17 September 2021 11:54:17.715 PM TEST_OPT_TEST FORTRAN90 version Test the TEST_OPT library. TEST01 For each problem, print the title. Problem Title 1 The Fletcher-Powell helical valley 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 parabolic valley Function. 15 The Extended Powell Singular Quartic Function. 16 The Beale Function. 17 The Wood Function. 18 The Chebyquad Function 19 The Leon cubic valley 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 helical valley 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 parabolic valley Function. N_MIN = 1 N = 4 F(X_START)= 48.4000 F(X_SOL)= 0.00000 Problem 15 The Extended Powell Singular Quartic 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 cubic valley 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)= 284.513 F(X_SOL)= 0.346295 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 F(X_SOL)= 0.397887 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 F(X_SOL)= -1.03163 Problem 35 The Shubert Function N_MIN = 2 N = 2 F(X_START)= 3.03030 F(X_SOL)= 19.8758 Problem 36 The Stuckman Function N_MIN = 2 N = 2 F(X_START)= 96.0000 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 helical valley function. N = 3 X 0.309321E-01 0.921592 0.881190 G -540.594 2.55769 -311.320 G_DIF -540.594 2.55769 -311.320 Problem 2 The Biggs EXP6 function. N = 6 X 0.456728 0.947378 0.834454 0.942334 0.308371 0.729818 G -0.737999 0.138942 -2.86014 3.09363 -0.889334 -2.70493 G_DIF -0.737999 0.138942 -2.86014 3.09363 -0.889334 -2.70493 Problem 3 The Gaussian function. N = 3 X 0.458664 0.869381E-02 0.364029 G 9.22743 -13.0047 -0.119377E-01 G_DIF 9.22743 -13.0047 -0.119377E-01 Problem 4 The Powell badly scaled function. N = 2 X 0.502365 0.287750 G 0.831340E+07 0.145139E+08 G_DIF 0.831340E+07 0.145139E+08 Problem 5 The Box 3-dimensional function. N = 3 X 0.419694 0.599888 0.307421 G 0.601233 -0.551164 1.17249 G_DIF 0.601233 -0.551164 1.17249 Problem 6 The variably dimensioned function. N = 4 X 0.204017 0.264627 0.417924E-01 0.242658 G -2199.87 -4398.02 -6596.74 -8794.61 G_DIF -2199.87 -4398.02 -6596.74 -8794.61 Problem 7 The Watson function. N = 4 X 0.260543 0.460691 0.627254 0.551024 G 37.6769 11.4444 7.65994 0.991193 G_DIF 37.6769 11.4444 7.65994 0.991193 Problem 8 The Penalty Function #1. N = 4 X 0.905407 0.891994 0.334815 0.243527 G 5.56579 5.48334 2.05819 1.49702 G_DIF 5.56579 5.48334 2.05819 1.49702 Problem 9 The Penalty Function #2. N = 4 X 0.879239 0.204628 0.590198 0.200940 G 42.9276 7.25589 13.9519 2.37504 G_DIF 42.9276 7.25589 13.9519 2.37504 Problem 10 The Brown Badly Scaled Function. N = 2 X 0.977813 0.131641 G -0.200000E+07 -3.39624 G_DIF -0.200263E+07 0.00000 Problem 11 The Brown and Dennis Function. N = 4 X 0.907855 0.190104 0.463744 0.307999 G -0.127986E+07 -0.482700E+07 36821.4 -14146.6 G_DIF -0.127986E+07 -0.482700E+07 36821.4 -14146.7 Problem 12 The Gulf R&D Function. N = 3 X 0.698438E-02 0.977413 0.668303 G 0.00000 0.00000 0.00000 G_DIF 0.00000 0.00000 0.00000 Problem 13 The Trigonometric Function. N = 4 X 0.970884 0.123875 0.354098 0.644819 G 4.07219 -0.305902 1.75303 5.76020 G_DIF 4.07219 -0.305902 1.75303 5.76020 Problem 14 The Extended Rosenbrock parabolic valley Function. N = 4 X 0.225173 0.441101 0.113182E-01 0.910456 G -36.7125 78.0797 -6.09866 182.066 G_DIF -36.7125 78.0797 -6.09866 182.066 Problem 15 The Extended Powell Singular Quartic Function. N = 4 X 0.669719 0.378073 0.415521 0.405776 G 9.63641 88.6371 0.840972 -0.832968 G_DIF 9.63641 88.6371 0.840972 -0.832968 Problem 16 The Beale Function. N = 2 X 0.835567 0.904323 G -2.29014 18.5837 G_DIF -2.29014 18.5837 Problem 17 The Wood Function. N = 4 X 0.442133 0.190124 0.954979 0.632599 G -0.168337 -24.7054 95.9606 -73.7465 G_DIF -0.168337 -24.7054 95.9606 -73.7465 Problem 18 The Chebyquad Function N = 4 X 0.230545 0.123654 0.788590 0.114880 G -3.48684 1.18509 2.76679 1.78604 G_DIF -3.48684 1.18509 2.76679 1.78604 Problem 19 The Leon cubic valley function N = 2 X 0.471435 0.819579 G -96.3762 142.960 G_DIF -96.3762 142.960 Problem 20 The Gregory and Karney Tridiagonal Matrix Function N = 4 X 0.759445 0.232313 0.213711 0.612602 G -1.47287 -0.508531 -0.417492 1.01149 G_DIF -0.945736 -1.01706 -0.834984 2.02298 Problem 21 The Hilbert Matrix Function F = x'Ax N = 4 X 0.269356 0.649125 0.280636 0.961582 G 1.85572 1.22706 0.936915 0.762611 G_DIF 1.85572 1.22706 0.936915 0.762611 Problem 22 The De Jong Function F1 N = 3 X 0.880205 0.970650 0.135623 G 1.76041 1.94130 0.271247 G_DIF 1.76041 1.94130 0.271247 Problem 23 The De Jong Function F2 N = 2 X 0.426410 0.187489 G -2.11315 1.13268 G_DIF -2.11315 1.13268 Problem 24 The De Jong Function F3, (discontinuous) N = 5 X 0.185412 0.128029 0.535947 0.353400 0.818599 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 0.141884 0.747026 0.110271 0.643988 0.748243 0.723560 0.503408 0.433705 0.548612 0.779784 0.238810 0.731946 0.828980 0.126354 0.832417E-01 0.191829 0.499458 0.469618 0.182543 0.164523 0.938918E-02 0.944111 0.166756 0.364209 0.841428 0.556431E-01 0.289857 0.647579 0.812494 0.869529 G 0.114251E-01 3.33500 0.160903E-01 4.27321 8.37832 9.09147 3.57205 2.61056 5.94428 18.9663 0.599250 18.8225 29.6234 0.112969 0.346078E-01 0.451775 8.47240 7.45706 0.462282 0.356264 0.695285E-04 74.0545 0.426608 4.63794 59.5731 0.179171E-01 2.63012 30.4156 62.2184 78.8922 G_DIF 0.114248E-01 3.33500 0.160908E-01 4.27321 8.37832 9.09147 3.57205 2.61056 5.94428 18.9663 0.599250 18.8225 29.6234 0.112968 0.346077E-01 0.451774 8.47240 7.45706 0.462282 0.356264 0.694430E-04 74.0545 0.426608 4.63794 59.5731 0.179173E-01 2.63012 30.4156 62.2184 78.8922 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 0.785695E+07 -0.312035E+08 -646098. 0.628646E+07 0.293411E+08 -0.493300E+08 0.168053E+08 0.404904E+07 -0.660033E+07 0.956092E+07 -0.142676E+07 -0.636893E+08 -0.598484E+08 0.235163E+08 -0.162866E+08 -0.945156E+08 0.136918E+08 0.109520E+08 0.255179E+07 -0.317061E+08 -0.961596E+07 -0.211042E+08 -0.441388E+08 158346. -912204. 0.454047E+08 -0.249353E+08 -0.657963E+07 -0.452091E+08 0.798777E+07 Problem 26 The De Jong Function F5 N = 2 X 0.747793 0.934822 G 0.340174E-07 0.103858E-06 G_DIF 0.340279E-07 0.103858E-06 Problem 27 The Schaffer Function F6 N = 2 X 0.906960 0.462401 G 0.793734 0.404674 G_DIF 0.793734 0.404674 Problem 28 The Schaffer Function F7 N = 2 X 0.771572 0.780039 G 7.12502 7.20321 G_DIF 7.12502 7.20321 Problem 29 The Goldstein Price Polynomial N = 2 X 0.372765 0.895900 G -23221.6 31384.9 G_DIF -23221.6 31384.9 Problem 30 The Branin RCOS Function N = 2 X 0.909354 0.890258 G -17.8039 -7.53857 G_DIF -17.8039 -7.53857 Problem 31 The Shekel SQRN5 Function N = 4 X 0.180983 0.333989 0.647245 0.608959 G -0.651119 -0.530969 -0.282513 -0.313591 G_DIF -0.651119 -0.530969 -0.282513 -0.313591 Problem 32 The Shekel SQRN7 Function N = 4 X 0.201252 0.723436E-01 0.997557 0.948627 G -0.560212 -0.651030 -0.704507E-02 -0.424328E-01 G_DIF -0.560212 -0.651030 -0.704508E-02 -0.424328E-01 Problem 33 The Shekel SQRN10 Function N = 4 X 0.427718 0.139260 0.289299 0.333351 G -0.243530 -0.359593 -0.298996 -0.279086 G_DIF -0.243530 -0.359593 -0.298996 -0.279086 Problem 34 The Six-Hump Camel-Back Polynomial N = 2 X 0.202003 0.444760 G 1.99222 -1.94842 G_DIF 1.99222 -1.94842 Problem 35 The Shubert Function N = 2 X 0.897767 0.764803 G -35.8443 27.1274 G_DIF -68.3066 0.00000 Problem 36 The Stuckman Function N = 2 X 0.230451 0.954222 G 0.00000 0.00000 G_DIF 0.00000 0.00000 Problem 37 The Easom Function N = 2 X 0.748454 0.464839 G -0.636170E-05 -0.800170E-05 G_DIF -0.636170E-05 -0.800170E-05 Problem 38 The Bohachevsky Function #1 N = 2 X 0.285332 0.928481 G 1.80662 -0.219543 G_DIF 1.80662 -0.219543 Problem 39 The Bohachevsky Function #2 N = 2 X 0.678442 0.285959 G 1.07517 -0.492172 G_DIF 1.07517 -0.492172 Problem 40 The Bohachevsky Function #3 N = 2 X 0.152566 0.278516 G 3.10764 5.52131 G_DIF 3.10764 5.52131 Problem 41 The Colville Polynomial N = 4 X 0.446182 0.665431 0.718447E-01 0.324000 G -84.3389 73.1273 -10.1028 37.1112 G_DIF -84.3389 73.1273 -10.1028 37.1112 Problem 42 The Powell 3D Function N = 3 X 0.792598E-01 0.147931 0.424221 G -0.136056 -0.527074 -0.231241 G_DIF -0.136056 -0.527074 -0.231241 Problem 43 The Himmelblau function. N = 2 X 0.931361 0.599677 G -46.9323 -32.7601 G_DIF -46.9323 -32.7601 TEST04 For each problem, compare the exact and approximate Hessians at the starting point. Problem 1 The Fletcher-Powell helical valley function. N = 3 X: 0.974873 0.257077 0.905279 H: 143.08 60.859 80.505 60.859 556.94 -305.28 80.505 -305.28 202.00 H_DIF: 143.08 60.859 80.505 60.859 556.94 -305.28 80.505 -305.28 202.00 Problem 2 The Biggs EXP6 function. N = 6 X: 0.490077 0.135162E-01 0.725451E-01 0.563602 0.698861 0.841002 H: -0.38770 -0.40609 7.2075 0.85017 0.31643 -0.48816 -0.40609 10.149 6.6050 -21.264 -3.8470 5.5470 7.2075 6.6050 13.990 -18.602 -5.6591 12.464 0.85017 -21.264 -18.602 25.514 8.2772 -16.358 0.31643 -3.8470 -5.6591 8.2772 -1.0137 1.8480 -0.48816 5.5470 12.464 -16.358 1.8480 11.166 H_DIF: -0.38770 -0.40609 7.2075 0.85017 0.31641 -0.48814 -0.40609 10.149 6.6050 -21.264 -3.8470 5.5470 7.2075 6.6050 13.990 -18.602 -5.6591 12.464 0.85017 -21.264 -18.602 25.514 8.2772 -16.358 0.31641 -3.8470 -5.6591 8.2772 -1.0137 1.8480 -0.48814 5.5470 12.464 -16.358 1.8480 11.166 Problem 3 The Gaussian function. N = 3 X: 0.622604E-01 0.331174 0.993928 H: 12.172 0.94520 0.73880 0.94520 -0.86436E-01 0.80839E-01 0.73880 0.80839E-01 0.34683E-01 H_DIF: 12.172 0.94520 0.73880 0.94520 -0.86435E-01 0.80839E-01 0.73880 0.80839E-01 0.34684E-01 Problem 4 The Powell badly scaled function. N = 2 X: 0.442138 0.196259 H: 0.77035E+07 0.34689E+08 0.34689E+08 0.39097E+08 H_DIF: 0.77035E+07 0.34689E+08 0.34689E+08 0.39097E+08 Problem 5 The Box 3-dimensional function. N = 3 X: 0.792565 0.496514 0.348704 H: 1.0922 -2.9001 3.3213 -2.9001 5.1678 -3.9780 3.3213 -3.9780 6.1280 H_DIF: 1.0922 -2.9001 3.3213 -2.9001 5.1678 -3.9780 3.3213 -3.9780 6.1280 Problem 6 The variably dimensioned function. N = 4 X: 0.100878 0.924227 0.760345 0.155976 H: 321.74 639.48 959.23 1279.0 639.48 1281.0 1918.5 2557.9 959.23 1918.5 2879.7 3836.9 1279.0 2557.9 3836.9 5117.9 H_DIF: 321.73 639.48 959.23 1279.0 639.48 1281.0 1918.5 2557.9 959.23 1918.5 2879.7 3836.9 1279.0 2557.9 3836.9 5117.9 Problem 7 The Watson function. N = 4 X: 0.584704E-01 0.133229 0.105489 0.317629 H: 85.559 9.8608 -14.223 -27.723 9.8608 45.777 32.277 24.298 -14.223 32.277 44.643 49.689 -27.723 24.298 49.689 64.898 H_DIF: 85.559 9.8608 -14.223 -27.723 9.8608 45.777 32.277 24.298 -14.223 32.277 44.643 49.689 -27.723 24.298 49.689 64.898 Problem 8 The Penalty Function #1. N = 4 X: 0.775541 0.346118 0.611861E-01 0.204171 H: 6.8785 2.1474 0.37962 1.2667 2.1474 3.0252 0.16942 0.56534 0.37962 0.16942 2.0967 0.99940E-01 1.2667 0.56534 0.99940E-01 2.4003 H_DIF: 6.8785 2.1474 0.37962 1.2667 2.1474 3.0252 0.16942 0.56534 0.37962 0.16942 2.0967 0.99940E-01 1.2667 0.56534 0.99940E-01 2.4003 Problem 9 The Penalty Function #2. N = 4 X: 0.687460 0.320235 0.979504 0.742070 H: 121.17 21.134 43.096 16.325 21.134 51.395 15.056 5.7033 43.096 15.056 60.042 11.630 16.325 5.7033 11.630 19.076 H_DIF: 121.17 21.134 43.096 16.325 21.134 51.395 15.056 5.7033 43.096 15.056 60.042 11.630 16.325 5.7033 11.630 19.076 Problem 10 The Brown Badly Scaled Function. N = 2 X: 0.941794 0.145358 H: 2.0423 -3.4524 -3.4524 3.7740 H_DIF: -0.26179E+07 0.0000 0.0000 -0.26179E+07 Problem 11 The Brown and Dennis Function. N = 4 X: 0.942969 0.813133 0.255737 0.801537 H: 85457. 0.31222E+06 -1704.6 -40.477 0.31222E+06 0.11551E+07 -5260.6 428.48 -1704.6 -5260.6 28710. -13200. -40.477 428.48 -13200. 10056. H_DIF: 85486. 0.31220E+06 -1697.7 -19.973 0.31220E+06 0.11555E+07 -5253.0 429.43 -1697.7 -5253.0 28762. -13202. -19.973 429.43 -13202. 10106. Problem 12 The Gulf R&D Function. N = 3 X: 0.809362 0.828196 0.903601 H: -0.12425E-05 -0.36432E-07 0.34337E-05 -0.36432E-07 -0.10738E-08 0.94695E-07 0.34337E-05 0.94695E-07 -0.90709E-05 H_DIF: 0.15238E-03 0.0000 -0.38096E-04 0.0000 0.15238E-03 -0.38096E-04 -0.38096E-04 -0.38096E-04 0.0000 Problem 13 The Trigonometric Function. N = 4 X: 0.815548 0.404252 0.735296 0.926676E-02 H: 7.8765 2.1313 5.8150 -1.3474 2.1313 6.7401 2.9324 -0.73077 5.8150 2.9324 17.689 -1.2185 -1.3474 -0.73077 -1.2185 11.114 H_DIF: 7.8765 2.1313 5.8150 -1.3474 2.1313 6.7401 2.9324 -0.73077 5.8150 2.9324 17.689 -1.2185 -1.3474 -0.73077 -1.2185 11.114 Problem 14 The Extended Rosenbrock parabolic valley Function. N = 4 X: 0.567824 0.102738 0.947833 0.848477 H: 347.81 -227.13 0.0000 0.0000 -227.13 200.00 0.0000 0.0000 0.0000 0.0000 740.67 -379.13 0.0000 0.0000 -379.13 200.00 H_DIF: 347.81 -227.13 0.0000 0.0000 -227.13 200.00 0.0000 0.0000 0.0000 0.0000 740.67 -379.13 0.0000 0.0000 -379.13 200.00 Problem 15 The Extended Powell Singular Quartic Function. N = 4 X: 0.328596 0.172879 0.948276E-01 0.557783 H: 8.3032 20.000 0.0000 -6.3032 20.000 200.00 -0.67547E-02 0.0000 0.0000 -0.67547E-02 10.014 -10.000 -6.3032 0.0000 -10.000 16.303 H_DIF: 8.3032 20.000 0.0000 -6.3032 20.000 200.00 -0.67525E-02 0.0000 0.0000 -0.67525E-02 10.014 -10.000 -6.3032 0.0000 -10.000 16.303 Problem 16 The Beale Function. N = 2 X: 0.300207 0.175265 H: 5.2179 3.5528 3.5528 4.0252 H_DIF: 5.2179 3.5528 3.5528 4.0252 Problem 17 The Wood Function. N = 4 X: 0.471403 0.885328 0.236481 0.998544 H: -85.467 -188.56 0.0000 0.0000 -188.56 220.20 0.0000 19.800 0.0000 0.0000 -297.08 -85.133 0.0000 19.800 -85.133 200.20 H_DIF: -85.466 -188.56 0.0000 0.0000 -188.56 220.20 -0.15238E-03 19.800 0.0000 -0.15238E-03 -297.08 -85.133 0.0000 19.800 -85.133 200.20 Problem 18 The Chebyquad Function N = 4 X: 0.408735 0.906159 0.950977E-01 0.510559 H: 4.3060 -1.4169 -10.150 3.9024 -1.4169 40.740 -1.1755 -7.4285 -10.150 -1.1755 30.711 -6.2465 3.9024 -7.4285 -6.2465 2.0049 H_DIF: 4.3060 -1.4169 -10.150 3.9024 -1.4169 40.740 -1.1755 -7.4285 -10.150 -1.1755 30.711 -6.2465 3.9024 -7.4285 -6.2465 2.0049 Problem 19 The Leon cubic valley function N = 2 X: 0.392455 0.160077 H: -2.2202 -92.413 -92.413 200.00 H_DIF: -2.2202 -92.413 -92.413 200.00 Problem 20 The Gregory and Karney Tridiagonal Matrix Function N = 4 X: 0.912549 0.872163 0.441548 0.857848 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 0.47620E-05 -2.0000 4.0000 -2.0000 0.0000 0.0000 -2.0000 4.0000 -2.0000 0.47620E-05 0.0000 -2.0000 4.0000 Problem 21 The Hilbert Matrix Function F = x'Ax N = 4 X: 0.958711 0.436600 0.784054 0.669194 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 0.66663 0.50000 0.40000 0.66667 0.50000 0.39996 0.33333 0.50000 0.40000 0.33333 0.28568 Problem 22 The De Jong Function F1 N = 3 X: 0.938023 0.995888 0.214583E-01 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: 0.538975 0.359292 H: 206.88 -215.59 -215.59 200.00 H_DIF: 206.88 -215.59 -215.59 200.00 Problem 24 The De Jong Function F3, (discontinuous) N = 5 X: 0.644294 0.983290 0.590641 0.373144 0.452892 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: 0.643176 0.720778 0.209704E-01 0.847026E-01 0.673394 0.437258 0.290891E-01 0.146561 0.331728 0.829765 0.296951 0.147020 0.765309 0.637628 0.973636 0.770216 0.648346 0.568636 0.494483 0.469464 0.515306 0.919731 0.350376 0.878803 0.656489 0.911304 0.805108 0.314404 0.458628 0.769489 H: 4.9641 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 12.468 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 0.15831E-01 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.34438 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 27.208 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 13.766 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.71079E-01 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 2.0621 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 11.885 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 82.621 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 11.640 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 3.1125 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 91.369 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 68.304 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 170.63 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 113.90 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 85.752 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 69.843 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 55.749 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 52.895 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 66.916 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 223.32 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 33.883 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 222.42 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 129.29 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 259.11 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 210.02 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 33.214 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 73.198 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 213.16 H_DIF: 4.9641 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 -0.15238E-03 0.15238E-03 0.15238E-03 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 12.469 0.0000 0.0000 0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.0000 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.15238E-03 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-01 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.34378 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.0000 0.0000 27.207 0.15238E-03 0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 -0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 -0.15238E-03 0.0000 0.0000 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.0000 0.0000 0.15238E-03 13.766 0.15238E-03 0.0000 0.0000 0.15238E-03 0.0000 -0.15238E-03 -0.15238E-03 0.15238E-03 -0.15238E-03 0.0000 0.0000 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.15238E-03 0.70706E-01 -0.15238E-03 0.15238E-03 0.15238E-03 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 -0.15238E-03 0.0000 0.0000 -0.15238E-03 0.0000 -0.15238E-03 2.0621 0.0000 -0.15238E-03 0.0000 0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 -0.15238E-03 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.0000 11.884 0.0000 0.0000 0.0000 0.15238E-03 0.0000 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.15238E-03 0.15238E-03 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.15238E-03 0.15238E-03 0.15238E-03 -0.15238E-03 0.0000 82.621 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 -0.15238E-03 0.0000 0.0000 -0.15238E-03 0.0000 -0.15238E-03 0.0000 0.0000 -0.15238E-03 11.640 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 -0.15238E-03 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 0.0000 3.1123 0.0000 -0.15238E-03 0.15238E-03 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.0000 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.15238E-03 -0.15238E-03 -0.15238E-03 0.0000 91.369 -0.15238E-03 0.15238E-03 0.0000 0.0000 -0.15238E-03 -0.15238E-03 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.0000 0.0000 0.15238E-03 0.15238E-03 0.15238E-03 0.0000 0.0000 0.15238E-03 0.0000 -0.15238E-03 -0.15238E-03 68.303 -0.15238E-03 0.0000 0.0000 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.15238E-03 0.0000 0.0000 -0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.15238E-03 0.15238E-03 0.15238E-03 -0.15238E-03 170.63 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.0000 113.90 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 85.752 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 69.843 0.0000 0.0000 -0.15238E-03 -0.15238E-03 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.15238E-03 0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.15238E-03 -0.15238E-03 0.0000 0.0000 0.0000 55.749 0.0000 -0.15238E-03 0.0000 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 52.895 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 -0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 -0.15238E-03 0.0000 0.15238E-03 0.0000 -0.15238E-03 0.15238E-03 0.0000 0.0000 -0.15238E-03 -0.15238E-03 0.0000 66.916 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 0.0000 -0.15238E-03 0.0000 0.0000 0.0000 0.0000 -0.15238E-03 0.0000 0.0000 -0.15238E-03 223.32 0.15238E-03 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.15238E-03 0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 0.15238E-03 0.0000 -0.15238E-03 0.0000 0.15238E-03 -0.15238E-03 0.0000 0.0000 0.15238E-03 0.15238E-03 0.0000 0.0000 0.15238E-03 33.882 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 222.42 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 129.29 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 259.11 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 210.02 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 33.213 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 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-0.95241E+09 -0.24258E+11 0.79542E+10 -0.27259E+09 -0.29421E+10 0.77573E+10 -0.85522E+10 -0.30127E+09 0.30417E+10 -0.16212E+11 0.60432E+10 -0.45599E+10 0.22476E+11 -0.89420E+10 -0.10002E+11 0.86089E+09 -0.75134E+10 0.84962E+10 -0.57864E+10 -0.11591E+11 0.37931E+11 -0.42336E+10 0.11164E+11 0.97782E+10 0.58682E+09 0.12946E+10 0.67611E+10 0.26154E+11 -0.22548E+10 -0.11466E+11 0.85949E+10 -0.75861E+10 0.22833E+09 0.62117E+10 -0.65490E+10 0.29938E+10 0.17689E+11 -0.50826E+10 0.15924E+11 -0.49601E+10 0.12477E+11 -0.45188E+10 -0.12638E+11 -0.11417E+11 0.87899E+10 0.31652E+10 -0.82545E+10 0.13659E+11 -0.12993E+11 -0.20594E+10 -0.42336E+10 0.20566E+11 -0.60633E+09 0.14460E+11 0.68967E+10 -0.16673E+11 0.53256E+10 -0.74662E+10 0.14835E+11 0.85220E+10 0.86458E+09 -0.54040E+10 -0.65681E+10 0.86624E+10 -0.63592E+10 0.58752E+10 0.34795E+10 0.14342E+10 -0.48161E+10 -0.80432E+10 -0.16021E+11 -0.95977E+09 0.68885E+10 -0.42366E+10 -0.16468E+11 0.19537E+11 -0.64782E+10 -0.17962E+11 -0.14411E+11 0.22734E+10 0.11164E+11 -0.60633E+09 0.49830E+11 -0.17196E+11 -0.89790E+10 -0.55416E+10 0.44618E+10 0.38707E+10 -0.10812E+11 0.13903E+11 -0.32678E+10 -0.60409E+10 -0.11948E+11 0.44052E+10 -0.10509E+11 0.29825E+10 0.18291E+11 -0.20801E+11 -0.39847E+09 0.10233E+10 -0.12015E+11 0.21515E+10 -0.69542E+10 0.19169E+10 -0.17541E+11 -0.27267E+11 0.89494E+10 0.56301E+08 -0.10677E+11 0.14558E+11 0.97782E+10 0.14460E+11 -0.17196E+11 0.20827E+11 -0.21184E+11 -0.16354E+11 0.70935E+10 0.20224E+10 0.90146E+10 0.95368E+10 -0.66558E+10 0.39492E+10 -0.73812E+10 0.12431E+10 -0.45072E+10 0.21964E+10 0.29926E+10 -0.17930E+11 0.66522E+10 0.17244E+11 -0.19411E+11 -0.25542E+10 0.18400E+11 -0.97970E+10 -0.90160E+10 0.48070E+10 0.11432E+11 -0.56520E+10 -0.48796E+10 -0.91190E+10 0.58682E+09 0.68967E+10 -0.89790E+10 -0.21184E+11 -0.19842E+11 -0.32815E+10 0.77622E+10 0.19393E+10 0.66162E+10 0.15326E+11 -0.14982E+11 0.12699E+11 0.17313E+10 -0.11260E+11 -0.97418E+10 -0.59230E+10 -0.78844E+10 0.29668E+10 0.26626E+10 0.20509E+11 0.10849E+11 -0.20311E+11 0.11121E+11 0.22758E+11 0.12421E+10 0.15033E+11 -0.49436E+10 0.18276E+10 -0.18489E+10 -0.94685E+10 0.12946E+10 -0.16673E+11 -0.55416E+10 -0.16354E+11 -0.32815E+10 0.99318E+11 0.12376E+11 0.13918E+11 -0.14755E+11 -0.19991E+11 0.12326E+11 -0.62056E+10 0.35659E+10 -0.69623E+10 -0.14707E+10 -0.13365E+11 -0.20173E+10 0.10769E+11 -0.13980E+11 0.11407E+11 -0.61625E+10 -0.14733E+11 0.75871E+10 -0.41503E+10 0.68492E+10 -0.17105E+11 0.16175E+10 -0.21227E+11 -0.35626E+09 -0.19428E+11 0.67611E+10 0.53256E+10 0.44618E+10 0.70935E+10 0.77622E+10 0.12376E+11 0.60954E+11 0.16608E+11 0.24152E+10 -0.58543E+10 0.54258E+10 -0.13660E+11 -0.14150E+10 0.95974E+10 0.10022E+11 0.26951E+10 0.15313E+10 0.92527E+10 0.20974E+10 -0.95966E+09 0.13351E+10 -0.24065E+11 -0.10634E+11 -0.81269E+10 -0.57565E+10 0.80367E+10 -0.19849E+11 -0.34009E+10 -0.16780E+11 0.18883E+11 0.26154E+11 -0.74662E+10 0.38707E+10 0.20224E+10 0.19393E+10 0.13918E+11 0.16608E+11 -0.29070E+11 0.13250E+10 -0.12818E+11 -0.13355E+11 0.11204E+11 0.33078E+10 0.35122E+10 0.17653E+11 -0.57289E+10 -0.92852E+10 0.14906E+11 -0.12657E+11 0.24032E+11 -0.70033E+10 -0.24747E+11 0.80831E+10 0.67899E+09 0.61980E+10 0.49153E+10 0.17310E+11 0.11169E+11 0.14599E+11 0.14710E+11 -0.22548E+10 0.14835E+11 -0.10812E+11 0.90146E+10 0.66162E+10 -0.14755E+11 0.24152E+10 0.13250E+10 0.25849E+11 -0.79750E+10 0.20298E+11 -0.55049E+10 -0.87237E+09 -0.14751E+11 0.25266E+10 0.85385E+10 0.55080E+10 0.28758E+10 -0.24044E+11 0.11634E+11 0.11943E+11 0.20341E+11 0.40408E+10 0.40246E+11 0.50772E+10 -0.79129E+10 -0.61224E+10 0.23338E+11 0.44757E+10 -0.14663E+11 -0.11466E+11 0.85220E+10 0.13903E+11 0.95368E+10 0.15326E+11 -0.19991E+11 -0.58543E+10 -0.12818E+11 -0.79750E+10 0.17717E+11 -0.23150E+11 0.35962E+10 0.52945E+10 -0.10910E+10 -0.13706E+11 0.12422E+11 -0.35396E+09 0.69504E+10 0.70122E+10 0.27048E+10 -0.13572E+11 0.98096E+09 0.20676E+10 0.71029E+10 -0.14631E+11 0.10451E+11 -0.30066E+10 0.62102E+10 0.10809E+11 -0.95241E+09 0.85949E+10 0.86458E+09 -0.32678E+10 -0.66558E+10 -0.14982E+11 0.12326E+11 0.54258E+10 -0.13355E+11 0.20298E+11 -0.23150E+11 -0.43973E+11 -0.61005E+10 0.10372E+11 0.12008E+10 -0.70167E+08 -0.12767E+11 -0.11081E+11 -0.84325E+10 0.10437E+11 0.17041E+10 -0.21710E+10 0.74433E+10 -0.11828E+11 -0.85849E+10 0.40394E+10 0.29857E+10 0.10202E+11 -0.78271E+10 0.10751E+10 -0.24258E+11 -0.75861E+10 -0.54040E+10 -0.60409E+10 0.39492E+10 0.12699E+11 -0.62056E+10 -0.13660E+11 0.11204E+11 -0.55049E+10 0.35962E+10 -0.61005E+10 0.14733E+11 0.90644E+10 -0.12428E+10 0.15561E+10 -0.11231E+10 0.98881E+09 -0.41815E+10 0.29199E+10 0.17042E+11 -0.17124E+11 -0.85326E+10 -0.10141E+11 0.83862E+10 0.21817E+10 0.90505E+10 -0.80430E+10 0.52381E+10 0.97133E+09 0.79542E+10 0.22833E+09 -0.65681E+10 -0.11948E+11 -0.73812E+10 0.17313E+10 0.35659E+10 -0.14150E+10 0.33078E+10 -0.87237E+09 0.52945E+10 0.10372E+11 0.90644E+10 0.12184E+11 -0.55747E+10 -0.83813E+10 0.24269E+10 0.16091E+11 0.34418E+10 0.26433E+09 0.50587E+10 0.47675E+10 -0.39368E+10 0.25923E+09 0.12216E+10 0.13221E+11 -0.46280E+10 -0.62763E+10 -0.31947E+10 -0.10371E+11 -0.27259E+09 0.62117E+10 0.86624E+10 0.44052E+10 0.12431E+10 -0.11260E+11 -0.69623E+10 0.95974E+10 0.35122E+10 -0.14751E+11 -0.10910E+10 0.12008E+10 -0.12428E+10 -0.55747E+10 -0.20134E+11 Problem 26 The De Jong Function F5 N = 2 X: 0.521607 0.479166 H: 0.0000 0.0000 0.0000 0.0000 H_DIF: 0.65106E-07 -0.23252E-08 -0.23252E-08 0.46504E-07 Problem 27 The Schaffer Function F6 N = 2 X: 0.215666E-01 0.339480 H: 1.8492 -0.18739E-01 -0.18739E-01 1.5554 H_DIF: 1.8492 -0.18738E-01 -0.18738E-01 1.5554 Problem 28 The Schaffer Function F7 N = 2 X: 0.591291 0.298463 H: -144.15 -66.410 -66.410 -46.108 H_DIF: -144.15 -66.410 -66.410 -46.108 Problem 29 The Goldstein Price Polynomial N = 2 X: 0.982509 0.262936 H: -3969.0 4687.5 4687.5 -8580.2 H_DIF: -3969.0 4687.5 4687.5 -8580.2 Problem 30 The Branin RCOS Function N = 2 X: 0.459318 0.831618 H: -1.9611 2.9458 2.9458 2.0000 H_DIF: -1.9610 2.9458 2.9458 1.9999 Problem 31 The Shekel SQRN5 Function N = 4 X: 0.245972 0.552439 0.547869 0.766935 H: -1.1315 -1.4606 -1.4754 -0.76112 -1.4606 0.46077 -0.87620 -0.45240 -1.4754 -0.87620 0.44333 -0.45677 -0.76112 -0.45240 -0.45677 1.0922 H_DIF: -1.1315 -1.4606 -1.4754 -0.76112 -1.4606 0.46077 -0.87620 -0.45240 -1.4754 -0.87620 0.44333 -0.45677 -0.76112 -0.45240 -0.45677 1.0922 Problem 32 The Shekel SQRN7 Function N = 4 X: 0.314888 0.241584E-01 0.503123 0.414705 H: 0.61665E-01 -0.49668 -0.25319 -0.29815 -0.49668 -0.29636 -0.36028 -0.42448 -0.25319 -0.36028 0.22699 -0.21636 -0.29815 -0.42448 -0.21636 0.15574 H_DIF: 0.61670E-01 -0.49668 -0.25319 -0.29815 -0.49668 -0.29635 -0.36028 -0.42448 -0.25319 -0.36028 0.22699 -0.21636 -0.29815 -0.42448 -0.21636 0.15574 Problem 33 The Shekel SQRN10 Function N = 4 X: 0.941060 0.384026 0.533986 0.638433 H: 2.2736 -0.36313 -0.27592 -0.21363 -0.36313 -1.4558 -2.8503 -2.2121 -0.27592 -2.8503 0.15381 -1.6737 -0.21363 -2.2121 -1.6737 1.0126 H_DIF: 2.2736 -0.36312 -0.27593 -0.21363 -0.36312 -1.4558 -2.8503 -2.2121 -0.27593 -2.8503 0.15381 -1.6737 -0.21363 -2.2121 -1.6737 1.0126 Problem 34 The Six-Hump Camel-Back Polynomial N = 2 X: 0.885464E-02 0.131807E-01 H: 7.9980 1.0000 1.0000 -7.9917 H_DIF: 7.9980 1.0000 1.0000 -7.9917 Problem 35 The Shubert Function N = 2 X: 0.547115 0.398404 H: -67.422 261.68 261.68 -96.910 H_DIF: 1148.4 0.0000 0.0000 0.0000 Problem 36 The Stuckman Function N = 2 X: 0.485955 0.240409 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: 0.736373 0.223256 H: -0.50736E-05 -0.97300E-05 -0.97300E-05 -0.12625E-04 H_DIF: -0.50736E-05 -0.97300E-05 -0.97300E-05 -0.12625E-04 Problem 38 The Bohachevsky Function #1 N = 2 X: 0.537958 0.412463 H: 11.331 0.0000 0.0000 32.651 H_DIF: 11.331 -0.11905E-05 -0.11905E-05 32.651 Problem 39 The Bohachevsky Function #2 N = 2 X: 0.834304 0.188264 H: 2.1740 -24.881 -24.881 4.3093 H_DIF: 2.1740 -24.881 -24.881 4.3093 Problem 40 The Bohachevsky Function #3 N = 2 X: 0.907469 0.163049 H: -15.141 0.0000 0.0000 76.660 H_DIF: -15.141 0.0000 0.0000 76.660 Problem 41 The Colville Polynomial N = 4 X: 0.693390 0.110159 0.980924E-01 0.507467 H: 534.88 -277.36 0.0000 0.0000 -277.36 220.20 0.0000 19.800 0.0000 0.0000 -170.30 -35.313 0.0000 19.800 -35.313 200.20 H_DIF: 534.88 -277.36 0.0000 0.0000 -277.36 220.20 -0.38096E-04 19.800 0.0000 -0.38096E-04 -170.30 -35.313 0.0000 19.800 -35.313 200.20 Problem 42 The Powell 3D Function N = 3 X: 0.520924 0.183402 0.465442 H: 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 H_DIF: 0.95247 -0.95246 0.0000 -0.95246 1.0239 -1.5285 0.0000 -1.5285 0.11095E-01 Problem 43 The Himmelblau function. N = 2 X: 0.878771 0.520728 H: -30.650 5.5980 5.5980 -19.231 H_DIF: -30.650 5.5980 5.5980 -19.230 TEST05 For each problem, take a few steps of the gradient method. Problem 1 The Fletcher-Powell helical valley 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 0.976562 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 Gradient: 69.5224 16.2716 51.4309 Reject step, F = 786927. Reject step, F = 51728.5 Reject step, F = 4309.24 Reject step, F = 462.293 Reject step, F = 17.1918 New X: 0.184758 1.11155 2.33225 New F: 7.93816 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 Gradient: -0.328135 0.656123E-01 0.173077 -0.453360E-01 -0.328135 0.173077 Reject step, F = 1.53964 Reject step, F = 0.370824 New X: 1.25849 1.97322 1.12758 0.764887 1.25849 1.12758 New F: 0.319634 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 Gradient: -0.228516E-02 0.242618E-03 0.191641E-19 Reject step, F = 0.140097E-04 New X: 0.399216 1.00006 -0.244316E-19 New F: 0.241929E-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 Reject step, F = 0.238458E+10 Reject step, F = 0.149003E+09 Reject step, F = 0.930788E+07 Reject step, F = 580596. Reject step, F = 36002.1 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 Gradient: 0.138530E-01 -0.126663E-01 0.777902 Reject step, F = 1.30055 New X: 9.83945 10.2363 -0.603731E-01 New F: 0.142322E-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 New X: 1.16577 1.33154 1.49731 1.66309 New F: 637.237 Gradient: 502.264 1004.53 1506.79 2009.06 Reject step, F = 0.514803E+17 Reject step, F = 0.200299E+15 Reject step, F = 0.770082E+12 Reject step, F = 0.282108E+10 Reject step, F = 0.843446E+07 Reject step, F = 9103.96 New X: 1.04315 1.08630 1.12945 1.17259 New F: 4.53910 Gradient: 11.3511 22.7023 34.0534 45.4045 Reject step, F = 0.132443E+11 Reject step, F = 0.494138E+08 Reject step, F = 160058. Reject step, F = 279.576 New X: 0.998808 0.997616 0.996424 0.995232 New F: 0.132305E-02 Gradient: -0.740872E-01 -0.148174 -0.222262 -0.296349 Reject step, F = 27.8125 Reject step, F = 0.352356 Reject step, F = 0.111085E-01 New X: 0.999966 0.999931 0.999897 0.999862 New F: 0.110002E-05 Gradient: -0.213231E-02 -0.426462E-02 -0.639693E-02 -0.852924E-02 Reject step, F = 0.410887E-02 Reject step, F = 0.231329E-03 Reject step, F = 0.909244E-05 New X: 0.999999 0.999998 0.999997 0.999996 New F: 0.107410E-08 Gradient: -0.666303E-04 -0.133261E-03 -0.199891E-03 -0.266521E-03 Reject step, F = 0.399673E-05 Reject step, F = 0.225829E-06 Reject step, F = 0.887808E-08 New X: 1.00000 1.00000 1.00000 1.00000 New F: 0.104892E-11 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 Gradient: -5.05855 -2.60542 2.87363 3.97019 Reject step, F = 24113.5 Reject step, F = 322.438 Reject step, F = 11.0138 New X: -0.204678E-01 0.689614 0.334082 0.259983 New F: 0.929845 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 Gradient: 0.275472E-02 0.552911E-02 0.830351E-02 0.110779E-01 Reject step, F = 0.833280E-04 New X: 0.919618E-01 0.183908 0.275853 0.367799 New F: 0.374695E-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 New X: -0.392844 -0.102258 0.176122 0.374040 New F: 0.373790 Gradient: -0.246757 0.183302 -0.210476 -0.223498 New X: -0.146087 -0.285560 0.386597 0.597538 New F: 0.119984 Gradient: -0.659372 0.480895E-01 -0.434070E-01 -0.335451E-01 Reject step, F = 1.43422 New X: 0.187556E-01 -0.297582 0.397449 0.605924 New F: 0.353450E-01 Gradient: -0.377449 0.178018 -0.158511 -0.120827 Reject step, F = 2.14928 Reject step, F = 0.432750E-01 New X: 0.423462E-01 -0.308708 0.407356 0.613476 New F: 0.248667E-01 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 Reject step, F = 0.372531E+28 Reject step, F = 0.232832E+27 Reject step, F = 0.145520E+26 Reject step, F = 0.909499E+24 Reject step, F = 0.568435E+23 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 Reject step, F = 0.835789E+14 Reject step, F = 0.302247E+12 Reject step, F = 0.954527E+09 New X: 20.6157 -1.78746 -4.02886 -0.338530 New F: 0.491737E+07 Gradient: -293695. -0.165867E+07 -95418.9 -7529.35 Reject step, F = 0.108203E+29 Reject step, F = 0.422653E+26 Reject step, F = 0.165076E+24 Reject step, F = 0.644475E+21 Reject step, F = 0.251197E+19 Reject step, F = 0.972693E+16 Reject step, F = 0.367019E+14 Reject step, F = 0.125615E+12 Reject step, F = 0.341767E+09 New X: 21.7360 4.53987 -3.66486 -0.309808 New F: 0.404182E+07 Gradient: 674033. 967437. -124509. -82779.0 Reject step, F = 0.222762E+28 Reject step, F = 0.870146E+25 Reject step, F = 0.339870E+23 Reject step, F = 0.132714E+21 Reject step, F = 0.517670E+18 Reject step, F = 0.201072E+16 Reject step, F = 0.768716E+13 Reject step, F = 0.280743E+11 Reject step, F = 0.109106E+09 New X: 19.1648 0.849394 -3.18990 0.596930E-02 New F: 0.227616E+07 Gradient: 18039.6 -529844. -63915.1 -19658.5 Reject step, F = 0.876649E+26 Reject step, F = 0.342417E+24 Reject step, F = 0.133720E+22 Reject step, F = 0.521770E+19 Reject step, F = 0.202925E+17 Reject step, F = 0.779118E+14 Reject step, F = 0.285365E+12 Reject step, F = 0.946212E+09 Reject step, F = 0.814277E+07 New X: 19.0960 2.87059 -2.94608 0.809604E-01 New F: 0.188221E+07 Gradient: 249094. 129545. -62993.7 -33036.0 Reject step, F = 0.228110E+25 Reject step, F = 0.891019E+22 Reject step, F = 0.347999E+20 Reject step, F = 0.135852E+18 Reject step, F = 0.529433E+15 Reject step, F = 0.205418E+13 Reject step, F = 0.813424E+10 Reject step, F = 0.521604E+08 Reject step, F = 0.253313E+07 New X: 18.1458 2.37641 -2.70578 0.206983 New F: 0.168070E+07 Gradient: 136078. -122353. -50721.6 -21533.9 Reject step, F = 0.568780E+23 Reject step, F = 0.222089E+21 Reject step, F = 0.866122E+18 Reject step, F = 0.336138E+16 Reject step, F = 0.127991E+14 Reject step, F = 0.454822E+11 Reject step, F = 0.143925E+09 Reject step, F = 0.233671E+07 New X: 16.0694 4.24337 -1.93183 0.535564 New F: 0.133995E+07 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 New X: 39.9999 20.0015 1.22674 New F: 1.12811 Gradient: -0.186204E-01 -0.278491 -0.459298 Reject step, F = 13.6911 Reject step, F = 2.17781 Reject step, F = 1.18207 New X: 40.0002 20.0059 1.23392 New F: 1.12811 Gradient: -0.298089E-01 -0.314759 0.819901 Reject step, F = 25.1808 Reject step, F = 4.52635 Reject step, F = 1.32219 Reject step, F = 1.13126 New X: 40.0004 20.0071 1.23072 New F: 1.12604 Gradient: -0.246605E-01 -0.298012 0.232441 Reject step, F = 5.63291 Reject step, F = 1.41584 Reject step, F = 1.13764 New X: 40.0007 20.0118 1.22709 New F: 1.12509 Gradient: -0.186741E-01 -0.278717 -0.450688 Reject step, F = 13.3328 Reject step, F = 2.13418 Reject step, F = 1.17675 New X: 40.0010 20.0161 1.23413 New F: 1.12503 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 Gradient: 0.904122E-02 0.748972E-02 -0.431949E-01 -0.269053E-01 New X: 0.155852 0.194029 0.393537 0.308552 New F: 0.171390E-02 Problem 14 The Extended Rosenbrock parabolic valley 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 New X: -1.02798 1.05682 -1.02798 1.05682 New F: 8.22540 Gradient: -4.02544 0.148428E-01 -4.02544 0.148428E-01 Reject step, F = 12625.6 Reject step, F = 223.696 Reject step, F = 47.3725 Reject step, F = 10.8581 Reject step, F = 8.30439 New X: -1.02405 1.05680 -1.02405 1.05680 New F: 8.20675 Gradient: -0.719352 1.62529 -0.719352 1.62529 Reject step, F = 90.8748 New X: -0.844210 0.650479 -0.844210 0.650479 New F: 7.57628 Gradient: -24.6962 -12.4423 -24.6962 -12.4423 Reject step, F = 0.617897E+08 Reject step, F = 121525. Reject step, F = 176.561 Reject step, F = 84.8534 Reject step, F = 10.0273 New X: -0.820093 0.662630 -0.820093 0.662630 New F: 6.64516 Problem 15 The Extended Powell Singular Quartic 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 Gradient: 1.04634 -8.97225 3.68264 8.99864 Reject step, F = 107112. Reject step, F = 837.629 Reject step, F = 36.3537 New X: 1.82727 -0.542111E-01 0.446764 1.38828 New F: 7.26207 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 Gradient: 0.258869 -2.05655 Reject step, F = 697.168 Reject step, F = 2.86664 New X: 2.34279 0.302666 New F: 0.153246 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. New X: -0.683594E-01 -0.492188 -0.361328 -0.541016 New F: 160.276 Gradient: -15.7227 -160.026 -90.0797 -181.557 Reject step, F = 0.557390E+10 Reject step, F = 0.180437E+08 Reject step, F = 36760.6 Reject step, F = 574.433 New X: -0.694239E-02 0.132916 -0.945431E-02 0.168192 New F: 35.2040 Gradient: -1.64492 -7.41142 -1.44676 -3.71238 Reject step, F = 3549.91 Reject step, F = 429.717 Reject step, F = 60.1360 Reject step, F = 35.9620 New X: -0.516930E-03 0.161866 -0.380289E-02 0.182693 New F: 35.0370 Gradient: -1.96756 -0.739726 -1.75751 -0.222468 Reject step, F = 1528.81 New X: 0.491374 0.346798 0.435575 0.238310 New F: 21.9199 Gradient: -21.7237 -7.20623 -8.74729 -19.5743 Reject step, F = 0.239967E+08 Reject step, F = 108987. Reject step, F = 711.137 New X: 0.830806 0.459395 0.572251 0.544158 New F: 19.6960 Gradient: 76.3762 -66.1147 -45.4952 19.0916 Reject step, F = 0.359405E+10 Reject step, F = 0.119657E+08 Reject step, F = 25720.1 Reject step, F = 364.536 Reject step, F = 26.5171 New X: 0.756220 0.523961 0.616680 0.525514 New F: 11.3689 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 New X: 0.804590E-01 0.446484 0.553516 0.919541 New F: 0.377030E-01 Gradient: -1.19362 0.293541 -0.293541 1.19362 Reject step, F = 186.057 Reject step, F = 0.660999 New X: 0.155061 0.428138 0.571862 0.844939 New F: 0.290687E-01 Gradient: 0.462989 0.714622E-01 -0.714622E-01 -0.462989 Reject step, F = 313.519 Reject step, F = 0.230039 New X: 0.126124 0.423671 0.576329 0.873876 New F: 0.720245E-02 Gradient: 0.266631 0.272363E-01 -0.272363E-01 -0.266631 Reject step, F = 27.1462 Reject step, F = 0.887793E-01 New X: 0.109459 0.421969 0.578031 0.890541 New F: 0.144219E-02 Gradient: 0.453800E-01 0.678505E-01 -0.678505E-01 -0.453800E-01 Reject step, F = 0.325501E-01 New X: 0.981143E-01 0.405007 0.594993 0.901886 New F: 0.403844E-03 Problem 19 The Leon cubic valley 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 New X: -1.04536 -1.03555 New F: 5.32434 Gradient: -74.1228 21.3620 Reject step, F = 0.152317E+14 Reject step, F = 0.286470E+10 Reject step, F = 235572. Reject step, F = 188.686 Reject step, F = 50.3097 Reject step, F = 5.72336 New X: -1.02727 -1.04076 New F: 4.29721 Gradient: -31.4638 8.65785 Reject step, F = 0.795557E+11 Reject step, F = 0.104352E+08 Reject step, F = 581.007 Reject step, F = 106.879 Reject step, F = 14.8446 Reject step, F = 4.34091 New X: -1.01959 -1.04288 New F: 4.10775 Gradient: -14.6665 3.40765 Reject step, F = 0.648221E+09 Reject step, F = 41790.3 Reject step, F = 158.660 Reject step, F = 39.4811 Reject step, F = 6.57615 Reject step, F = 4.11309 New X: -1.01600 -1.04371 New F: 4.06685 Gradient: -7.17744 1.01571 Reject step, F = 0.556813E+07 Reject step, F = 313.053 Reject step, F = 87.9278 Reject step, F = 13.9394 Reject step, F = 4.64657 New X: -1.00900 -1.04470 New F: 4.06658 Gradient: 6.65350 -3.49402 Reject step, F = 0.204616E+08 Reject step, F = 35786.3 Reject step, F = 432.855 Reject step, F = 19.5564 Reject step, F = 4.74366 New X: -1.01549 -1.04129 New F: 4.06571 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 Reject step, F = 0.00000 New X: 0.500000 0.00000 0.00000 0.00000 New F: -0.750000 Gradient: -1.50000 -0.500000 0.00000 0.00000 New X: 2.00000 0.500000 0.00000 0.00000 New F: -1.50000 Gradient: -0.500000 -1.00000 -0.500000 0.00000 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 Gradient: -0.375000 -0.750000 -0.375000 0.00000 New X: 3.87500 2.62500 1.37500 0.500000 New F: -3.60938 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 New X: -0.390538E-01 0.342017E-01 0.174675 0.288611 New F: 0.321376E-01 Gradient: 0.216850 0.186529 0.157139 0.134839 Reject step, F = 0.831685E-01 New X: -0.932663E-01 -0.124306E-01 0.135391 0.254901 New F: 0.119474E-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 Gradient: -0.320000 0.00000 0.320000 Reject step, F = 0.512000E-01 New X: -0.800000E-01 0.00000 0.800000E-01 New F: 0.128000E-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 New X: -1.61725 2.15280 New F: 28.2592 Gradient: -304.556 -92.5401 Reject step, F = 0.840467E+12 Reject step, F = 0.305609E+10 Reject step, F = 0.872827E+07 Reject step, F = 3935.69 Reject step, F = 545.608 Reject step, F = 30.5029 New X: -1.54290 2.17539 New F: 10.6744 Gradient: -131.688 -41.0274 Reject step, F = 0.285424E+11 Reject step, F = 0.945206E+08 Reject step, F = 159906. Reject step, F = 651.253 Reject step, F = 167.408 New X: -1.41430 2.21546 New F: 10.4611 Gradient: 116.930 43.0455 Reject step, F = 0.197293E+11 Reject step, F = 0.898271E+08 Reject step, F = 586163. Reject step, F = 8052.04 Reject step, F = 219.516 New X: -1.52848 2.17342 New F: 9.04499 Gradient: -104.618 -32.5684 Reject step, F = 0.112204E+11 Reject step, F = 0.355366E+08 Reject step, F = 43665.2 Reject step, F = 714.240 Reject step, F = 114.040 New X: -1.42632 2.20523 New F: 8.80574 Gradient: 92.6176 34.1685 Reject step, F = 0.787876E+10 Reject step, F = 0.372777E+08 Reject step, F = 270316. Reject step, F = 4351.86 Reject step, F = 134.464 New X: -1.51677 2.17186 New F: 7.99094 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 Gradient: 0.238920 0.448646E-04 -0.151370E-01 -0.805059E-02 -0.292859E-02 -0.426135E-02 -0.961558E-02 -0.690348E-02 -0.109851E-04 0.113307E-01 0.645537E-01 0.674709E-01 0.869314E-02 -0.133967E-02 -0.342337E-02 0.355072E-02 0.241517E-03 -0.304986E-01 -0.438107E-01 0.552823E-03 -0.987992E-03 0.528010 0.567087E-01 0.958516 -0.528862E-05 0.152313E-02 0.215645E-02 0.358413E-01 0.156753E-01 -0.401006E-08 Reject step, F = 7.63946 New X: 0.331169 0.177554E-01 -0.104265 -0.775244E-01 -0.519758E-01 -0.551401E-01 -0.676242E-01 -0.582495E-01 -0.672961E-02 0.628421E-01 0.974906E-01 0.951513E-01 0.529148E-01 -0.284791E-01 -0.376418E-01 0.372522E-01 0.151970E-01 -0.674769E-01 -0.722727E-01 0.189090E-01 -0.224948E-01 0.497107E-01 0.709276E-01 -0.242966E-01 -0.375227E-02 0.240855E-01 0.265902E-01 0.594395E-01 0.473972E-01 -0.322098E-03 New F: 0.173064E-01 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 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 New X: -5.62995 11.2599 New F: 0.127823 Gradient: -0.222734E-01 0.445467E-01 New X: -5.60767 11.2153 New F: 0.127191 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 New X: -5.18441 10.3688 New F: 3.41683 Gradient: 0.188495 -0.376990 Reject step, F = 4.33873 Reject step, F = 3.44689 New X: -5.19619 10.3924 New F: 3.41038 Gradient: 0.303394E-01 -0.606787E-01 Reject step, F = 3.43666 Reject step, F = 3.41117 New X: -5.19809 10.3962 New F: 3.41022 Gradient: 0.484147E-02 -0.968294E-02 Reject step, F = 3.41089 Reject step, F = 3.41024 New X: -5.19839 10.3968 New F: 3.41021 Gradient: 0.772342E-03 -0.154468E-02 Reject step, F = 3.41023 Reject step, F = 3.41021 New X: -5.19844 10.3969 New F: 3.41021 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 Reject step, F = 0.228075E+08 New X: -0.346647 -0.748689 New F: 41.6044 Gradient: -269.647 -169.418 Reject step, F = 0.312732E+18 Reject step, F = 0.458379E+13 Reject step, F = 0.185426E+08 Reject step, F = 36687.5 Reject step, F = 900.343 Reject step, F = 130.982 New X: -0.280815 -0.707327 New F: 30.9791 Gradient: -4.30478 71.6000 Reject step, F = 0.508252E+18 Reject step, F = 0.102173E+14 Reject step, F = 0.360690E+09 Reject step, F = 25046.6 Reject step, F = 40.4138 New X: -0.276611 -0.777249 New F: 29.8398 Gradient: -154.174 -41.7800 Reject step, F = 0.145056E+20 Reject step, F = 0.203762E+15 Reject step, F = 0.204574E+10 Reject step, F = 5854.86 Reject step, F = 125.824 Reject step, F = 37.5073 New X: -0.238971 -0.767049 New F: 26.0483 Gradient: -53.7763 52.3354 Reject step, F = 0.425665E+12 Reject step, F = 0.276141E+09 Reject step, F = 307965. Reject step, F = 1074.52 New X: -0.289072E-01 -0.971484 New F: 3.68226 Gradient: -18.3524 27.2694 Reject step, F = 0.224244E+14 Reject step, F = 0.133758E+10 Reject step, F = 285918. Reject step, F = 410.337 Reject step, F = 7.69598 New X: -0.109849E-01 -0.998114 New F: 3.03613 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 Gradient: -2.34863 1.44592 Reject step, F = 71.0145 Reject step, F = 4.10458 New X: 15.9872 13.8365 New F: 0.838737 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 Gradient: -0.499473E-01 -0.287806E-01 0.188078E-01 0.227857E-01 New X: 1.27531 3.16126 4.89472 5.87582 New F: -0.188939 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 Gradient: -0.612888E-01 -0.379527E-01 0.256911E-01 0.283322E-01 New X: 1.33201 3.21095 4.85771 5.84939 New F: -0.248893 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 Gradient: -0.776915E-01 -0.377235E-01 0.225270E-01 0.385250E-01 New X: 1.41799 3.20688 4.87856 5.79638 New F: -0.317896 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 Reject step, F = -0.205113 New X: -1.70263 0.798510 New F: -0.215386 Gradient: 0.209708E-01 0.556046E-01 Reject step, F = -0.180614 Reject step, F = -0.213783 New X: -1.70394 0.795035 New F: -0.215450 Gradient: -0.748474E-02 -0.238051E-01 Reject step, F = -0.208864 Reject step, F = -0.215163 New X: -1.70348 0.796523 New F: -0.215461 Problem 35 The Shubert Function N = 2 Starting X: 0.500000 1.00000 Starting F: 3.03030 Gradient: 39.5725 33.6750 Reject step, F = 154.692 Reject step, F = 8.35154 Reject step, F = 36.4464 Reject step, F = 60.5938 Reject step, F = 14.7156 Reject step, F = 6.44828 Reject step, F = 3.80994 Reject step, F = 3.21907 Reject step, F = 3.07709 Reject step, F = 3.04197 Reject step, F = 3.03322 Repeated step reductions do not help. Problem abandoned. Problem 36 The Stuckman Function N = 2 Starting X: 0.500000 1.00000 Starting F: 8.00000 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 Gradient: -0.213456E-04 -0.122825E-04 New X: 0.500128 1.00007 New F: -0.450720E-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 Gradient: 0.961463E-01 0.231046E-10 Reject step, F = 0.116201 Reject step, F = 0.610776E-02 New X: -0.265249E-02 -0.110004E-11 New F: 0.100774E-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 New X: 0.153253E-01 0.470759 New F: 0.466404 Gradient: 0.410451 0.542814 Reject step, F = 0.621175 Reject step, F = 0.630336 Reject step, F = 0.472402 New X: 0.891197E-02 0.462277 New F: 0.461501 Gradient: 0.228874 0.134268 Reject step, F = 0.483146 Reject step, F = 0.501557 New X: -0.539265E-02 0.453885 New F: 0.461355 Gradient: -0.130975 -0.246199 Reject step, F = 1.38772 Reject step, F = 0.547447 Reject step, F = 0.462626 New X: -0.334616E-02 0.457732 New F: 0.460510 Gradient: -0.835624E-01 -0.776868E-01 Reject step, F = 0.682776 Reject step, F = 0.471863 Reject step, F = 0.460568 New X: -0.204049E-02 0.458946 New F: 0.460361 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 New X: -0.424866E-02 -0.692014E-11 New F: 1.00026 Gradient: -0.121685 0.106510E-08 Reject step, F = 1.17954 Reject step, F = 1.00977 New X: 0.335665E-02 -0.734891E-10 New F: 1.00016 Gradient: 0.961463E-01 0.113110E-07 Reject step, F = 1.11620 Reject step, F = 1.00611 New X: -0.265249E-02 -0.780425E-09 New F: 1.00010 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 Gradient: -3.25898 -9.87652 -16.1046 2.68668 Reject step, F = 0.700395E+07 Reject step, F = 39798.6 Reject step, F = 421.620 Reject step, F = 10.1437 New X: 1.04011 1.10216 0.586877 0.344378 New F: 3.33423 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 Gradient: -0.462983 0.529093 0.251737E-01 Reject step, F = 2.11281 New X: 0.472665 0.489844 1.62748 New F: 1.05060 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 Gradient: -0.199233E-02 0.807385E-02 Reject step, F = 0.265481E-02 Reject step, F = 0.153675E-03 Reject step, F = 0.678013E-05 New X: -2.80512 3.13129 New F: 0.257914E-07 TEST_OPT_TEST Normal end of execution. 17 September 2021 11:54:17.722 PM