January 28 2008 10:46:56.831 AM TEST_OPT_PRB FORTRAN90 version TEST_OPT optimization tests. TEST01 For each problem, print the title. Problem Title 1 The Fletcher-Powell Helix function. 2 The Biggs EXP6 function. 3 The Gaussian function. 4 The Powell badly scaled function. 5 The Box 3-dimensional function. 6 The variably dimensioned function. 7 The Watson function. 8 The Penalty Function #1. 9 The Penalty Function #2. 10 The Brown Badly Scaled Function. 11 The Brown and Dennis Function. 12 The Gulf R&D Function. 13 The Trigonometric Function. 14 The Extended Rosenbrock Function. 15 The Extended Powell Singular Function. 16 The Beale Function. 17 The Wood Function. 18 The Chebyquad Function 19 The Leon Cube Function 20 The Gregory and Karney Tridiagonal Matrix Function 21 The Hilbert Matrix Function F = x'Ax 22 The De Jong Function F1 23 The De Jong Function F2 24 The De Jong Function F3, (discontinuous) 25 The De Jong Function F4 (with Gaussian noise) 26 The De Jong Function F5 27 The Schaffer Function F6 28 The Schaffer Function F7 29 The Goldstein Price Polynomial 30 The Branin RCOS Function 31 The Shekel SQRN5 Function 32 The Shekel SQRN7 Function 33 The Shekel SQRN10 Function 34 The Six-Hump Camel-Back Polynomial 35 The Shubert Function 36 The Stuckman Function 37 The Easom Function 38 The Bohachevsky Function #1 39 The Bohachevsky Function #2 40 The Bohachevsky Function #3 41 The Colville Polynomial 42 The Powell 3D Function 43 The Himmelblau function. TEST02 For each problem, evaluate the function at the starting point. Problem 1 The Fletcher-Powell Helix function. N_MIN = 3 N = 3 F(X_START)= 2500.00 F(X_SOL)= 0.00000 Problem 2 The Biggs EXP6 function. N_MIN = 6 N = 6 F(X_START)= 0.779070 F(X_SOL)= 0.144926E-31 Problem 3 The Gaussian function. N_MIN = 3 N = 3 F(X_START)= 0.388811E-05 Problem 4 The Powell badly scaled function. N_MIN = 2 N = 2 F(X_START)= 1.13526 F(X_SOL)= 0.145526E-12 Problem 5 The Box 3-dimensional function. N_MIN = 3 N = 3 F(X_START)= 34.7325 F(X_SOL)= 0.00000 Problem 6 The variably dimensioned function. N_MIN = 1 N = 4 F(X_START)= 3222.19 F(X_SOL)= 0.00000 Problem 7 The Watson function. N_MIN = 2 N = 4 F(X_START)= 30.0000 Problem 8 The Penalty Function #1. N_MIN = 1 N = 4 F(X_START)= 885.063 Problem 9 The Penalty Function #2. N_MIN = 1 N = 4 F(X_START)= 2.34001 Problem 10 The Brown Badly Scaled Function. N_MIN = 2 N = 2 F(X_START)= 0.999998E+12 F(X_SOL)= 0.00000 Problem 11 The Brown and Dennis Function. N_MIN = 4 N = 4 F(X_START)= 0.792669E+07 F(X_SOL)= 85822.4 Problem 12 The Gulf R&D Function. N_MIN = 3 N = 3 F(X_START)= 1.20538 F(X_SOL)= 0.843560E-30 Problem 13 The Trigonometric Function. N_MIN = 1 N = 4 F(X_START)= 0.130531E-01 Problem 14 The Extended Rosenbrock Function. N_MIN = 1 N = 4 F(X_START)= 48.4000 F(X_SOL)= 0.00000 Problem 15 The Extended Powell Singular Function. N_MIN = 4 N = 4 F(X_START)= 215.000 F(X_SOL)= 0.00000 Problem 16 The Beale Function. N_MIN = 2 N = 2 F(X_START)= 14.2031 F(X_SOL)= 0.00000 Problem 17 The Wood Function. N_MIN = 4 N = 4 F(X_START)= 19192.0 F(X_SOL)= 0.00000 Problem 18 The Chebyquad Function N_MIN = 1 N = 4 F(X_START)= 0.711839E-01 F(X_SOL)= 0.924962E-13 Problem 19 The Leon Cube Function N_MIN = 2 N = 2 F(X_START)= 57.8384 F(X_SOL)= 0.00000 Problem 20 The Gregory and Karney Tridiagonal Matrix Function N_MIN = 1 N = 4 F(X_START)= 0.00000 F(X_SOL)= -4.00000 Problem 21 The Hilbert Matrix Function F = x'Ax N_MIN = 1 N = 4 F(X_START)= 5.07619 F(X_SOL)= 0.00000 Problem 22 The De Jong Function F1 N_MIN = 3 N = 3 F(X_START)= 52.4288 F(X_SOL)= 0.00000 Problem 23 The De Jong Function F2 N_MIN = 2 N = 2 F(X_START)= 469.952 F(X_SOL)= 0.00000 Problem 24 The De Jong Function F3, (discontinuous) N_MIN = 5 N = 5 F(X_START)= 0.00000 F(X_SOL)= -25.0000 Problem 25 The De Jong Function F4 (with Gaussian noise) N_MIN = 30 N = 30 F(X_START)= 284.843 F(X_SOL)= 0.00000 Repeat problem with P = 1.00000 F(X_START)= 284.840 F(X_SOL)= -0.263337 Problem 26 The De Jong Function F5 N_MIN = 2 N = 2 F(X_START)= 0.200000E-02 F(X_SOL)= 0.200000E-02 Problem 27 The Schaffer Function F6 N_MIN = 2 N = 2 F(X_START)= 0.868394 F(X_SOL)= 0.00000 Problem 28 The Schaffer Function F7 N_MIN = 2 N = 2 F(X_START)= 4.56376 F(X_SOL)= 0.00000 Problem 29 The Goldstein Price Polynomial N_MIN = 2 N = 2 F(X_START)= 2738.74 F(X_SOL)= 3.00000 Problem 30 The Branin RCOS Function N_MIN = 2 N = 2 F(X_START)= 60.3563 F(X_SOL)= 0.397887 Problem 31 The Shekel SQRN5 Function N_MIN = 4 N = 4 F(X_START)= -0.167128 F(X_SOL)= -10.1527 Problem 32 The Shekel SQRN7 Function N_MIN = 4 N = 4 F(X_START)= -0.215144 F(X_SOL)= -10.4023 Problem 33 The Shekel SQRN10 Function N_MIN = 4 N = 4 F(X_START)= -0.270985 F(X_SOL)= -10.5358 Problem 34 The Six-Hump Camel-Back Polynomial N_MIN = 2 N = 2 F(X_START)= 0.665625 F(X_SOL)= -1.03163 Problem 35 The Shubert Function N_MIN = 2 N = 2 F(X_START)= -3.10442 F(X_SOL)= 19.8758 Problem 36 The Stuckman Function N_MIN = 2 N = 2 F(X_START)= 43.0000 F(X_SOL)= 96.0000 Problem 37 The Easom Function N_MIN = 2 N = 2 F(X_START)= -0.450356E-05 F(X_SOL)= -1.00000 Problem 38 The Bohachevsky Function #1 N_MIN = 2 N = 2 F(X_START)= 2.55000 F(X_SOL)= 0.00000 Problem 39 The Bohachevsky Function #2 N_MIN = 2 N = 2 F(X_START)= 4.23635 F(X_SOL)= 0.00000 Problem 40 The Bohachevsky Function #3 N_MIN = 2 N = 2 F(X_START)= 3.55000 F(X_SOL)= 1.00000 Problem 41 The Colville Polynomial N_MIN = 4 N = 4 F(X_START)= 239.775 F(X_SOL)= 0.00000 Problem 42 The Powell 3D Function N_MIN = 3 N = 3 F(X_START)= 2.50000 F(X_SOL)= 1.00000 Problem 43 The Himmelblau function. N_MIN = 2 N = 2 F(X_START)= 44.7122 F(X_SOL)= 0.00000 TEST03 For each problem, compare the exact and approximate gradients at the starting point. Problem 1 The Fletcher-Powell Helix function. N = 3 X 0.367391 0.480637 0.737543E-01 G -628.000 380.589 -277.359 G_DIF -628.000 380.589 -277.359 Problem 2 The Biggs EXP6 function. N = 6 X 0.535523E-02 0.347081 0.342244 0.217952 0.133160 0.900525 G -2.50324 1.08475 5.55362 -3.47876 -5.70448 4.68291 G_DIF -2.50324 1.08475 5.55362 -3.47876 -5.70448 4.68291 Problem 3 The Gaussian function. N = 3 X 0.386766 0.445482 0.661932 G 0.991776 -0.333891 0.241451 G_DIF 0.991776 -0.333891 0.241451 Problem 4 The Powell badly scaled function. N = 2 X 0.161083E-01 0.650855 G 0.135172E+07 33453.7 G_DIF 0.135172E+07 33453.7 Problem 5 The Box 3-dimensional function. N = 3 X 0.646409 0.322987 0.855692 G 4.16013 -5.13591 6.54226 G_DIF 4.16013 -5.13591 6.54226 Problem 6 The variably dimensioned function. N = 4 X 0.401287 0.206874 0.968539 0.598400 G -243.653 -486.498 -727.430 -970.626 G_DIF -243.653 -486.498 -727.430 -970.626 Problem 7 The Watson function. N = 4 X 0.672981 0.456882 0.330015 0.100383 G 167.877 31.0709 -3.27689 -25.4095 G_DIF 167.877 31.0709 -3.27689 -25.4095 Problem 8 The Penalty Function #1. N = 4 X 0.755453 0.605693 0.719048 0.897335 G 6.07328 4.86931 5.78060 7.21390 G_DIF 6.07328 4.86931 5.78060 7.21390 Problem 9 The Penalty Function #2. N = 4 X 0.658229 0.150717 0.612315 0.978660 G 27.3388 4.53750 12.2896 9.82122 G_DIF 27.3388 4.53750 12.2896 9.82122 Problem 10 The Brown Badly Scaled Function. N = 2 X 0.999142 0.256798 G -0.200000E+07 -2.97026 G_DIF -0.200000E+07 0.00000 Problem 11 The Brown and Dennis Function. N = 4 X 0.550865 0.659048 0.554005 0.977760 G -0.115277E+07 -0.435616E+07 27558.7 -7485.23 G_DIF -0.115277E+07 -0.435616E+07 27558.7 -7485.23 Problem 12 The Gulf R&D Function. N = 3 X 0.901923 0.657925 0.728859 G -0.300211E-02 -0.711472E-04 0.900753E-02 G_DIF -0.300211E-02 -0.711469E-04 0.900753E-02 Problem 13 The Trigonometric Function. N = 4 X 0.402455 0.928628 0.147835 0.674529 G 1.66973 5.70436 0.133959 6.63980 G_DIF 1.66973 5.70436 0.133959 6.63980 Problem 14 The Extended Rosenbrock Function. N = 4 X 0.769614 0.339323 0.115819 0.614369 G 77.4192 -50.5967 -29.6091 120.191 G_DIF 77.4192 -50.5967 -29.6091 120.191 Problem 15 The Extended Powell Singular Function. N = 4 X 0.820617 0.947095 0.731129 0.497604 G 21.9312 205.284 3.42901 -3.68334 G_DIF 21.9312 205.284 3.42901 -3.68334 Problem 16 The Beale Function. N = 2 X 0.374802 0.421506 G -8.89352 3.09920 G_DIF -8.89352 3.09920 Problem 17 The Wood Function. N = 4 X 0.552903 0.997919 0.990395 0.746310 G -153.986 133.378 83.6156 -47.3887 G_DIF -153.986 133.378 83.6156 -47.3887 Problem 18 The Chebyquad Function N = 4 X 0.953759 0.932747E-01 0.734024 0.751762 G -4.76340 -0.876426 2.63523 2.43795 G_DIF -4.76340 -0.876426 2.63523 2.43795 Problem 19 The Leon Cube Function N = 2 X 0.946849 0.706176 G 76.6508 -28.5388 G_DIF 76.6508 -28.5388 Problem 20 The Gregory and Karney Tridiagonal Matrix Function N = 4 X 0.813810 0.558595 0.617056E-01 0.480381 G -1.74478 0.241674 -0.915564 0.899056 G_DIF -1.48957 0.483348 -1.83113 1.79811 Problem 21 The Hilbert Matrix Function F = x'Ax N = 4 X 0.597690 0.137532 0.587395 0.519968 G 1.98449 1.19106 0.875507 0.698218 G_DIF 1.98449 1.19106 0.875507 0.698218 Problem 22 The De Jong Function F1 N = 3 X 0.885878 0.303810 0.669657 G 1.77176 0.607620 1.33931 G_DIF 1.77176 0.607620 1.33931 Problem 23 The De Jong Function F2 N = 2 X 0.664940 0.503677 G -17.0360 12.3063 G_DIF -17.0360 12.3063 Problem 24 The De Jong Function F3, (discontinuous) N = 5 X 0.261575 0.765595E-01 0.101250 0.549266 0.375585 G 0.00000 0.00000 0.00000 0.00000 0.00000 G_DIF 0.00000 0.00000 0.00000 0.00000 0.00000 Problem 25 The De Jong Function F4 (with Gaussian noise) N = 30 X 0.151495E-01 0.792915 0.620878 0.773604 0.953581 0.114244 0.318463 0.596820 0.481529E-01 0.114206 0.215965 0.100573 0.733418E-01 0.246862 0.443384 0.208368 0.566998 0.243124E-01 0.420291 0.397853 0.976585 0.692605 0.494337E-02 0.129921 0.467773E-01 0.839778 0.678489 0.581951 0.733526 0.116043 G 0.139077E-04 3.98814 2.87210 7.40756 17.3421 0.357862E-01 0.904344 6.80268 0.401948E-02 0.595833E-01 0.443203 0.488304E-01 0.205144E-01 0.842460 5.22988 0.578989 12.3952 0.103470E-02 5.64238 5.03800 78.2366 29.2375 0.111136E-04 0.210528 0.102354E-01 61.5923 33.7328 22.0738 45.7830 0.187515 G_DIF 0.139086E-04 3.98814 2.87210 7.40756 17.3421 0.357862E-01 0.904344 6.80268 0.401948E-02 0.595833E-01 0.443203 0.488304E-01 0.205144E-01 0.842460 5.22988 0.578989 12.3952 0.103470E-02 5.64238 5.03800 78.2366 29.2375 0.111144E-04 0.210528 0.102354E-01 61.5923 33.7328 22.0738 45.7830 0.187515 Repeat problem with P = 1.00000 X -1.28000 -1.19172 -1.10345 -1.01517 -0.926897 -0.838621 -0.750345 -0.662069 -0.573793 -0.485517 -0.397241 -0.308966 -0.220690 -0.132414 -0.441379E-01 0.441379E-01 0.132414 0.220690 0.308966 0.397241 0.485517 0.573793 0.662069 0.750345 0.838621 0.926897 1.01517 1.10345 1.19172 1.28000 G -8.38861 -13.5400 -16.1227 -16.7394 -15.9266 -14.1549 -11.8288 -9.28666 -6.80093 -4.57798 -2.75814 -1.41570 -0.558920 -0.130013 -0.515926E-02 0.550321E-02 0.157873 0.773889 2.24153 5.01480 9.61376 16.6245 26.6992 40.5559 58.9789 82.8185 112.991 150.478 196.329 251.658 G_DIF 50241.8 -66099.9 -49497.2 17964.8 61837.5 26936.7 24343.5 8950.32 -87093.7 4715.93 1755.90 105131. -42491.4 -122150. 27915.1 -65229.7 -39477.6 -26154.1 -57602.2 -75180.3 -7205.92 88107.0 -44020.1 -32702.5 92114.2 42190.4 71979.0 46986.8 1140.63 -21549.5 Problem 26 The De Jong Function F5 N = 2 X 0.842579 0.618590 G 0.661165E-07 0.141017E-07 G_DIF 0.661165E-07 0.141016E-07 Problem 27 The Schaffer Function F6 N = 2 X 0.705893 0.242440 G 0.941953 0.323515 G_DIF 0.941953 0.323515 Problem 28 The Schaffer Function F7 N = 2 X 0.797961 0.391014 G -1.59573 -0.781933 G_DIF -1.59573 -0.781933 Problem 29 The Goldstein Price Polynomial N = 2 X 0.109959 0.753688 G -23593.5 37929.6 G_DIF -23593.5 37929.6 Problem 30 The Branin RCOS Function N = 2 X 0.297972E-01 0.700661 G -16.9229 -10.5041 G_DIF -16.9229 -10.5041 Problem 31 The Shekel SQRN5 Function N = 4 X 0.525203 0.752560 0.647678 0.871085 G -2.41778 -1.26330 -1.79533 -0.660929 G_DIF -2.41778 -1.26330 -1.79533 -0.660929 Problem 32 The Shekel SQRN7 Function N = 4 X 0.830721 0.957180 0.222267 0.579493 G -0.338943 -0.934519E-01 -1.52642 -0.829890 G_DIF -0.338943 -0.934519E-01 -1.52642 -0.829890 Problem 33 The Shekel SQRN10 Function N = 4 X 0.990761 0.839967 0.174805 0.709542 G -0.320746E-01 -0.337488 -1.69464 -0.601712 G_DIF -0.320746E-01 -0.337488 -1.69464 -0.601712 Problem 34 The Six-Hump Camel-Back Polynomial N = 2 X 0.301551 0.250416E-01 G 2.21210 0.101470 G_DIF 2.21210 0.101470 Problem 35 The Shubert Function N = 2 X 0.916740 0.688807 G -31.3206 54.9893 G_DIF -31.3206 54.9893 Problem 36 The Stuckman Function N = 2 X 0.756758 0.932728 G 0.00000 0.00000 G_DIF 0.00000 0.00000 Problem 37 The Easom Function N = 2 X 0.550099E-01 0.498950 G -0.362288E-06 -0.280703E-06 G_DIF -0.362288E-06 -0.280703E-06 Problem 38 The Bohachevsky Function #1 N = 2 X 0.594990E-01 0.171866 G 1.62272 4.86720 G_DIF 1.62272 4.86720 Problem 39 The Bohachevsky Function #2 N = 2 X 0.688362 0.306621 G 0.941904 -1.18392 G_DIF 0.941904 -1.18392 Problem 40 The Bohachevsky Function #3 N = 2 X 0.735190 0.752168 G 3.17208 3.35105 G_DIF 3.17208 3.35105 Problem 41 The Colville Polynomial N = 4 X 0.395721 0.877850E-01 0.489630E-01 0.779362 G 9.68328 -36.5574 -15.5974 117.335 G_DIF 9.68328 -36.5574 -15.5974 117.335 Problem 42 The Powell 3D Function N = 3 X 0.680777 0.311570 0.522765 G 0.571878 -1.36631 -0.473482 G_DIF 0.571878 -1.36631 -0.473482 Problem 43 The Himmelblau function. N = 2 X 0.505796 0.438526 G -33.4540 -31.6655 G_DIF -33.4540 -31.6655 TEST04 For each problem, compare the exact and approximate Hessians at the starting point. Problem 1 The Fletcher-Powell Helix function. N = 3 X: 0.587639 0.297325 0.294900 H: 642.61 -544.08 218.21 -544.08 621.75 -431.27 218.21 -431.27 202.00 H_DIF: 642.61 -544.08 218.21 -544.08 621.75 -431.27 218.21 -431.27 202.00 Problem 2 The Biggs EXP6 function. N = 6 X: 0.737844E-01 0.974946 0.728163 0.758090 0.309176 0.246498 H: 8.4826 -3.2598 -10.823 5.4652 2.0064 -9.4595 -3.2598 1.4478 5.6898 -4.2671 -0.88827 4.7428 -10.823 5.6898 23.484 -13.461 -3.2022 20.091 5.4652 -4.2671 -13.461 8.5531 1.5422 -11.847 2.0064 -0.88827 -3.2022 1.5422 0.75375 -1.5693 -9.4595 4.7428 20.091 -11.847 -1.5693 17.320 H_DIF: 8.4826 -3.2598 -10.823 5.4652 2.0064 -9.4595 -3.2598 1.4478 5.6898 -4.2671 -0.88827 4.7428 -10.823 5.6898 23.484 -13.461 -3.2022 20.091 5.4652 -4.2671 -13.461 8.5530 1.5422 -11.847 2.0064 -0.88827 -3.2022 1.5422 0.75371 -1.5693 -9.4595 4.7428 20.091 -11.847 -1.5693 17.320 Problem 3 The Gaussian function. N = 3 X: 0.256887 0.618063 0.937788 H: 9.0112 -0.58871 0.94545 -0.58871 0.13420 0.13528 0.94545 0.13528 0.17009 H_DIF: 9.0112 -0.58871 0.94545 -0.58871 0.13420 0.13528 0.94545 0.13528 0.17009 Problem 4 The Powell badly scaled function. N = 2 X: 0.992182 0.224819 H: 0.10109E+08 0.89205E+08 0.89205E+08 0.19689E+09 H_DIF: 0.10109E+08 0.89205E+08 0.89205E+08 0.19689E+09 Problem 5 The Box 3-dimensional function. N = 3 X: 0.947284 0.847785 0.700126 H: 0.49817 -2.0204 3.0293 -2.0204 3.6550 -3.2134 3.0293 -3.2134 6.1280 H_DIF: 0.49820 -2.0204 3.0293 -2.0204 3.6550 -3.2134 3.0293 -3.2134 6.1280 Problem 6 The variably dimensioned function. N = 4 X: 0.554444 0.441584 0.249182 0.897663 H: 218.13 432.25 648.38 864.50 432.25 866.50 1296.8 1729.0 648.38 1296.8 1947.1 2593.5 864.50 1729.0 2593.5 3460.0 H_DIF: 218.13 432.25 648.38 864.50 432.25 866.50 1296.8 1729.0 648.38 1296.8 1947.1 2593.5 864.50 1729.0 2593.5 3460.0 Problem 7 The Watson function. N = 4 X: 0.145730 0.434594 0.457376 0.309381 H: 152.10 33.611 -10.480 -38.191 33.611 49.520 21.809 3.0306 -10.480 21.809 23.375 19.785 -38.191 3.0306 19.785 27.821 H_DIF: 152.10 33.611 -10.480 -38.191 33.611 49.520 21.809 3.0306 -10.480 21.809 23.375 19.785 -38.191 3.0306 19.785 27.821 Problem 8 The Penalty Function #1. N = 4 X: 0.480925 0.689743 0.810799 0.392164 H: 6.9232 2.6537 3.1195 1.5088 2.6537 8.8789 4.4739 2.1639 3.1195 4.4739 10.332 2.5437 1.5088 2.1639 2.5437 6.3032 H_DIF: 6.9232 2.6537 3.1195 1.5088 2.6537 8.8789 4.4739 2.1639 3.1195 4.4739 10.332 2.5437 1.5088 2.1639 2.5437 6.3033 Problem 9 The Penalty Function #2. N = 4 X: 0.293149 0.575978 0.725342 0.142773 H: 35.586 16.209 13.609 1.3393 16.209 40.826 20.053 1.9736 13.609 20.053 28.129 1.6570 1.3393 1.9736 1.6570 5.8096 H_DIF: 35.586 16.209 13.609 1.3393 16.209 40.826 20.053 1.9736 13.609 20.053 28.129 1.6569 1.3393 1.9736 1.6569 5.8096 Problem 10 The Brown Badly Scaled Function. N = 2 X: 0.333556 0.160390 H: 2.0514 -3.7860 -3.7860 2.2225 H_DIF: 0.78538E+07 0.65448E+06 0.65448E+06 0.0000 Problem 11 The Brown and Dennis Function. N = 4 X: 0.534594 0.723325 0.228180 0.199006 H: 89632. 0.32628E+06 -1939.6 322.25 0.32628E+06 0.12043E+07 -6451.2 1604.3 -1939.6 -6451.2 30032. -13612. 322.25 1604.3 -13612. 10449. H_DIF: 89720. 0.32623E+06 -1947.4 319.57 0.32623E+06 0.12046E+07 -6461.4 1607.8 -1947.4 -6461.4 29960. -13612. 319.57 1607.8 -13612. 10386. Problem 12 The Gulf R&D Function. N = 3 X: 0.972620 0.993571 0.819520E-01 H: 37.034 0.40306E-01 -66.933 0.40306E-01 -0.16628E-02 -0.74895 -66.933 -0.74895 237.85 H_DIF: 37.034 0.40287E-01 -66.933 0.40287E-01 -0.14857E-02 -0.74894 -66.933 -0.74894 237.85 Problem 13 The Trigonometric Function. N = 4 X: 0.250881 0.215849 0.195777 0.850265 H: 4.6713 -0.15554 -0.91216E-01 1.5745 -0.15554 4.9702 -0.50256E-01 1.4682 -0.91216E-01 -0.50256E-01 5.4639 1.4851 1.5745 1.4682 1.4851 31.816 H_DIF: 4.6714 -0.15554 -0.91217E-01 1.5745 -0.15554 4.9703 -0.50247E-01 1.4682 -0.91217E-01 -0.50247E-01 5.4639 1.4851 1.5745 1.4682 1.4851 31.816 Problem 14 The Extended Rosenbrock Function. N = 4 X: 0.446824E-01 0.863921 0.671337E-01 0.427317 H: -341.17 -17.873 0.0000 0.0000 -17.873 200.00 0.0000 0.0000 0.0000 0.0000 -163.52 -26.853 0.0000 0.0000 -26.853 200.00 H_DIF: -341.17 -17.873 0.0000 0.0000 -17.873 200.00 0.0000 0.0000 0.0000 0.0000 -163.52 -26.853 0.0000 0.0000 -26.853 200.00 Problem 15 The Extended Powell Singular Function. N = 4 X: 0.137319 0.119087 0.305950 0.613237 H: 29.180 20.000 0.0000 -27.180 20.000 202.91 -5.8287 0.0000 0.0000 -5.8287 21.657 -10.000 -27.180 0.0000 -10.000 37.180 H_DIF: 29.180 20.000 0.0000 -27.180 20.000 202.91 -5.8287 0.23810E-05 0.0000 -5.8287 21.657 -10.000 -27.180 0.23810E-05 -10.000 37.180 Problem 16 The Beale Function. N = 2 X: 0.663663 0.895910 H: 0.25736 20.694 20.694 31.841 H_DIF: 0.25734 20.694 20.694 31.841 Problem 17 The Wood Function. N = 4 X: 0.753679 0.629871 0.220988 0.483837 H: 431.69 -301.47 0.0000 0.0000 -301.47 220.20 0.0000 19.800 0.0000 0.0000 -119.44 -79.556 0.0000 19.800 -79.556 200.20 H_DIF: 431.69 -301.47 0.0000 0.0000 -301.47 220.20 0.19048E-04 19.800 0.0000 0.19048E-04 -119.44 -79.556 0.0000 19.800 -79.556 200.20 Problem 18 The Chebyquad Function N = 4 X: 0.615020 0.987659 0.559188 0.370884 H: -6.2340 -30.831 7.0958 -3.2662 -30.831 256.25 -23.455 14.444 7.0958 -23.455 -15.115 0.74323E-01 -3.2662 14.444 0.74323E-01 -6.5345 H_DIF: -6.2340 -30.831 7.0958 -3.2662 -30.831 256.25 -23.455 14.444 7.0958 -23.455 -15.115 0.74323E-01 -3.2662 14.444 0.74323E-01 -6.5345 Problem 19 The Leon Cube Function N = 2 X: 0.337595 0.745425 H: -261.01 -68.382 -68.382 200.00 H_DIF: -261.01 -68.382 -68.382 200.00 Problem 20 The Gregory and Karney Tridiagonal Matrix Function N = 4 X: 0.569735 0.456137 0.648190 0.683596 H: 2.0000 -2.0000 0.0000 0.0000 -2.0000 4.0000 -2.0000 0.0000 0.0000 -2.0000 4.0000 -2.0000 0.0000 0.0000 -2.0000 4.0000 H_DIF: 2.0000 -2.0000 0.0000 0.23810E-05 -2.0000 4.0000 -2.0000 0.23810E-05 0.0000 -2.0000 4.0000 -2.0000 0.23810E-05 0.23810E-05 -2.0000 4.0000 Problem 21 The Hilbert Matrix Function F = x'Ax N = 4 X: 0.170391 0.273066 0.440762 0.457722 H: 2.0000 1.0000 0.66667 0.50000 1.0000 0.66667 0.50000 0.40000 0.66667 0.50000 0.40000 0.33333 0.50000 0.40000 0.33333 0.28571 H_DIF: 2.0000 1.0000 0.66667 0.50000 1.0000 0.66667 0.50000 0.40000 0.66667 0.50000 0.40000 0.33333 0.50000 0.40000 0.33333 0.28571 Problem 22 The De Jong Function F1 N = 3 X: 0.395257 0.688334 0.298889 H: 2.0000 0.0000 0.0000 0.0000 2.0000 0.0000 0.0000 0.0000 2.0000 H_DIF: 2.0000 0.0000 0.0000 0.0000 2.0000 0.0000 0.0000 0.0000 2.0000 Problem 23 The De Jong Function F2 N = 2 X: 0.205227 0.192284 H: -24.372 -82.091 -82.091 200.00 H_DIF: -24.372 -82.091 -82.091 200.00 Problem 24 The De Jong Function F3, (discontinuous) N = 5 X: 0.419000 0.690645 0.140555 0.143741 0.662464 H: 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 H_DIF: 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Problem 25 The De Jong Function F4 (with Gaussian noise) N = 30 X: 0.575675 0.774951 0.775297 0.765354 0.876511 0.992138E-01 0.334516 0.645094 0.131618 0.807544 0.541872 0.265753 0.458875 0.510925 0.504834 0.961774 0.550235 0.189629 0.201119 0.248738 0.970091 0.776392 0.272700 0.496951 0.398752 0.613296 0.852687E-01 0.737002 0.862869 0.341035 H: 3.9768 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 14.413 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 21.639 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 28.117 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 46.096 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.70872 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 9.3997 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 39.950 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1.8709 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 78.255 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 38.759 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 10.170 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 32.848 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 43.855 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 45.874 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 177.60 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 61.763 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 7.7672 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 9.2223 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 14.849 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 237.15 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 159.14 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 20.525 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 71.124 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 47.701 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 117.35 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 2.3557 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 182.51 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 259.10 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 41.870 H_DIF: 3.9766 0.0000 -0.76192E-04 0.76192E-04 0.76192E-04 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 -0.76192E-04 0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 14.413 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 21.639 -0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 -0.76192E-04 0.76192E-04 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 28.117 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 -0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 0.0000 0.0000 0.76192E-04 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.76192E-04 0.0000 0.0000 46.096 0.0000 0.76192E-04 -0.76192E-04 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.70859 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.76192E-04 0.0000 0.76192E-04 -0.76192E-04 0.0000 0.0000 -0.76192E-04 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.76192E-04 -0.76192E-04 9.3994 0.76192E-04 0.76192E-04 0.0000 0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.76192E-04 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 39.950 -0.76192E-04 0.0000 -0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 0.0000 0.0000 0.76192E-04 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 -0.76192E-04 0.76192E-04 0.76192E-04 -0.76192E-04 1.8707 0.0000 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 -0.76192E-04 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 78.255 0.0000 0.0000 0.0000 -0.76192E-04 0.76192E-04 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 -0.76192E-04 0.76192E-04 0.76192E-04 -0.76192E-04 -0.76192E-04 0.0000 38.758 0.76192E-04 0.0000 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 10.170 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.76192E-04 -0.76192E-04 -0.76192E-04 0.0000 0.0000 0.0000 32.848 0.0000 0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 43.855 -0.76192E-04 0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 -0.76192E-04 0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.76192E-04 0.76192E-04 0.0000 0.76192E-04 -0.76192E-04 45.874 0.0000 -0.76192E-04 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 -0.76192E-04 0.0000 0.0000 0.0000 0.76192E-04 0.0000 177.60 0.76192E-04 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.76192E-04 -0.76192E-04 -0.76192E-04 0.76192E-04 0.76192E-04 0.0000 0.0000 -0.76192E-04 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 61.762 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 -0.76192E-04 0.76192E-04 0.0000 7.7670 0.0000 -0.76192E-04 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 9.2223 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 -0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 -0.76192E-04 0.0000 -0.76192E-04 0.0000 14.849 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 237.15 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 159.14 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 -0.76192E-04 0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.0000 20.525 0.0000 -0.76192E-04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 71.124 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.76192E-04 0.0000 0.76192E-04 -0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.76192E-04 0.0000 -0.76192E-04 0.76192E-04 -0.76192E-04 0.0000 -0.76192E-04 0.0000 0.76192E-04 0.0000 0.0000 -0.76192E-04 0.0000 47.701 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 117.35 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 2.3552 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 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0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 34.085 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 43.834 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 49.468 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 51.548 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 50.636 0.0000 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-0.22412E+10 0.18829E+11 -0.91244E+10 -0.46104E+11 -0.13540E+10 -0.13106E+11 -0.10184E+11 0.67912E+10 -0.42917E+10 0.22600E+11 0.35046E+10 0.14189E+11 -0.20016E+11 -0.28239E+10 0.12573E+11 -0.50160E+09 0.15563E+11 0.13791E+11 0.53531E+10 -0.83628E+10 -0.43579E+09 0.34759E+10 -0.76914E+10 0.12559E+11 -0.20598E+10 0.16999E+11 0.29100E+10 0.89557E+10 0.45236E+10 0.12818E+11 -0.23194E+10 0.61568E+10 -0.17227E+10 -0.13540E+10 -0.34383E+10 0.18465E+09 -0.79850E+10 -0.63433E+10 0.58914E+10 0.19862E+11 0.12198E+11 -0.13134E+11 -0.96552E+10 -0.19223E+10 0.16902E+11 -0.51684E+10 0.16890E+10 -0.72455E+09 0.12145E+10 -0.91730E+10 -0.83535E+10 0.78624E+10 -0.18550E+11 0.19184E+10 -0.44200E+10 -0.16170E+11 -0.73233E+10 0.45055E+10 -0.67094E+10 -0.75140E+10 -0.51215E+10 -0.13542E+11 0.13068E+11 -0.13106E+11 0.18465E+09 -0.28506E+11 0.70708E+10 0.75269E+10 -0.57911E+10 0.11980E+11 -0.99476E+10 -0.14034E+11 -0.94257E+10 -0.87038E+10 -0.15362E+11 -0.17532E+11 -0.10593E+11 0.13418E+10 -0.23809E+10 -0.34082E+10 0.76562E+10 0.80346E+10 -0.58574E+10 -0.12481E+10 0.10266E+11 -0.37342E+10 0.15439E+10 0.56229E+10 -0.61338E+10 0.16837E+11 -0.47704E+09 0.11424E+11 -0.26818E+10 -0.10184E+11 -0.79850E+10 0.70708E+10 -0.38959E+11 0.48116E+10 0.51006E+10 0.15999E+11 0.18330E+09 0.24826E+10 -0.17352E+11 -0.90809E+10 -0.21733E+10 0.90079E+10 -0.24239E+10 -0.97158E+10 0.14873E+11 -0.11788E+11 -0.10250E+11 0.63715E+10 -0.72262E+10 0.10285E+11 0.99450E+10 -0.78499E+10 0.39716E+10 0.89338E+10 -0.17431E+11 -0.13179E+11 0.11454E+11 0.66904E+10 0.25314E+11 0.67912E+10 -0.63433E+10 0.75269E+10 0.48116E+10 0.13852E+10 -0.19762E+11 -0.40916E+10 0.78339E+10 -0.88900E+10 0.14889E+11 0.17507E+10 -0.36097E+10 -0.19558E+10 0.11329E+10 0.47886E+10 0.25516E+09 -0.87453E+10 -0.75334E+10 0.30119E+10 -0.28434E+10 -0.14465E+10 0.50575E+10 0.12475E+11 -0.11222E+11 0.24650E+10 0.17050E+11 -0.34700E+10 -0.10788E+11 0.14894E+11 0.39901E+10 -0.42917E+10 0.58914E+10 -0.57911E+10 0.51006E+10 -0.19762E+11 -0.87686E+11 -0.13763E+11 0.95025E+10 -0.69500E+10 -0.35804E+10 0.94367E+10 0.40744E+10 0.71809E+09 0.32451E+10 0.16453E+09 -0.12908E+11 0.74148E+10 -0.21448E+11 0.10307E+11 -0.11156E+10 -0.54039E+10 -0.17695E+11 0.60987E+10 -0.14736E+11 0.80731E+10 -0.57801E+10 0.82815E+09 0.90530E+10 -0.39629E+10 0.29055E+10 0.22600E+11 0.19862E+11 0.11980E+11 0.15999E+11 -0.40916E+10 -0.13763E+11 -0.86623E+11 0.10814E+11 0.10501E+11 -0.31336E+11 -0.53844E+10 -0.90321E+10 -0.16417E+10 -0.92895E+10 0.10951E+11 -0.60724E+10 0.24766E+08 0.13303E+11 -0.61619E+10 0.83715E+10 -0.90798E+10 0.10405E+10 -0.20863E+10 -0.11239E+11 -0.32368E+09 0.39545E+08 -0.45458E+10 -0.44264E+10 0.55257E+10 -0.47063E+10 0.35046E+10 0.12198E+11 -0.99476E+10 0.18330E+09 0.78339E+10 0.95025E+10 0.10814E+11 0.71287E+10 0.12540E+11 -0.53099E+10 -0.11070E+11 0.13190E+11 -0.69388E+10 -0.34366E+10 -0.70935E+10 -0.11629E+11 0.16023E+11 -0.89360E+10 0.85099E+10 -0.44039E+10 0.38154E+10 -0.75578E+10 -0.87234E+09 0.61955E+09 0.41970E+10 0.22371E+11 -0.12911E+09 0.12442E+11 -0.24077E+11 -0.16887E+11 0.14189E+11 -0.13134E+11 -0.14034E+11 0.24826E+10 -0.88900E+10 -0.69500E+10 0.10501E+11 0.12540E+11 0.40213E+11 0.29907E+10 -0.88139E+10 -0.76189E+10 -0.22558E+10 0.28561E+11 0.33833E+10 -0.11477E+11 -0.87027E+10 0.30747E+10 0.12386E+11 0.47453E+10 -0.49734E+10 0.12213E+11 0.59268E+10 -0.59773E+10 0.53602E+10 -0.10257E+11 -0.10501E+07 -0.19330E+11 0.12938E+11 0.79485E+10 -0.20016E+11 -0.96552E+10 -0.94257E+10 -0.17352E+11 0.14889E+11 -0.35804E+10 -0.31336E+11 -0.53099E+10 0.29907E+10 0.24089E+11 -0.76695E+10 0.90791E+10 0.12026E+11 0.79849E+10 -0.55052E+10 0.91015E+10 0.30311E+11 -0.12602E+10 0.25945E+09 0.47125E+09 0.10441E+11 0.61479E+10 -0.77133E+09 0.88079E+10 -0.59154E+10 0.19538E+11 -0.55303E+10 -0.55275E+09 -0.19031E+10 -0.25738E+11 -0.28239E+10 -0.19223E+10 -0.87038E+10 -0.90809E+10 0.17507E+10 0.94367E+10 -0.53844E+10 -0.11070E+11 -0.88139E+10 -0.76695E+10 0.38334E+11 0.96636E+10 0.10146E+10 0.42921E+09 -0.76017E+10 -0.43562E+10 0.12943E+11 0.15485E+11 -0.11651E+11 0.11219E+11 -0.27690E+10 -0.22005E+10 0.67499E+10 -0.15159E+11 0.85824E+10 -0.70148E+10 0.30915E+10 0.79583E+10 -0.37202E+10 0.98877E+10 0.12573E+11 0.16902E+11 -0.15362E+11 -0.21733E+10 -0.36097E+10 0.40744E+10 -0.90321E+10 0.13190E+11 -0.76189E+10 0.90791E+10 0.96636E+10 -0.51539E+10 0.44980E+10 0.59281E+10 -0.81615E+10 -0.46823E+10 0.81362E+10 -0.74932E+10 0.81837E+10 0.43357E+10 -0.16411E+11 -0.78879E+10 0.46100E+10 0.59309E+10 0.77255E+10 0.14136E+10 0.64669E+10 0.15345E+11 -0.10437E+11 0.31293E+10 -0.50160E+09 -0.51684E+10 -0.17532E+11 0.90079E+10 -0.19558E+10 0.71809E+09 -0.16417E+10 -0.69388E+10 -0.22558E+10 0.12026E+11 0.10146E+10 0.44980E+10 -0.20541E+11 0.69074E+10 -0.34306E+08 0.35290E+10 -0.65545E+10 -0.76485E+10 -0.50898E+10 -0.11336E+11 0.54703E+09 0.34065E+10 -0.29132E+10 -0.27368E+10 -0.61644E+10 0.90339E+10 0.93991E+10 -0.87684E+10 -0.37597E+10 -0.62483E+10 0.15563E+11 0.16890E+10 -0.10593E+11 -0.24239E+10 0.11329E+10 0.32451E+10 -0.92895E+10 -0.34366E+10 0.28561E+11 0.79849E+10 0.42921E+09 0.59281E+10 0.69074E+10 0.95748E+10 0.41509E+10 -0.12850E+11 0.78287E+09 0.10264E+11 -0.32767E+10 0.58832E+10 0.63607E+10 0.56225E+09 0.41406E+10 -0.14366E+10 -0.62681E+10 -0.10294E+11 -0.60814E+10 -0.22899E+10 -0.95053E+10 -0.10409E+11 0.13791E+11 -0.72455E+09 0.13418E+10 -0.97158E+10 0.47886E+10 0.16453E+09 0.10951E+11 -0.70935E+10 0.33833E+10 -0.55052E+10 -0.76017E+10 -0.81615E+10 -0.34306E+08 0.41509E+10 0.56461E+11 Problem 26 The De Jong Function F5 N = 2 X: 0.123619 0.437641 H: 0.0000 0.0000 0.0000 0.0000 H_DIF: -0.18602E-07 0.23252E-08 0.23252E-08 0.18602E-07 Problem 27 The Schaffer Function F6 N = 2 X: 0.247597 0.574371 H: 1.3772 -0.32459 -0.32459 0.76419 H_DIF: 1.3772 -0.32458 -0.32458 0.76419 Problem 28 The Schaffer Function F7 N = 2 X: 0.845194 0.295436 H: -185.21 -63.483 -63.483 -25.785 H_DIF: -185.21 -63.483 -63.483 -25.785 Problem 29 The Goldstein Price Polynomial N = 2 X: 0.933333 0.726188 H: 8900.9 -12165. -12165. 17977. H_DIF: 8901.0 -12165. -12165. 17977. Problem 30 The Branin RCOS Function N = 2 X: 0.290593 0.302254 H: -1.8893 3.0329 3.0329 2.0000 H_DIF: -1.8891 3.0330 3.0330 2.0000 Problem 31 The Shekel SQRN5 Function N = 4 X: 0.690705 0.261687 0.375812 0.711261 H: 0.82153 -0.80684 -0.68219 -0.31612 -0.80684 -0.76476 -1.6272 -0.75351 -0.68219 -1.6272 -0.21575 -0.63700 -0.31612 -0.75351 -0.63700 0.86462 H_DIF: 0.82153 -0.80684 -0.68219 -0.31612 -0.80684 -0.76476 -1.6272 -0.75351 -0.68219 -1.6272 -0.21575 -0.63700 -0.31612 -0.75351 -0.63700 0.86462 Problem 32 The Shekel SQRN7 Function N = 4 X: 0.960223 0.721273 0.926634 0.782980E-01 H: 1.5462 -0.63258E-01 -0.17658E-01 -0.20330 -0.63258E-01 1.1281 -0.11399 -1.4115 -0.17658E-01 -0.11399 1.5262 -0.37265 -0.20330 -1.4115 -0.37265 -3.1039 H_DIF: 1.5462 -0.63257E-01 -0.17658E-01 -0.20330 -0.63257E-01 1.1281 -0.11399 -1.4115 -0.17658E-01 -0.11399 1.5262 -0.37265 -0.20330 -1.4115 -0.37265 -3.1039 Problem 33 The Shekel SQRN10 Function N = 4 X: 0.668394 0.353901 0.163000 0.247002 H: 0.39139 -0.21807 -0.28241 -0.25346 -0.21807 0.81981E-01 -0.54694 -0.49227 -0.28241 -0.54694 -0.20366 -0.63690 -0.25346 -0.49227 -0.63690 -0.68158E-01 H_DIF: 0.39139 -0.21807 -0.28241 -0.25346 -0.21807 0.81983E-01 -0.54694 -0.49227 -0.28241 -0.54694 -0.20366 -0.63689 -0.25346 -0.49227 -0.63689 -0.68154E-01 Problem 34 The Six-Hump Camel-Back Polynomial N = 2 X: 0.725024 0.972542 H: -2.4834 1.0000 1.0000 37.400 H_DIF: -2.4834 1.0000 1.0000 37.400 Problem 35 The Shubert Function N = 2 X: 0.198327 0.216724 H: -397.00 514.92 514.92 -356.48 H_DIF: -397.00 514.92 514.92 -356.48 Problem 36 The Stuckman Function N = 2 X: 0.240667 0.381105 H: 0.0000 0.0000 0.0000 0.0000 H_DIF: 0.0000 0.0000 0.0000 0.0000 Problem 37 The Easom Function N = 2 X: 0.635872E-01 0.603890 H: -0.34365E-05 -0.26916E-05 -0.26916E-05 -0.15874E-05 H_DIF: -0.34365E-05 -0.26916E-05 -0.26916E-05 -0.15874E-05 Problem 38 The Bohachevsky Function #1 N = 2 X: 0.262295 0.487167 H: -18.895 0.0000 0.0000 66.346 H_DIF: -18.895 -0.23810E-05 -0.23810E-05 66.346 Problem 39 The Bohachevsky Function #2 N = 2 X: 0.185379 0.347179 H: 3.6014 32.864 32.864 6.8469 H_DIF: 3.6014 32.864 32.864 6.8469 Problem 40 The Bohachevsky Function #3 N = 2 X: 0.952032 0.959627 H: -21.971 0.0000 0.0000 -134.02 H_DIF: -21.971 -0.47620E-05 -0.47620E-05 -134.02 Problem 41 The Colville Polynomial N = 4 X: 0.589318 0.856024E-01 0.943531 0.205842 H: 384.51 -235.73 0.0000 0.0000 -235.73 220.20 0.0000 19.800 0.0000 0.0000 889.37 -339.67 0.0000 19.800 -339.67 200.20 H_DIF: 384.51 -235.73 0.0000 0.0000 -235.73 220.20 0.0000 19.800 0.0000 0.0000 889.37 -339.67 0.0000 19.800 -339.67 200.20 Problem 42 The Powell 3D Function N = 3 X: 0.287747 0.625464 0.551885E-01 H: 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 H_DIF: 0.85884 -0.92043 -0.92711E-01 -0.92043 0.94569 -1.5327 -0.92711E-01 -1.5327 -0.40401E-01 Problem 43 The Himmelblau function. N = 2 X: 0.113261 0.819143 H: -38.569 3.7296 3.7296 -17.495 H_DIF: -38.570 3.7296 3.7296 -17.495 TEST05 For each problem, take a few steps of the gradient method. Problem 1 The Fletcher-Powell Helix function. N = 3 Starting X: -1.00000 0.00000 0.00000 Starting F: 2500.00 Gradient: 0.00000 -1591.55 -1000.00 Reject step, F = 0.353485E+09 Reject step, F = 0.219400E+08 Reject step, F = 0.133348E+07 Reject step, F = 74367.1 Reject step, F = 2953.78 New X: -1.00000 1.55425 0.976563 New F: 665.014 Gradient: -444.235 -84.1110 -484.719 Reject step, F = 0.440858E+08 Reject step, F = 0.273919E+07 Reject step, F = 167154. Reject step, F = 9343.99 New X: 0.735293 1.88281 2.86999 New F: 205.191 Gradient: 215.500 135.122 198.251 Reject step, F = 0.104261E+08 Reject step, F = 650198. Reject step, F = 41188.0 Reject step, F = 3148.45 New X: -0.106505 1.35498 2.09558 New F: 45.3035 Gradient: -129.199 61.8990 -101.662 Reject step, F = 0.310649E+07 Reject step, F = 196752. Reject step, F = 13466.6 Reject step, F = 1236.76 New X: 0.398180 1.11319 2.49269 New F: 38.6316 Gradient: 149.022 -14.5898 112.867 Reject step, F = 0.354321E+07 Reject step, F = 224586. Reject step, F = 15126.4 Reject step, F = 1274.83 Reject step, F = 56.1036 New X: 0.252651 1.12744 2.38247 New F: 13.5354 Problem 2 The Biggs EXP6 function. N = 6 Starting X: 1.00000 2.00000 1.00000 1.00000 1.00000 1.00000 Starting F: 0.779070 Gradient: -0.149372 -0.183163 -1.48396 1.42828 -0.149372 -1.48396 Reject step, F = 49.1877 Reject step, F = 2.90414 New X: 1.00934 2.01145 1.09275 0.910733 1.00934 1.09275 New F: 0.611655 Gradient: -1.06264 0.250415 0.502871 0.599772E-01 -1.06264 0.502871 Reject step, F = 8.06840 Reject step, F = 1.02780 New X: 1.07575 1.99580 1.06132 0.906984 1.07575 1.06132 New F: 0.517497 Gradient: -0.367102 -0.427819E-02 -0.559641 0.686305 -0.367102 -0.559641 Reject step, F = 4.92284 Reject step, F = 0.578203 New X: 1.09869 1.99606 1.09630 0.864090 1.09869 1.09630 New F: 0.457978 Gradient: -0.589200 0.110697 0.409713E-01 0.226744 -0.589200 0.409713E-01 Reject step, F = 0.918278 New X: 1.24599 1.96839 1.08605 0.807404 1.24599 1.08605 New F: 0.379018 Gradient: 0.128213 -0.142882 -0.837512 0.725614 0.128213 -0.837512 Reject step, F = 18.5968 Reject step, F = 1.09293 New X: 1.23798 1.97732 1.13840 0.762053 1.23798 1.13840 New F: 0.329946 Problem 3 The Gaussian function. N = 3 Starting X: 0.400000 1.00000 0.00000 Starting F: 0.388811E-05 Gradient: 0.741428E-02 -0.744126E-03 -0.530190E-19 Reject step, F = 0.147137E-03 New X: 0.398146 1.00019 0.132547E-19 New F: 0.243372E-05 Gradient: -0.585818E-02 0.606491E-03 0.643480E-19 Reject step, F = 0.919699E-04 New X: 0.399611 1.00003 -0.283227E-20 New F: 0.152428E-05 Gradient: 0.463175E-02 -0.460543E-03 0.966147E-20 Reject step, F = 0.574246E-04 New X: 0.398453 1.00015 -0.524763E-20 New F: 0.956673E-06 Gradient: -0.365887E-02 0.382793E-03 0.347284E-19 Reject step, F = 0.358886E-04 New X: 0.399368 1.00005 -0.139297E-19 New F: 0.601877E-06 Gradient: 0.289362E-02 -0.283980E-03 0.228434E-19 Reject step, F = 0.224154E-04 New X: 0.398644 1.00012 -0.196406E-19 New F: 0.380364E-06 Problem 4 The Powell badly scaled function. N = 2 Starting X: 0.00000 1.00000 Starting F: 1.13526 Gradient: -20000.7 -0.270597 Reject step, F = 0.645814E+17 Reject step, F = 0.284990E+16 Reject step, F = 0.161592E+15 Reject step, F = 0.984910E+13 Reject step, F = 0.611686E+12 Reject step, F = 0.381696E+11 Repeated step reductions do not help. Problem abandoned. Problem 5 The Box 3-dimensional function. N = 3 Starting X: 0.00000 10.0000 5.00000 Starting F: 34.7325 Gradient: 16.4439 -0.418941 20.4680 Reject step, F = 0.199301E+15 Reject step, F = 6654.07 New X: -1.02774 10.0262 3.72075 New F: 9.95623 Gradient: -10.8512 -0.224523 4.55102 New X: 9.82349 10.2507 -0.830270 New F: 2.15250 Gradient: -0.999764E-01 0.910234E-01 -5.13596 Reject step, F = 56.6894 New X: 9.84848 10.2280 0.453721 New F: 0.611741 Gradient: 0.513634E-01 -0.471930E-01 2.73773 Reject step, F = 16.1074 New X: 9.83564 10.2397 -0.230713 New F: 0.173962 Gradient: -0.290905E-01 0.266520E-01 -1.45926 Reject step, F = 4.57676 New X: 9.84291 10.2331 0.134102 New F: 0.495748E-01 Problem 6 The variably dimensioned function. N = 4 Starting X: 0.750000 0.500000 0.250000 0.00000 Starting F: 3222.19 Gradient: -1703.00 -3406.00 -5109.00 -6812.00 Reject step, F = 0.680908E+19 Reject step, F = 0.265511E+17 Reject step, F = 0.102986E+15 Reject step, F = 0.391044E+12 Reject step, F = 0.136098E+10 Reject step, F = 0.323154E+07 Repeated step reductions do not help. Problem abandoned. Problem 7 The Watson function. N = 4 Starting X: 0.00000 0.00000 0.00000 0.00000 Starting F: 30.0000 Gradient: 0.00000 -60.0000 -60.0000 -61.0345 Reject step, F = 0.401347E+10 Reject step, F = 0.142856E+08 Reject step, F = 38072.7 Reject step, F = 32.3780 New X: 0.00000 0.234375 0.234375 0.238416 New F: 6.39124 Gradient: 6.79401 -20.0401 -13.0686 -10.1587 Reject step, F = 0.585354E+07 Reject step, F = 18362.7 Reject step, F = 64.5412 New X: -0.106156 0.547502 0.438571 0.397145 New F: 2.15736 Gradient: -11.8062 -5.72524 4.02610 7.50795 Reject step, F = 670611. Reject step, F = 4295.10 Reject step, F = 68.0743 New X: 0.783155E-01 0.636959 0.375663 0.279834 New F: 1.97353 Gradient: 16.9011 1.13435 -1.05384 -4.65647 Reject step, F = 0.171803E+07 Reject step, F = 4468.83 Reject step, F = 35.6227 Reject step, F = 2.21261 New X: 0.122955E-01 0.632528 0.379780 0.298023 New F: 1.12965 Gradient: 7.15540 -1.04811 0.510650E-01 -1.53563 Reject step, F = 34942.9 Reject step, F = 114.237 Reject step, F = 7.40593 New X: -0.995076E-01 0.648904 0.378982 0.322017 New F: 1.04170 Problem 8 The Penalty Function #1. N = 4 Starting X: 1.00000 2.00000 3.00000 4.00000 Starting F: 885.063 Gradient: 119.000 238.000 357.000 476.000 Reject step, F = 0.174490E+12 Reject step, F = 0.614873E+09 Reject step, F = 0.154503E+07 New X: -0.859375 -1.71875 -2.57813 -3.43750 New F: 479.863 Gradient: -75.3011 -150.602 -225.903 -301.205 Reject step, F = 0.276381E+11 Reject step, F = 0.937598E+08 Reject step, F = 196887. New X: 0.317205 0.634410 0.951615 1.26882 New F: 7.66499 Gradient: 3.51281 7.02563 10.5385 14.0513 Reject step, F = 93702.3 Reject step, F = 84.4860 New X: 0.976548E-01 0.195308 0.292962 0.390615 New F: 0.132571E-02 Gradient: 0.140788E-01 0.281774E-01 0.422761E-01 0.563747E-01 Reject step, F = 0.166745E-02 New X: 0.941351E-01 0.188264 0.282393 0.376521 New F: 0.274065E-03 Gradient: 0.593828E-02 0.118962E-01 0.178540E-01 0.238119E-01 Reject step, F = 0.304624E-03 New X: 0.926505E-01 0.185290 0.277929 0.370569 New F: 0.800275E-04 Problem 9 The Penalty Function #2. N = 4 Starting X: 0.500000 0.500000 0.500000 0.500000 Starting F: 2.34001 Gradient: 12.6000 9.00000 6.00000 3.00000 Reject step, F = 753818. Reject step, F = 1478.08 New X: -0.287500 -0.624999E-01 0.125000 0.312500 New F: 0.517244 Gradient: 1.45725 0.396560 -0.528753 -0.660939 Reject step, F = 189.046 Reject step, F = 2.02142 New X: -0.378578 -0.872850E-01 0.158047 0.353809 New F: 0.387077 Gradient: 0.228258 0.239564 -0.289191 -0.323694 Reject step, F = 3.38191 Reject step, F = 0.418268 Reject step, F = 0.373790 Reject step, F = 0.382736 Reject step, F = 0.385932 Reject step, F = 0.386787 Repeated step reductions do not help. Problem abandoned. Problem 10 The Brown Badly Scaled Function. N = 2 Starting X: 1.00000 1.00000 Starting F: 0.999998E+12 Gradient: -0.200000E+07 -0.400000E-05 Reject step, F = 0.500003E+13 New X: 500001. 1.00000 New F: 0.499999E+12 Gradient: 2.00000 0.500001E+12 Reject step, F = 0.624999E+35 Reject step, F = 0.390627E+34 Reject step, F = 0.244142E+33 Reject step, F = 0.152589E+32 Reject step, F = 0.953680E+30 Reject step, F = 0.596050E+29 Repeated step reductions do not help. Problem abandoned. Problem 11 The Brown and Dennis Function. N = 4 Starting X: 25.0000 5.00000 -5.00000 -1.00000 Starting F: 0.792669E+07 Gradient: 0.114932E+07 0.177929E+07 -254580. -173400. Reject step, F = 0.241869E+29 Reject step, F = 0.944783E+26 Reject step, F = 0.369025E+24 Reject step, F = 0.144103E+22 Reject step, F = 0.562158E+19 Reject step, F = 0.218440E+17 Repeated step reductions do not help. Problem abandoned. Problem 12 The Gulf R&D Function. N = 3 Starting X: 40.0000 20.0000 1.20000 Starting F: 1.20538 Gradient: 0.233869E-01 -0.147849 -5.28698 Reject step, F = 32.8350 Reject step, F = 31.8463 Reject step, F = 8.08284 Reject step, F = 1.38377 New X: 39.9999 20.0006 1.22065 New F: 1.13451 Gradient: -0.901694E-02 -0.247878 -1.55928 Reject step, F = 32.5227 Reject step, F = 11.1914 Reject step, F = 1.82086 Reject step, F = 1.14891 Reject step, F = 1.12811 Reject step, F = 1.13229 Repeated step reductions do not help. Problem abandoned. Problem 13 The Trigonometric Function. N = 4 Starting X: 0.250000 0.250000 0.250000 0.250000 Starting F: 0.130531E-01 Gradient: 0.429807E-01 -0.320023E-01 -0.762206E-01 -0.896742E-01 New X: 0.207019 0.282002 0.326221 0.339674 New F: 0.543699E-02 Gradient: 0.342033E-01 0.411894E-01 0.211105E-01 0.732341E-01 Reject step, F = 0.545060E-02 New X: 0.198468 0.271705 0.320943 0.321366 New F: 0.395595E-02 Gradient: 0.251288E-01 0.248484E-01 -0.730696E-02 0.225498E-01 New X: 0.173340 0.246857 0.328250 0.298816 New F: 0.290620E-02 Gradient: 0.679148E-02 0.154536E-01 -0.320808E-01 -0.170922E-01 New X: 0.166548 0.231403 0.360331 0.315908 New F: 0.223357E-02 Gradient: 0.165458E-02 0.298845E-01 0.998898E-02 0.342616E-01 New X: 0.164894 0.201518 0.350342 0.281646 New F: 0.185571E-02 Problem 14 The Extended Rosenbrock Function. N = 4 Starting X: -1.20000 1.00000 -1.20000 1.00000 Starting F: 48.4000 Gradient: -215.600 -88.0000 -215.600 -88.0000 Reject step, F = 0.420965E+12 Reject step, F = 0.151723E+10 Reject step, F = 0.415758E+07 Reject step, F = 1087.09 Reject step, F = 299.282 New X: -0.989453 1.08594 -0.989453 1.08594 New F: 10.2022 Gradient: 38.3380 21.3840 38.3380 21.3840 Reject step, F = 0.491069E+09 Reject step, F = 0.269466E+07 Reject step, F = 27476.0 Reject step, F = 641.023 Reject step, F = 26.6042 New X: -1.02689 1.06505 -1.02689 1.06505 New F: 8.23883 Gradient: 0.278164 2.10925 0.278164 2.10925 Reject step, F = 1520.23 Reject step, F = 97.0822 Reject step, F = 13.3062 Reject step, F = 8.44850 Reject step, F = 8.22540 Reject step, F = 8.23136 Repeated step reductions do not help. Problem abandoned. Problem 15 The Extended Powell Singular Function. N = 4 Starting X: 3.00000 -1.00000 0.00000 1.00000 Starting F: 215.000 Gradient: 306.000 -144.000 -2.00000 -310.000 Reject step, F = 0.142163E+13 Reject step, F = 0.533939E+10 Reject step, F = 0.177586E+08 Reject step, F = 34089.1 New X: 1.80469 -0.437500 0.781250E-02 2.21094 New F: 31.1898 Gradient: -7.82251 -51.7784 -21.2870 24.7131 Reject step, F = 0.109454E+08 Reject step, F = 52702.2 Reject step, F = 989.253 Reject step, F = 42.8625 New X: 1.83524 -0.235241 0.909647E-01 2.11440 New F: 20.8300 Gradient: -1.90450 -10.6336 -19.6536 21.1046 Reject step, F = 0.340453E+07 Reject step, F = 13321.8 Reject step, F = 82.2698 New X: 1.86500 -0.690899E-01 0.398052 1.78464 New F: 11.5525 Gradient: 2.36896 20.8915 -8.68473 13.8452 Reject step, F = 0.256826E+07 Reject step, F = 15350.3 Reject step, F = 261.259 Reject step, F = 14.5035 New X: 1.85575 -0.150697 0.431976 1.73056 New F: 9.61561 Gradient: 0.776030 2.79714 -4.62907 12.9074 Reject step, F = 256973. Reject step, F = 1352.35 Reject step, F = 18.1648 New X: 1.84362 -0.194402 0.504306 1.52888 New F: 7.45151 Problem 16 The Beale Function. N = 2 Starting X: 1.00000 1.00000 Starting F: 14.2031 Gradient: -0.00000 27.7500 Reject step, F = 0.366842E+09 Reject step, F = 44499.3 New X: 1.00000 -0.734375 New F: 4.76686 Gradient: -4.26701 -1.74816 Reject step, F = 16.3143 New X: 2.06675 -0.297334 New F: 1.78326 Gradient: 1.36344 -5.22989 Reject step, F = 7818.47 Reject step, F = 14.6966 New X: 1.98154 0.295339E-01 New F: 0.666056 Gradient: -1.00587 -1.60651 Reject step, F = 226.044 New X: 2.23300 0.431162 New F: 0.565539 Gradient: -2.01541 4.11248 Reject step, F = 49041.3 Reject step, F = 8.96092 New X: 2.35897 0.174132 New F: 0.279837 Problem 17 The Wood Function. N = 4 Starting X: -3.00000 -1.00000 -3.00000 -1.00000 Starting F: 19192.0 Gradient: -12008.0 -2080.00 -10808.0 -1880.00 Reject step, F = 0.330367E+19 Reject step, F = 0.128635E+17 Reject step, F = 0.496052E+14 Reject step, F = 0.183968E+12 Reject step, F = 0.580056E+09 Reject step, F = 849067. Repeated step reductions do not help. Problem abandoned. Problem 18 The Chebyquad Function N = 4 Starting X: 0.200000 0.400000 0.600000 0.800000 Starting F: 0.711839E-01 Gradient: 0.617062 0.188211 -0.188211 -0.617062 Reject step, F = 1032.51 Reject step, F = 0.905045E-01 New X: 0.161434 0.388237 0.611763 0.838566 New F: 0.385551E-01 Gradient: 0.323898 -0.232990 0.232990 -0.323898 Reject step, F = 39.1376 Reject step, F = 0.377030E-01 New X: 0.141190 0.402799 0.597201 0.858810 New F: 0.190395E-01 Gradient: 0.353728 -0.135401 0.135401 -0.353728 Reject step, F = 90.5632 Reject step, F = 0.154644 New X: 0.119082 0.411261 0.588739 0.880918 New F: 0.387076E-02 Gradient: 0.224743 -0.396209E-01 0.396209E-01 -0.224743 Reject step, F = 14.8780 Reject step, F = 0.769863E-01 New X: 0.105036 0.413738 0.586262 0.894964 New F: 0.326614E-03 Gradient: 0.118065E-02 0.417337E-01 -0.417337E-01 -0.118065E-02 Reject step, F = 0.134828E-01 New X: 0.104740 0.403304 0.596696 0.895260 New F: 0.241461E-03 Problem 19 The Leon Cube Function N = 2 Starting X: -1.20000 -1.00000 Starting F: 57.8384 Gradient: -633.392 145.600 Reject step, F = 0.638402E+19 Reject step, F = 0.150613E+16 Reject step, F = 0.320081E+12 Reject step, F = 0.436975E+08 Reject step, F = 1323.19 Reject step, F = 91.9179 Repeated step reductions do not help. Problem abandoned. Problem 20 The Gregory and Karney Tridiagonal Matrix Function N = 4 Starting X: 0.00000 0.00000 0.00000 0.00000 Starting F: 0.00000 Gradient: -2.00000 0.00000 0.00000 0.00000 New X: 2.00000 0.00000 0.00000 0.00000 New F: 0.00000 Gradient: 0.00000 -2.00000 0.00000 0.00000 New X: 2.00000 2.00000 0.00000 0.00000 New F: 0.00000 Gradient: -2.00000 2.00000 -2.00000 0.00000 Reject step, F = 16.0000 New X: 2.50000 1.50000 0.500000 0.00000 New F: -2.75000 Gradient: -1.00000 0.00000 -0.500000 -0.500000 Reject step, F = -2.25000 New X: 2.75000 1.50000 0.625000 0.125000 New F: -2.90625 Gradient: -0.750000 -0.375000 -0.375000 -0.375000 New X: 3.50000 1.87500 1.00000 0.500000 New F: -3.09375 Problem 21 The Hilbert Matrix Function F = x'Ax N = 4 Starting X: 1.00000 1.00000 1.00000 1.00000 Starting F: 5.07619 Gradient: 4.16667 2.56667 1.90000 1.51905 Reject step, F = 19.9153 New X: -0.416667E-01 0.358333 0.525000 0.620238 New F: 0.403688 Gradient: 0.935119 0.707817 0.568135 0.474711 Reject step, F = 1.28171 New X: -0.275446 0.181379 0.382966 0.501560 New F: 0.978928E-01 Gradient: 0.136577 0.237580 0.227432 0.205787 Reject step, F = 0.111967 New X: -0.309591 0.121984 0.326108 0.450114 New F: 0.670529E-01 Gradient: -0.547351E-01 0.114832 0.135079 0.131305 New X: -0.254856 0.715239E-02 0.191029 0.318809 New F: 0.337781E-01 Gradient: -0.215802 -0.270493E-01 0.163536E-01 0.301977E-01 Reject step, F = 0.321376E-01 New X: -0.200905 0.139147E-01 0.186941 0.311259 New F: 0.245853E-01 Problem 22 The De Jong Function F1 N = 3 Starting X: -5.12000 0.00000 5.12000 Starting F: 52.4288 Gradient: -10.2400 0.00000 10.2400 Reject step, F = 52.4288 New X: -2.56000 0.00000 2.56000 New F: 13.1072 Gradient: -5.12000 0.00000 5.12000 Reject step, F = 13.1072 New X: -1.28000 0.00000 1.28000 New F: 3.27680 Gradient: -2.56000 0.00000 2.56000 Reject step, F = 3.27680 New X: -0.640000 0.00000 0.640000 New F: 0.819200 Gradient: -1.28000 0.00000 1.28000 Reject step, F = 0.819200 New X: -0.320000 0.00000 0.320000 New F: 0.204800 Gradient: -0.640000 0.00000 0.640000 Reject step, F = 0.204800 New X: -0.160000 0.00000 0.160000 New F: 0.512000E-01 Problem 23 The De Jong Function F2 N = 2 Starting X: -2.04800 2.04800 Starting F: 469.952 Gradient: -1764.35 -429.261 Reject step, F = 0.964271E+15 Reject step, F = 0.371125E+13 Reject step, F = 0.136504E+11 Reject step, F = 0.412828E+08 Reject step, F = 38979.1 Reject step, F = 559.458 Repeated step reductions do not help. Problem abandoned. Problem 24 The De Jong Function F3, (discontinuous) N = 5 Starting X: -5.12000 -2.56000 0.00000 2.56000 5.12000 Starting F: 0.00000 Gradient: 0.00000 0.00000 0.00000 0.00000 0.00000 Terminate because of zero gradient. Problem 25 The De Jong Function F4 (with Gaussian noise) N = 30 Starting X: -1.28000 -1.19172 -1.10345 -1.01517 -0.926897 -0.838621 -0.750345 -0.662069 -0.573793 -0.485517 -0.397241 -0.308966 -0.220690 -0.132414 -0.441379E-01 0.441379E-01 0.132414 0.220690 0.308966 0.397241 0.485517 0.573793 0.662069 0.750345 0.838621 0.926897 1.01517 1.10345 1.19172 1.28000 Starting F: 284.843 Gradient: -8.38861 -13.5400 -16.1227 -16.7394 -15.9266 -14.1549 -11.8288 -9.28666 -6.80093 -4.57798 -2.75814 -1.41570 -0.558920 -0.130013 -0.515926E-02 0.550321E-02 0.157873 0.773889 2.24153 5.01480 9.61376 16.6245 26.6992 40.5559 58.9789 82.8185 112.991 150.478 196.329 251.658 Reject step, F = 0.179661E+12 Reject step, F = 0.655246E+09 Reject step, F = 0.192382E+07 Reject step, F = 1931.93 New X: -1.24723 -1.13883 -1.04047 -0.949784 -0.864683 -0.783328 -0.704139 -0.625793 -0.547227 -0.467635 -0.386467 -0.303435 -0.218506 -0.131906 -0.441178E-01 0.441164E-01 0.131797 0.217667 0.300210 0.377652 0.447963 0.508854 0.557775 0.591923 0.608234 0.603387 0.573802 0.515642 0.424813 0.296960 New F: 43.2751 Gradient: -7.76071 -11.8160 -13.5166 -13.7087 -12.9301 -11.5357 -9.77535 -7.84227 -5.89936 -4.09053 -2.53975 -1.34104 -0.542495 -0.128523 -0.515219E-02 0.549517E-02 0.155678 0.742520 2.05630 4.30890 7.55105 11.5947 15.9649 19.9098 22.5016 22.8466 20.4037 15.3555 8.89304 3.14250 Reject step, F = 0.232922E+08 Reject step, F = 62125.9 New X: -0.762187 -0.400333 -0.195679 -0.929933E-01 -0.565535E-01 -0.623497E-01 -0.931790E-01 -0.135651 -0.178517 -0.211976 -0.227733 -0.219621 -0.184600 -0.123873 -0.437958E-01 0.437730E-01 0.122067 0.171259 0.171691 0.108346 -0.239769E-01 -0.215818 -0.440030 -0.652442 -0.798114 -0.824524 -0.701432 -0.444076 -0.131002 0.100554 New F: 35.5966 Gradient: -1.77111 -0.513280 -0.899113E-01 -0.128669E-01 -0.361751E-02 -0.581721E-02 -0.226523E-01 -0.798763E-01 -0.204805 -0.380998 -0.519673 -0.508465 -0.327116 -0.106444 -0.504020E-02 0.536783E-02 0.123682 0.361654 0.384639 0.101749 -0.115787E-02 -0.884599 -7.83854 -26.6622 -50.8387 -58.2966 -37.2718 -9.80819 -0.260793 0.122005 Reject step, F = 0.499980E+09 Reject step, F = 0.161333E+07 Reject step, F = 2658.56 New X: -0.734514 -0.392313 -0.194274 -0.927923E-01 -0.564970E-01 -0.622588E-01 -0.928251E-01 -0.134403 -0.175317 -0.206023 -0.219613 -0.211676 -0.179489 -0.122210 -0.437170E-01 0.436891E-01 0.120135 0.165608 0.165681 0.106756 -0.239588E-01 -0.201996 -0.317553 -0.235845 -0.375924E-02 0.863602E-01 -0.119060 -0.290823 -0.126928 0.986475E-01 New F: 1.03551 Gradient: -1.58511 -0.483045 -0.879886E-01 -0.127837E-01 -0.360667E-02 -0.579181E-02 -0.223952E-01 -0.776918E-01 -0.193987 -0.349791 -0.466044 -0.455256 -0.300690 -0.102214 -0.501306E-02 0.533703E-02 0.117900 0.327023 0.345644 0.973351E-01 -0.115525E-02 -0.725292 -2.94602 -1.25936 -0.531251E-05 0.669845E-01 -0.182271 -2.75488 -0.237206 0.115197 Reject step, F = 2158.68 Reject step, F = 1.45611 New X: -0.635444 -0.362123 -0.188775 -0.919933E-01 -0.562716E-01 -0.618969E-01 -0.914254E-01 -0.129547 -0.163193 -0.184161 -0.190485 -0.183222 -0.160696 -0.115822 -0.434037E-01 0.433555E-01 0.112766 0.145169 0.144078 0.100673 -0.238866E-01 -0.156666 -0.133426 -0.157135 -0.375891E-02 0.821737E-01 -0.107668 -0.118643 -0.112102 0.914477E-01 New F: 0.334810 Gradient: -1.02634 -0.379889 -0.807261E-01 -0.124563E-01 -0.356367E-02 -0.569137E-02 -0.213973E-01 -0.695717E-01 -0.156460 -0.249836 -0.304114 -0.295241 -0.215784 -0.870077E-01 -0.490604E-02 0.521572E-02 0.975086E-01 0.220271 0.227303 0.816255E-01 -0.114484E-02 -0.338379 -0.218531 -0.372467 -0.531110E-05 0.577074E-01 -0.134797 -0.187043 -0.163418 0.917698E-01 New X: 0.390899 0.177666E-01 -0.108049 -0.795370E-01 -0.527079E-01 -0.562055E-01 -0.700281E-01 -0.599753E-01 -0.673235E-02 0.656748E-01 0.113629 0.112019 0.550881E-01 -0.288140E-01 -0.384977E-01 0.381398E-01 0.152574E-01 -0.751016E-01 -0.832253E-01 0.190472E-01 -0.227418E-01 0.181713 0.851048E-01 0.215332 -0.375360E-02 0.244663E-01 0.271293E-01 0.683999E-01 0.513160E-01 -0.322099E-03 New F: 0.107518 Problem 26 The De Jong Function F5 N = 2 Starting X: -32.0100 -32.0200 Starting F: 0.200000E-02 Gradient: -0.112914E-12 -0.232173E-13 Reject step, F = 0.200000E-02 Reject step, F = 0.200000E-02 Reject step, F = 0.200000E-02 Reject step, F = 0.200000E-02 Reject step, F = 0.200000E-02 Reject step, F = 0.200000E-02 Repeated step reductions do not help. Problem abandoned. Problem 27 The Schaffer Function F6 N = 2 Starting X: -5.00000 10.0000 Starting F: 0.868394 Gradient: 0.134173 -0.268346 New X: -5.13417 10.2683 New F: 0.720791 Gradient: 0.291907 -0.583814 New X: -5.42608 10.8522 New F: 0.254029 Gradient: 0.254316 -0.508632 New X: -5.68040 11.3608 New F: 0.142779 Gradient: -0.956775E-01 0.191355 New X: -5.58472 11.1694 New F: 0.130417 Gradient: 0.452284E-01 -0.904569E-01 Reject step, F = 0.127823 Reject step, F = 0.128336 Reject step, F = 0.129807 Reject step, F = 0.130259 Reject step, F = 0.130377 Reject step, F = 0.130407 Repeated step reductions do not help. Problem abandoned. Problem 28 The Schaffer Function F7 N = 2 Starting X: -5.00000 10.0000 Starting F: 4.56376 Gradient: 1.99567 -3.99135 Reject step, F = 7.63075 Reject step, F = 5.68423 New X: -5.12473 10.2495 New F: 3.58955 Gradient: 0.954950 -1.90990 Reject step, F = 4.72342 Reject step, F = 4.24949 Reject step, F = 3.41683 Reject step, F = 3.52507 Reject step, F = 3.57215 Reject step, F = 3.58512 Repeated step reductions do not help. Problem abandoned. Problem 29 The Goldstein Price Polynomial N = 2 Starting X: -0.500000 0.250000 Starting F: 2738.74 Gradient: -2512.54 16362.5 Reject step, F = 0.283955E+37 Reject step, F = 0.433329E+32 Reject step, F = 0.661493E+27 Reject step, F = 0.101098E+23 Reject step, F = 0.154971E+18 Reject step, F = 0.234060E+13 Repeated step reductions do not help. Problem abandoned. Problem 30 The Branin RCOS Function N = 2 Starting X: -1.00000 1.00000 Starting F: 60.3563 Gradient: -16.7857 -13.4415 New X: 15.7857 14.4415 New F: 2.31441 Gradient: -6.08772 2.74774 Reject step, F = 454.222 Reject step, F = 21.8191 New X: 16.1662 14.2697 New F: 1.44476 Gradient: 3.02134 0.474353 Reject step, F = 58.9310 Reject step, F = 4.80916 New X: 15.9774 14.2401 New F: 1.22188 Gradient: -0.950350 1.38223 Reject step, F = 17.0559 Reject step, F = 1.67565 New X: 16.0368 14.1537 New F: 1.11804 Gradient: 0.785531 0.907217 Reject step, F = 3.54664 New X: 15.8404 13.9269 New F: 1.00462 Problem 31 The Shekel SQRN5 Function N = 4 Starting X: 1.00000 3.00000 5.00000 6.00000 Starting F: -0.167128 Gradient: -0.422392E-01 -0.251237E-01 0.164058E-01 0.188599E-01 New X: 1.04224 3.02512 4.98359 5.98114 New F: -0.170213 Gradient: -0.435464E-01 -0.257696E-01 0.168183E-01 0.195039E-01 New X: 1.08579 3.05089 4.96678 5.96164 New F: -0.173486 Gradient: -0.449561E-01 -0.264541E-01 0.172605E-01 0.202083E-01 New X: 1.13074 3.07735 4.94952 5.94143 New F: -0.176969 Gradient: -0.464816E-01 -0.271812E-01 0.177364E-01 0.209823E-01 New X: 1.17722 3.10453 4.93178 5.92045 New F: -0.180685 Gradient: -0.481389E-01 -0.279550E-01 0.182503E-01 0.218369E-01 New X: 1.22536 3.13248 4.91353 5.89861 New F: -0.184664 Problem 32 The Shekel SQRN7 Function N = 4 Starting X: 1.00000 3.00000 5.00000 6.00000 Starting F: -0.215144 Gradient: -0.501005E-01 -0.326127E-01 0.219539E-01 0.223299E-01 New X: 1.05010 3.03261 4.97805 5.97767 New F: -0.219776 Gradient: -0.519376E-01 -0.335386E-01 0.225814E-01 0.232782E-01 New X: 1.10204 3.06615 4.95546 5.95439 New F: -0.224738 Gradient: -0.539451E-01 -0.345278E-01 0.232605E-01 0.243313E-01 New X: 1.15598 3.10068 4.93220 5.93006 New F: -0.230073 Gradient: -0.561496E-01 -0.355875E-01 0.239986E-01 0.255080E-01 New X: 1.21213 3.13627 4.90821 5.90455 New F: -0.235833 Gradient: -0.585839E-01 -0.367260E-01 0.248050E-01 0.268316E-01 New X: 1.27072 3.17299 4.88340 5.87772 New F: -0.242080 Problem 33 The Shekel SQRN10 Function N = 4 Starting X: 1.00000 3.00000 5.00000 6.00000 Starting F: -0.270985 Gradient: -0.627267E-01 -0.315878E-01 0.182764E-01 0.300663E-01 New X: 1.06273 3.03159 4.98172 5.96993 New F: -0.277271 Gradient: -0.651219E-01 -0.326184E-01 0.189495E-01 0.313679E-01 New X: 1.12785 3.06421 4.96277 5.93857 New F: -0.284052 Gradient: -0.677646E-01 -0.337336E-01 0.196950E-01 0.328272E-01 New X: 1.19561 3.09794 4.94308 5.90574 New F: -0.291401 Gradient: -0.706996E-01 -0.349456E-01 0.205269E-01 0.344765E-01 New X: 1.26631 3.13289 4.92255 5.87126 New F: -0.299409 Gradient: -0.739840E-01 -0.362694E-01 0.214631E-01 0.363575E-01 New X: 1.34030 3.16915 4.90109 5.83490 New F: -0.308192 Problem 34 The Six-Hump Camel-Back Polynomial N = 2 Starting X: -1.50000 0.500000 Starting F: 0.665625 Gradient: 1.66250 -3.50000 Reject step, F = 1110.77 Reject step, F = 6.97285 New X: -1.60391 0.718750 New F: -0.842702E-01 Gradient: 1.31774 -1.41299 Reject step, F = 146.650 Reject step, F = 1.63212 New X: -1.68627 0.807062 New F: -0.211130 Gradient: 0.325540 0.268099 Reject step, F = 1.98048 Reject step, F = -0.134594 New X: -1.70661 0.790306 New F: -0.214988 Gradient: -0.636580E-01 -0.131274 Reject step, F = 0.259901E-01 New X: -1.69070 0.823124 New F: -0.205113 Gradient: 0.264330 0.647414 Reject step, F = 2.75918 Reject step, F = -0.454848E-02 New X: -1.70722 0.782661 New F: -0.213301 Problem 35 The Shubert Function N = 2 Starting X: 0.500000 1.00000 Starting F: -3.10442 Gradient: 39.5725 33.6750 Reject step, F = 105.929 Reject step, F = -2.66027 Reject step, F = 7.35794 New X: -0.118321 0.473828 New F: -17.8712 Gradient: 42.1258 156.599 Reject step, F = 6.41388 New X: -10.6498 -38.6759 New F: -19.3010 Gradient: 110.300 -110.911 New X: -120.949 72.2348 New F: -20.4388 Gradient: -80.8878 -170.016 Reject step, F = -1.76242 Reject step, F = 11.0973 Reject step, F = 1.79970 New X: -119.686 74.8913 New F: -20.6877 Gradient: -87.8285 416.541 Reject step, F = 1.50679 Reject step, F = -5.37395 New X: -114.196 48.8575 New F: -20.7785 Problem 36 The Stuckman Function N = 2 Starting X: 0.500000 1.00000 Starting F: -3.00000 Gradient: 0.00000 0.00000 Terminate because of zero gradient. Problem 37 The Easom Function N = 2 Starting X: 0.500000 1.00000 Starting F: -0.450356E-05 Gradient: -0.213329E-04 -0.122757E-04 New X: 0.500021 1.00001 New F: -0.450417E-05 Gradient: -0.213354E-04 -0.122771E-04 New X: 0.500043 1.00002 New F: -0.450478E-05 Gradient: -0.213380E-04 -0.122784E-04 New X: 0.500064 1.00004 New F: -0.450538E-05 Gradient: -0.213405E-04 -0.122798E-04 New X: 0.500085 1.00005 New F: -0.450599E-05 Gradient: -0.213431E-04 -0.122811E-04 New X: 0.500107 1.00006 New F: -0.450659E-05 Problem 38 The Bohachevsky Function #1 N = 2 Starting X: 0.500000 1.00000 Starting F: 2.55000 Gradient: -1.82743 4.00000 Reject step, F = 24.0165 New X: 0.956858 0.666134E-15 New F: 1.49112 Gradient: 3.03194 0.447412E-13 Reject step, F = 4.37797 New X: 0.198874 -0.105192E-13 New F: 0.429224 Gradient: 3.09592 -0.706525E-12 Reject step, F = 8.86235 Reject step, F = 0.435686 New X: 0.537953E-02 0.336386E-13 New F: 0.414444E-03 Gradient: 0.154051 0.225935E-11 Reject step, F = 0.271467 Reject step, F = 0.156065E-01 New X: -0.424866E-02 -0.107571E-12 New F: 0.258531E-03 Gradient: -0.121685 -0.722506E-11 Reject step, F = 0.179537 Reject step, F = 0.976580E-02 New X: 0.335665E-02 0.343995E-12 New F: 0.161377E-03 Problem 39 The Bohachevsky Function #2 N = 2 Starting X: 0.600000 1.30000 Starting F: 4.23635 Gradient: 2.54452 3.40730 Reject step, F = 12.9053 New X: -0.361311E-01 0.448175 New F: 0.478130 Gradient: -0.823302 -0.361339 Reject step, F = 2.32296 Reject step, F = 0.916358 Reject step, F = 0.466404 Reject step, F = 0.467567 Reject step, F = 0.475095 Reject step, F = 0.477348 Repeated step reductions do not help. Problem abandoned. Problem 40 The Bohachevsky Function #3 N = 2 Starting X: 0.500000 1.00000 Starting F: 3.55000 Gradient: -1.82743 4.00000 Reject step, F = 25.0165 New X: 0.956858 -0.155431E-14 New F: 2.49112 Gradient: 3.03194 0.239230E-12 Reject step, F = 5.37797 New X: 0.198874 -0.613618E-13 New F: 1.42922 Gradient: 3.09592 0.944442E-11 Reject step, F = 9.86235 Reject step, F = 1.43569 New X: 0.537953E-02 -0.651638E-12 New F: 1.00041 Gradient: 0.154051 0.100296E-09 Reject step, F = 1.27147 Reject step, F = 1.01561 Reject step, F = 1.00026 Reject step, F = 1.00013 Reject step, F = 1.00033 Reject step, F = 1.00039 Repeated step reductions do not help. Problem abandoned. Problem 41 The Colville Polynomial N = 4 Starting X: 0.500000 1.00000 -0.500000 -1.00000 Starting F: 239.775 Gradient: -151.000 110.400 -228.000 -265.400 Reject step, F = 0.291811E+12 Reject step, F = 0.110190E+10 Reject step, F = 0.380455E+07 Reject step, F = 11429.3 New X: 1.08984 0.568750 0.390625 0.367187E-01 New F: 59.3805 Gradient: 270.029 -151.586 15.0753 -48.8535 Reject step, F = 0.520943E+12 Reject step, F = 0.191217E+10 Reject step, F = 0.572321E+07 Reject step, F = 4802.55 Reject step, F = 140.928 New X: 0.826143 0.716783 0.375903 0.844272E-01 New F: 15.2393 Gradient: -11.6726 -16.9953 6.44853 -34.3399 Reject step, F = 0.194428E+07 Reject step, F = 14154.9 Reject step, F = 530.414 Reject step, F = 28.9932 New X: 0.871739 0.783171 0.350713 0.218567 New F: 11.3112 Gradient: -8.36067 -15.2040 -13.3646 -2.87598 Reject step, F = 0.356351E+07 Reject step, F = 16389.6 Reject step, F = 96.4748 New X: 1.00237 1.02073 0.559536 0.263505 New F: 5.62122 Gradient: -6.40190 -10.9680 9.10524 -23.3903 Reject step, F = 414356. Reject step, F = 2438.58 Reject step, F = 296.378 Reject step, F = 19.3770 New X: 1.02738 1.06358 0.523968 0.354873 New F: 4.24684 Problem 42 The Powell 3D Function N = 3 Starting X: 0.00000 1.00000 2.00000 Starting F: 2.50000 Gradient: -0.499999 3.64159 1.57080 Reject step, F = 3.81991 New X: 0.125000 0.896023E-01 1.60730 New F: 1.77695 Gradient: 0.706179E-01 -2.53103 -0.137161 Reject step, F = 2.08544 New X: 0.107345 0.722360 1.64159 New F: 1.31674 Gradient: -0.647536 1.38955 0.326513 Reject step, F = 3.35408 New X: 0.269229 0.374973 1.55996 New F: 1.21617 Gradient: -0.206835 -1.27994 -0.357381 Reject step, F = 3.54481 New X: 0.320938 0.694958 1.64931 New F: 1.14898 Gradient: -0.575703 1.16545 0.248498 Reject step, F = 3.51120 Reject step, F = 1.15892 New X: 0.356920 0.622118 1.63378 New F: 1.06604 Problem 43 The Himmelblau function. N = 2 Starting X: -1.30000 2.70000 Starting F: 44.7122 Gradient: 32.3520 -24.1280 Reject step, F = 0.177972E+07 Reject step, F = 10956.3 Reject step, F = 72.5510 New X: -1.80550 3.07700 New F: 22.1840 Gradient: 35.0023 -1.17316 Reject step, F = 0.181793E+07 Reject step, F = 10813.0 Reject step, F = 66.6791 New X: -2.35241 3.09533 New F: 5.67314 Gradient: 22.7660 -1.91054 Reject step, F = 390602. Reject step, F = 3285.91 Reject step, F = 42.0232 New X: -2.70813 3.12518 New F: 0.295958 Gradient: 5.97606 -0.348685 Reject step, F = 4621.99 Reject step, F = 98.2037 Reject step, F = 2.73264 New X: -2.80151 3.13063 New F: 0.438743E-03 Gradient: 0.233299 -0.500739E-01 Reject step, F = 1.94090 Reject step, F = 0.103924 Reject step, F = 0.412851E-02 New X: -2.80515 3.13141 New F: 0.439878E-06 TEST_OPT_PRB Normal end of execution. January 28 2008 10:46:56.910 AM