 10,000 0.993E-06 5.4756 752 958 1,300 -49956984 13 10,000 0.953E-06 0.4836 84 135 131 -2181405 14 10,000 0.972E-06 0.0312 22 39 29 9,997.2 15 10,000 0.696E-07 0.0156 13 28 17 1.78E-07 16 10,000 0.302E-06 0.0780 7 16 9 12,796.3 17 10,000 0.884E-06 0.0780 45 88 49 1.11485 18 10,000 0.305E-07 0.0000 3 7 5 2.33E-12 19 10,000 0.103E-06 0.0468 2 6 4 6,931.47 20 10,000 0.131E-07 0.0156 8 21 14 1.08E-14 21 10,000 0.968E-06 2.9796 509 888 1,080 9,998.72 22 10,000 0.756E-10 0.0624 12 26 15 3,865.99 23 10,000 0.664E-06 0.0468 52 106 58 2.40E-08 24 10,000 0.724E-06 0.1092 17 48 41 8.12E-11 25 10,000 0.868E-06 0.0468 38 122 97 -5003.12 26 10,000 0.375E-07 0.1560 31 76 46 998.93 27 10,000 0.998E-06 0.3120 306 613 376 4.68E-11 28 10,000 0.896E-06 0.2496 273 584 333 3.91E-10 29 10,000 0.665E-06 0.0624 59 186 144 8.48E-11 30 10,000 0.975E-06 0.4212 558 1,117 559 -4.99E-05 31 10,000 0.225E-08 0.0156 17 35 21 39,990 32 10,000 0.239E-06 0.2964 33 111 86 3.61E-17 33 10,000 0.991E-06 0.8736 1,090 2,004 1,277 -1.00001 34 10,000 0.489E-14 0.0000 3 7 5 79,317.6 35 10,000 0.793E-06 0.0312 33 61 52 3,896.90 36 10,000 0.979E-06 9.2509 4,407 9,215 10,247 40,034.3 37 10,000 0.963E-06 1.0296 1,115 2,231 1,116 4.28E-15 38 10,000 0.334E-11 0.0156 10 23 16 0.0000 39 10,000 0.987E-06 0.0312 11 32 26 8.88E-18 40 10,000 0.304E-06 11.669 10,020 20,080 10,527 2.45E-07 Prob Dim ||g||∞ Time Iter Nfun Ngrad Fun-value 41 10,000 0.529E-06 0.0156 7 15 8 7.10E-14 42 10,000 0.327E-06 0.4056 61 188 178 -9999.5 43 10,000 0.885E-08 0.0312 9 19 10 1.0000 44 10,000 0.194E-06 0.0312 7 20 14 1.0000 45 10,000 0.217E-06 0.0312 8 23 16 1.0000 46 10,000 0.999E-06 0.9048 375 751 376 1.0000 47 10,000 0.709E-06 1.0748 19 39 22 2.62E-14 48 10,000 0.921E-06 0.0312 33 67 34 1.20E-13 49 10,000 0.964E-06 0.4212 558 1,117 559 1.85E-13 50 10,000 0.990E-06 0.5772 526 1,053 527 1.24E-13 51 10,000 0.682E-07 0.0632 33 59 43 60,003.28 52 10,000 0.132E-12 0.0780 46 93 47 1.43E-23 53 10,000 0.995E-06 16.677 19,653 39,307 19,654 5.20E-10 54 10,000 0.212E-07 0.0312 22 50 35 3.02E-19 55 10,000 0.689E-06 0.0156 4 9 5 2.38E-09 56 10,000 0.138E-10 8.0809 10,000 20,001 10,002 9.99E-05 57 10,000 0.974E-06 1.1856 437 930 551 1.0000 58 10,000 0.960E-06 1.2636 495 1,006 513 1.0000 59 10,000 0.832E-06 1.8720 565 1,406 972 1.0000 60 10,000 0.996E-06 0.9516 388 777 389 1.0000 61 10,000 0.921E-06 1.7784 535 1,336 931 1.0000 62 10,000 0.990E-06 1.1856 435 901 485 1.0000 63 10,000 0.998E-06 17.706 2,169 8,668 6,499 1.0000 64 10,000 0.912E-06 0.0312 24 45 35 11,099 65 10,000 0.949E-06 22.558 19,489 39,984 20,496 1.92E-11 66 10,000 0.624E-06 0.0936 18 46 42 -9999 67 10,000 0.954E-06 0.0000 7 15 8 1.25E-09 68 10,000 0.723E-07 0.0312 11 34 26 1.73E-13 69 10,000 0.539E-06 6.2868 1,119 2,605 1,632 9.05E-06 70 10,000 0.645E-07 4.0092 5,000 10,001 5,001 2.16E-14 72 10,000 0.989E-06 1.3572 1,238 3,374 2,136 5.34E-13 73 10,000 0.977E-06 0.1248 165 331 166 7.12E-14
最后修改于 2014-02-15 18:07
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