07-Jan-2022 22:45:40 local_min_rc_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test local_min_rc() g_01(x) = ( x - 2 ) * ( x - 2 ) + 1 Step X F(X) 0 0.0000000000000000e+00 5.0000000000000000e+00 0 3.1415926535897931e+00 2.3032337867301855e+00 1 1.1999816148643265e+00 1.6400294165550906e+00 2 1.9416110387254664e+00 1.0034092707987190e+00 3 2.3999632297286531e+00 1.1599705851349753e+00 4 2.0000000000000000e+00 1.0000000000000000e+00 5 2.0000000298023224e+00 1.0000000000000009e+00 6 1.9999999701976776e+00 1.0000000000000009e+00 7 1.9999999701976776e+00 1.0000000000000009e+00 g_02(x) = x * x + exp ( - x ) Step X F(X) 0 0.0000000000000000e+00 1.0000000000000000e+00 0 1.0000000000000000e+00 1.3678794411714423e+00 1 3.8196601125010510e-01 8.2841628450359894e-01 2 6.1803398874989479e-01 9.2096909397414972e-01 3 2.3606797749978969e-01 8.4545507844277124e-01 4 3.5284968114951043e-01 8.2718570939867075e-01 5 3.5189171661040736e-01 8.2718405987403232e-01 6 3.5173204181824946e-01 8.2718402613129161e-01 7 3.5173370369581974e-01 8.2718402612752440e-01 8 3.5173371126154779e-01 8.2718402612752429e-01 9 3.5173371650278862e-01 8.2718402612752440e-01 10 3.5173371650278862e-01 8.2718402612752440e-01 g_03(x) = x^4 + 2x^2 + x + 3 Step X F(X) 0 -2.0000000000000000e+00 2.5000000000000000e+01 0 2.0000000000000000e+00 2.9000000000000000e+01 1 -4.7213595499957961e-01 3.0233786852494204e+00 2 4.7213595499957917e-01 3.9676505952485779e+00 3 -1.0557280900008412e+00 5.4156435160895509e+00 4 -1.4981389398891265e-01 2.8955782539160992e+00 5 -2.2268178171603575e-01 2.8789514581149742e+00 6 -2.3180724138501921e-01 2.8785493598638356e+00 7 -2.3705610192634397e-01 2.8784930339438439e+00 8 -2.3674552450274428e-01 2.8784927902458479e+00 9 -2.3673257047327609e-01 2.8784927898739858e+00 10 -2.3673290466844016e-01 2.8784927898737260e+00 11 -2.3673290114084491e-01 2.8784927898737260e+00 12 -2.3673289761324973e-01 2.8784927898737260e+00 13 -2.3673277265689888e-01 2.8784927898737664e+00 14 -2.3673284988417082e-01 2.8784927898737331e+00 15 -2.3673287938236384e-01 2.8784927898737274e+00 16 -2.3673289064967096e-01 2.8784927898737265e+00 17 -2.3673289064967096e-01 2.8784927898737265e+00 g_04(x) = exp ( x ) + 1 / ( 100 x ) Step X F(X) 0 1.0000000000000000e-04 1.0100010000500016e+02 0 1.0000000000000000e+00 2.7282818284590453e+00 1 3.8202781464898006e-01 1.4914289445643993e+00 2 6.1807218535101982e-01 1.8715271651909913e+00 3 2.3614437070203967e-01 1.3087040978426485e+00 4 1.4598344394694041e-01 1.2256779481342144e+00 5 9.0260926755099280e-02 1.2052497308359791e+00 6 6.9876089320806620e-02 1.2154857644926214e+00 7 1.0206373278725260e-01 1.2054320465850306e+00 8 9.5682026821930818e-02 1.2049219440137300e+00 9 9.5513043328965458e-02 1.2049209148472022e+00 10 9.5357230061606221e-02 1.2049205744553304e+00 11 9.5344301333980211e-02 1.2049205725338459e+00 12 9.5344606870298165e-02 1.2049205725326411e+00 13 9.5344617235426574e-02 1.2049205725326397e+00 14 9.5344618656172164e-02 1.2049205725326397e+00 15 9.5344620076917769e-02 1.2049205725326400e+00 16 9.5344620076917769e-02 1.2049205725326400e+00 g_05(x) = exp ( x ) - 2x + 1/(100x) - 1/(1000000x^2) Step X F(X) 0 2.0000000000000001e-04 2.5999800020001334e+01 0 2.0000000000000000e+00 3.3940558489306505e+00 1 7.6405562929796011e-01 6.3194096598803329e-01 2 1.2361443707020396e+00 9.7811582677204612e-01 3 4.7228874140407934e-01 6.8025188205591303e-01 4 6.8852744660756782e-01 6.2824858787213489e-01 5 7.0164600779463115e-01 6.2802824384538702e-01 6 7.0306627913679964e-01 6.2802574053725335e-01 7 7.0320840670692497e-01 6.2802572060607587e-01 8 7.0320487024672163e-01 6.2802572059286421e-01 9 7.0320484034719222e-01 6.2802572059286299e-01 10 7.0320482986862343e-01 6.2802572059286299e-01 11 7.0320481939005486e-01 6.2802572059286366e-01 12 7.0320481939005486e-01 6.2802572059286366e-01 g_06(x) = - x * sin ( 10 pi x ) - 1 Step X F(X) 0 1.8000000000000000e+00 -9.9999999999999600e-01 0 1.8999999999999999e+00 -1.0000000000000111e+00 1 1.8381966011250106e+00 -2.7132588335917793e+00 2 1.8618033988749896e+00 -2.7352611345171618e+00 3 1.8763932022500212e+00 -2.2674853963381896e+00 4 1.8505395014762616e+00 -2.8502737088135595e+00 5 1.8505162089360063e+00 -2.8502728741704617e+00 6 1.8505475913237814e+00 -2.8502737667537623e+00 7 1.8505474661032337e+00 -2.8502737667680984e+00 8 1.8505474385279275e+00 -2.8502737667674056e+00 9 1.8505474936785400e+00 -2.8502737667674012e+00 10 1.8505474936785400e+00 -2.8502737667674012e+00 g_07(x) = 2x^4 - 4x^2 + x + 20 Step X F(X) 0 0.0000000000000000e+00 2.0000000000000000e+01 0 2.0000000000000000e+00 3.8000000000000000e+01 1 7.6393202250021019e-01 1.9110723042565827e+01 2 1.2360679774997896e+00 1.9793348877508201e+01 3 4.7213595499957939e-01 1.9679866355470658e+01 4 8.3739521786583804e-01 1.9015921346275928e+01 5 9.8967466165729046e-01 1.8990518778794605e+01 6 9.3029165880627229e-01 1.8966503062503424e+01 7 9.2709899974199139e-01 1.8966572443965962e+01 8 9.3029084671081241e-01 1.8966503063661815e+01 9 9.3040336527467660e-01 1.8966502983430733e+01 10 9.5304298593556636e-01 1.8969864091860554e+01 11 9.3040293363776616e-01 1.8966502983429503e+01 12 9.3040291977368195e-01 1.8966502983429503e+01 13 9.3040290590959795e-01 1.8966502983429503e+01 14 9.3036041329727748e-01 1.8966502994974086e+01 15 9.3038667517596230e-01 1.8966502985116534e+01 16 9.3039670632101146e-01 1.8966502983676651e+01 17 9.3040053787747423e-01 1.8966502983465951e+01 18 9.3040200140181317e-01 1.8966502983434967e+01 19 9.3040256041836722e-01 1.8966502983430360e+01 20 9.3040277394369064e-01 1.8966502983429649e+01 21 9.3040285550310675e-01 1.8966502983429535e+01 22 9.3040288665603155e-01 1.8966502983429510e+01 23 9.3040288665603155e-01 1.8966502983429510e+01 g_07(x) = 2x^4 - 4x^2 + x + 20 Step X F(X) 0 -2.0000000000000000e+00 3.4000000000000000e+01 0 0.0000000000000000e+00 2.0000000000000000e+01 1 -1.2360679774997898e+00 1.7321212922508622e+01 2 -7.6393202250021042e-01 1.7582858997565403e+01 3 -1.5278640450004206e+00 2.0033214756109981e+01 4 -1.0214935754564194e+00 1.6982282077417754e+01 5 -1.0334472048353480e+00 1.6975804365558695e+01 6 -1.0533490908838736e+00 1.6970650819624851e+01 7 -1.0579744730861760e+00 1.6970495272290233e+01 8 -1.0574921449033727e+00 1.6970492731318533e+01 9 -1.0574527467194874e+00 1.6970492717458466e+01 10 -1.0574537794509160e+00 1.6970492717448590e+01 11 -1.0574537636936268e+00 1.6970492717448590e+01 12 -1.0574537479363377e+00 1.6970492717448593e+01 13 -1.0574537479363377e+00 1.6970492717448593e+01 local_min_rc_test(): Normal end of execution. 07-Jan-2022 22:45:40