Durán García Natanael
MPARATIVA OPTIMIZACION CON STEEPEST DESCENT


                                                F1    ...
a Natanael

                                                                                                              ...
PLICANDO DISTANCIA EUCLIDEANA HASTA F6

  F6                                F14                                 F7        ...
F9                                F16                                 F13
F(X)        Min         X1         F(X)         ...
Durán García Natanael
  TABLA COMPARATIVA OPTIMIZACION CON NELDER-MEAD DOWNHILL SIMPLEX


                                ...
urán García Natanael



                                  F3                                                     F11      ...
F6                                      F14                                           F7                                  ...
F9                                       F16                                        F13
     F(X)          Min         X1 ...
Durán García Natanael
  TABLA COMPARATIVA OPTIMIZACION CON BROYDEN-FLETCHER-GOLDFARB-SHANNO


                            ...
urán García Natanael



                                F3                                                   F11          ...
F6                               F14                                     F7                                F9
     Min    ...
F9                                     F16                                      F13
     F(X)        Min         X1       ...
Durán García Natanael

                                                                                           TABLA CO...
PTIMIZACION CON DAVIDON-FLETCHER-POWELL

                 F3                                           F11                ...
F14                           F7                                  F9                                  F16
     F(X)      M...
F16                         F13
      Min       X1          F(X)           Min
      -0.0003    0.0000      -3.0429       ...
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  1. 1. Durán García Natanael MPARATIVA OPTIMIZACION CON STEEPEST DESCENT F1 F10 Ciclos X F(X) Min X1 F(X) Min 1 -15.5364 9.5088 14.5399 2.9849 -1.9899 12.9344 2 0.1154 3.0268 -0.8781 0.9950 0.0000 0.9950 3 9.6502 -15.8075 8.6551 -13.9269 -8.9540 275.5838 4 0.4095 3.1120 -0.5900 -1.9899 0.9950 4.9748 5 -0.5908 15.6190 -0.4052 -1.9899 14.9212 227.8229 6 11.9584 9.3736 10.9597 0.9950 17.9035 323.3128 7 -15.9467 -15.7182 14.9468 6.9644 4.9747 73.6257 8 0.0881 9.6545 -0.8856 0.9950 3.9798 16.9142 9 13.7524 9.4480 12.7526 1.9899 -1.9899 7.9597 10 -13.7167 9.4022 12.7169 -3.9798 2.9849 24.8738 11 -14.5859 -15.6968 13.5859 -9.9487 -10.9434 219.8753 12 0.0000 -9.8557 -0.9086 6.9644 13.9269 243.7469 13 5.1525 9.4507 4.1528 2.9849 -0.9950 9.9496 14 3.3274 9.6013 2.3430 6.9644 -19.8909 446.6588 15 -10.6069 9.3983 9.6073 0.9950 -4.9747 25.8687 16 5.8239 15.7352 4.8243 0.9950 -1.9899 4.9748 17 -12.0952 -3.1078 11.0958 -0.9950 0.0000 0.9950 18 -1.4197 9.4460 0.4200 -3.9798 9.9487 115.4109 19 -0.3145 9.3966 -0.6851 0.9950 0.9950 1.9899 20 -0.0391 -9.3590 -0.9587 0.9950 -0.9950 1.9899 21 -14.5333 9.4408 13.5335 -12.9325 8.9540 248.7244 22 -9.7730 -3.1491 8.7730 -0.9950 -13.9269 195.9899 23 0.0711 -9.4378 -0.9288 0.0000 -1.9899 3.9798 24 -0.5493 -3.1647 -0.4504 -1.9899 4.9747 28.8536 25 -10.4841 9.4050 9.4843 5.9696 1.9899 39.7978 26 0.1116 -9.3674 -0.8867 -0.9950 -5.9696 36.8130 27 -6.9647 3.1612 5.9648 3.9798 0.9950 16.9142 28 -15.3401 -3.1856 14.3410 -5.9696 -1.9899 39.7978 29 -3.8062 -15.7914 2.8096 0.0000 -2.9849 8.9546 30 0.3771 -9.5176 -0.6186 -2.9849 5.9696 44.7726 Desv.Estandar 8.4414 10.2503 6.0828 5.1442 8.1097 120.9807 Media(prom) -3.1822 1.0340 5.5770 -0.5637 0.4643 90.1685 suma -95.4650 31.0214 s -16.9096 13.9290 2705.0546 Función a Graficar f1 f2 MÉTODO STEEPEST DESCENDENT Función µ Posición µ Posición real x y Mínimos x y 1 -3.1822 1.0340 5.5770 0.0000 2 -0.5637 0.4643 90.1685 0.0000 0.0000 3 -0.4240 0.0632 3.0548 0.0000 0.0000 4 1.0467 -1.8840 0.1488 0.0000 0.0000 5 0.0000 0.2260 -0.1192 9.6204 6 -2.5406 -2.5356 -32.0864 1.0000 1.6606 7 0.0500 0.0500 0.1950 0.9039 0.8668 8 -0.0444 -0.0067 8.9420 varios varios 9 -6.1560 -3.9175 -33.4717 -14.5800 -20.0000 10 0.0069 -0.0003 4.6860 0.0000 0.0000
  2. 2. a Natanael APLICANDO DISTANCIA EU F3 F11 F6 X1 F(X) Min X1 F(X) Min X1 F(X) -0.0381 0.3958 1.5811 -6.2800 -12.5601 0.0493 0.0000 0.0000 -0.3130 0.2560 1.6346 3.1400 -9.4201 0.0247 0.0000 0.0000 0.1125 0.0071 1.2699 -18.8401 12.5601 0.1282 0.0000 0.0000 0.1946 0.1706 6.6952 -9.4201 -3.1400 0.0247 0.0000 -0.0047 -0.1617 0.0088 2.6224 6.2800 -6.2800 0.0197 0.0000 0.0000 0.3200 -0.1846 1.3648 9.4201 -3.1400 0.0247 0.0000 0.0000 0.0694 0.2628 7.3872 6.2800 6.2800 0.0197 0.0000 0.0000 -0.1052 0.1544 3.4909 0.0000 -18.8401 0.0888 0.0000 0.0000 -0.1961 -0.2628 1.0751 -9.4201 -3.1400 0.0247 0.0000 0.0000 0.1091 0.3485 1.3338 -9.4201 -9.4201 0.0444 0.0000 0.0000 -0.1179 -0.0168 1.4188 12.5601 0.0000 0.0395 0.0000 0.0000 0.2285 -0.0495 5.4651 15.7001 -3.1400 0.0641 0.0000 0.0000 -0.1294 0.4057 1.8137 9.4201 -3.1400 0.0247 0.0000 0.0000 0.1537 -0.2295 7.6280 12.5601 12.5601 0.0789 0.0000 0.0000 0.1870 -0.3793 1.7885 -6.2800 -12.5601 0.0493 0.0000 0.0000 0.1331 -0.4239 1.9738 12.5601 18.8401 0.1282 0.0000 0.0000 0.0429 -0.6777 4.6108 -6.2800 6.2800 0.0197 0.0000 6.7516 -0.4020 -0.4801 3.9213 -3.1400 15.7001 0.0641 0.0000 0.0000 0.1580 0.4597 2.3625 12.5601 -12.5601 0.0789 0.0000 0.0000 -0.4942 0.1270 2.6032 12.5601 18.8401 0.0641 0.0000 0.0000 -0.5578 0.1392 3.3051 3.1400 15.7001 0.0641 0.0000 0.0329 0.3154 0.1767 1.3068 3.1400 -15.7001 0.0493 0.0000 0.0000 -0.0422 0.1413 2.1736 -12.5601 -6.2800 0.0789 0.0000 0.0000 0.2742 -0.4930 3.1826 12.5601 12.5601 0.0493 0.0000 0.0000 -0.0424 -0.2041 4.3450 12.5601 -6.2800 0.0641 0.0000 0.0000 -0.1047 0.7184 5.2709 3.1400 -15.7001 0.1233 0.0000 0.0000 -0.9805 0.7197 1.4793 -15.7001 -15.7001 0.0099 0.0000 0.0000 0.1015 0.5259 2.8686 6.2800 0.0000 0.0395 0.0000 0.0000 0.0947 0.1065 2.0319 -12.5601 0.0000 0.1282 0.0000 0.0000 -0.0824 0.1720 3.6383 -12.5601 -18.8401 -6.1297 0.0000 0.0000 0.2859 0.3532 1.8705 10.3761 11.6209 1.1302 0.0000 1.2325 -0.0424 0.0632 3.0548 1.0467 -1.8840 -0.1488 0.0000 0.2260 -1.2730 1.8948 91.6428 31.4002 -56.5203 -4.4627 0.0000 6.7798 f3 f4 f5 Mínimo Desv.Est. Error Posición Error DistEucl real Mínimos x y Mínimo (x,y) 1.0000 6.0828 -3.1822 1.0340 4.5770 2.15 0.0000 120.9807 -0.5637 0.4643 90.1685 0.1 1.0000 1.8705 -0.4240 0.0632 2.0548 0.36 0.0000 1.1302 1.0467 -1.8840 0.1488 0.84 -100.2200 0.6453 -9.6204 0.2260 100.1008 9.39 -0.3356 73.4262 -3.5406 -4.1962 -31.7508 7.74 -18.5547 0.0000 -0.8539 -0.8168 18.7497 1.67 varios 10.4758 0 -23.8060 38.3304 8.4240 16.0825 -9.6657 24.51 0.0000 3.5129 0.0069 -0.0003 4.6860 0.01
  3. 3. PLICANDO DISTANCIA EUCLIDEANA HASTA F6 F6 F14 F7 F9 Min X1 F(X) Min X1 F(X) Min X1 -0.0001 20.0316 2.4627 -22.6768 0.0500 0.0500 0.1950 -0.5874 -0.0001 2.7714 -0.0001 -2.7602 0.0500 0.0500 0.1950 1.8541 0.0000 -13.7490 14.9393 -30.1708 0.0500 0.0500 0.1950 1.8918 -0.0170 10.6088 -2.4568 -13.2538 0.0500 0.0500 0.1950 0.6685 0.0000 9.0386 -2.4618 -11.6833 0.0500 0.0500 0.1950 0.7004 0.0000 9.0365 0.1212 -9.0031 0.0500 0.0500 0.1950 0.4811 0.0000 -1.2283 -5.5428 -7.2760 0.0500 0.0500 0.1950 -1.9230 0.0000 -18.4604 -0.0325 -18.4562 0.0500 0.0500 0.1950 1.8992 0.0000 4.3341 5.5428 -10.3993 0.0500 0.0500 0.1950 -1.0750 0.0000 2.7714 -8.6682 -12.2794 0.0500 0.0500 0.1950 -1.5119 0.0000 7.4696 8.6682 -16.9847 0.0500 0.0500 0.1950 -0.9686 0.0000 5.9011 -8.6682 -15.4150 0.0500 0.0500 0.1950 -1.3911 0.0000 -7.4696 8.6682 -16.9847 0.0500 0.0500 0.1950 -1.5134 0.0000 4.3341 -5.5428 -10.3993 0.0500 0.0500 0.1950 -1.6229 0.0000 -4.3341 2.4566 -6.9749 0.0500 0.0500 0.1950 -0.4039 0.0000 0.0000 2.4566 -2.6480 0.0500 0.0500 0.1950 -0.6305 -3.5357 -5.9011 -5.5428 -11.9682 0.0500 0.0500 0.1950 1.1787 -0.0001 5.9011 5.5428 -11.9682 0.0500 0.0500 0.1950 0.7449 0.0000 9.0390 -8.6682 -18.5547 0.0500 0.0500 0.1950 -1.7808 -0.0007 -9.0390 -8.6682 -18.5547 0.0500 0.0500 0.1950 -1.8152 -0.0209 0.0000 -5.5428 -6.0724 0.0500 0.0500 0.1950 0.8807 0.0000 210.0943 -52.6265 -267.9806 0.0500 0.0500 0.1950 1.5112 0.0000 -12.1785 2.4580 -14.8242 0.0500 0.0500 0.1950 -1.7173 0.0000 15.3213 -5.5505 -21.3885 0.0500 0.0500 0.1950 1.2015 0.0000 -7.4696 -2.4563 -10.1134 0.0500 0.0500 0.1950 0.1747 0.0000 -5.9011 0.0000 -5.8958 0.0500 0.0500 0.1950 0.8627 0.0000 7.4697 2.4570 -10.1134 0.0500 0.0500 0.1950 -0.2670 0.0000 -304.3422 -24.3544 -331.1290 0.0500 0.0500 0.1950 0.2429 0.0000 -9.0389 0.0018 -9.0355 0.0500 0.0500 0.1950 0.9961 0.0000 -1.2283 14.9393 -17.6272 0.0500 0.0500 0.1950 0.5872 0.6453 69.1930 12.2200 73.4262 0.0000 0.0000 0.0000 1.2551 -0.1192 -2.5406 -2.5356 -32.0864 0.0500 0.0500 0.1950 -0.0444 -3.5746 -76.2175 -76.0684 -962.5913 0.0000 1.5000 5.8500 -1.3323 f6 f7
  4. 4. F9 F16 F13 F(X) Min X1 F(X) Min X1 F(X) Min -0.2022 -1.9393 27.1814 -7.2116 -24.4854 0.0001 8.2781 10.9834 -1.8308 33.0806 -3.0077 -3.8729 -5.7044 0.0155 4.5403 4.6301 -1.2432 16.3797 31.3967 43.6236 -79.4493 -0.0975 0.0332 0.1424 0.3458 -1.3616 -21.5091 -27.8366 -35.5344 0.0026 -4.5596 4.6137 -0.5559 -0.4365 -21.5457 -27.8741 -35.5348 0.0005 -4.5617 4.6116 1.2446 2.7840 27.1818 -7.2113 -24.4854 0.0022 4.5821 4.6132 -1.6645 28.4783 27.1818 -7.2113 -24.4854 0.1965 -0.1799 0.4296 0.6054 12.7083 27.1820 -7.2112 -24.4854 0.0009 6.6097 6.7015 -0.3860 0.4141 -17.9105 -29.1685 -33.4973 0.0026 1.9344 1.9512 -0.9262 6.9721 -3.0077 -3.8729 -5.7044 -0.2694 -0.0056 0.3578 -0.6733 0.4010 -3.0077 -3.8729 -5.7044 0.0000 9.3203 9.4767 -0.6080 3.1656 -3.0077 -3.8729 -5.7044 0.0100 -6.6100 6.7097 1.5366 16.8676 27.1817 -7.2113 -24.4854 0.0229 -0.0015 0.0586 1.7202 21.9909 -11.9529 60.0820 -73.7078 0.0441 -6.6298 6.7397 -1.8104 21.9354 -3.0077 -3.8729 -5.7044 0.0014 -3.0490 3.0699 0.9439 0.5558 -21.3874 -27.7078 -35.5288 0.0015 -3.0589 3.0721 0.1796 1.3678 -3.0077 -3.8729 -5.7044 0.0012 1.1366 1.1457 1.5745 11.4962 27.1817 -7.2114 -24.4854 0.0018 -3.0432 3.0698 -0.7854 10.4017 -3.0077 -3.8729 -5.7044 0.0072 1.1279 1.1488 -1.2181 16.4108 -3.0077 -3.8729 -5.7044 0.0000 9.2753 9.4976 0.8870 0.9143 -128.9376 -75.5461 -188.7118 0.0102 -1.9249 1.9572 0.3297 4.0021 -3.0077 -3.8729 -5.7044 0.0000 -6.6488 6.6975 1.6910 24.5953 -43.4320 15.2019 -64.6943 0.0000 -9.3177 9.4776 -0.8562 2.0369 -3.0077 -3.8729 -5.7044 0.0005 -1.9230 1.9510 1.9391 27.1452 -3.0077 -3.8729 -5.7044 0.0000 -9.3166 9.4780 1.3559 6.3612 -17.9063 -29.1624 -33.4973 0.0029 -6.6108 6.7030 -0.1175 -1.5781 -46.4579 11.7802 -64.4860 0.0047 1.9349 1.9529 -0.9236 2.0731 -43.4320 15.2019 -64.6943 0.0003 9.3931 9.4669 0.0156 1.5076 31.3966 43.6236 -79.4493 0.0000 9.3692 9.4666 -0.7690 -0.4705 -3.0077 -3.8729 -5.7044 0.2431 -0.1029 0.4058 1.1376 10.4758 32.2173 24.7585 38.3304 0.0791 5.6900 3.5129 -0.0067 8.9420 -6.1560 -3.9175 -33.4717 0.0069 -0.0003 4.6860 -0.2014 268.2596 -184.6801 -117.5252 -1004.1506 0.2058 -0.0088 140.5796 f8 f9 f10
  5. 5. Durán García Natanael TABLA COMPARATIVA OPTIMIZACION CON NELDER-MEAD DOWNHILL SIMPLEX F1 F10 Ciclos X F(X) Min X1 F(X) Min 1 0.0000 15.71 -1.0000 -0.0007 -0.18 -1.0000 2 0.0000 15.71 -1.0000 -0.2804 -0.43 -1.0000 3 0.0000 -15.71 -1.0000 0.0005 -0.14 -1.0000 4 0.0000 3.14 -1.0000 -0.2193 -0.15 -1.0000 5 0.0000 34.56 -1.0000 0.4297 0.12 -1.0000 6 0.0000 34.56 -1.0000 0.1402 -0.19 -1.0000 7 0.0000 -3.14 -1.0000 -0.1267 0.42 -1.0000 8 0.0000 -21.99 -1.0000 -0.3207 0.12 -1.0000 9 0.0000 15.71 -1.0000 0.3111 0.35 -1.0000 10 0.0000 28.27 -1.0000 -0.1458 0.02 -1.0000 11 0.0000 -21.99 -1.0000 -0.0609 0.17 -1.0000 12 0.0000 15.71 -1.0000 -0.1760 -0.24 -1.0000 13 0.0000 9.43 -1.0000 -0.1480 -0.22 -1.0000 14 0.0000 -3.14 -1.0000 -0.0189 0.35 -1.0000 15 0.0000 -21.99 -1.0000 0.1215 0 -1.0000 16 0.0000 -28.27 -1.0000 -0.0967 0.4 -1.0000 17 0.0000 -28.27 -1.0000 0.1286 0.15 -1.0000 18 0.0000 21.99 -1.0000 0.2563 -0.08 -1.0000 19 0.0000 -15.71 -1.0000 -0.2014 -0.16 -1.0000 20 0.0000 -34.56 -1.0000 -0.1812 0.07 -1.0000 21 0.0000 -3.14 -1.0000 -0.0418 0.29 -1.0000 22 0.0000 15.71 -1.0000 0.0814 0.27 -1.0000 23 0.0000 -3.14 -1.0000 0.0833 -0.49 -1.0000 24 0.0000 9.42 -1.0000 -0.1634 0.31 -1.0000 25 0.0000 9.42 -1.0000 -0.1537 0.21 -1.0000 26 0.0000 15.71 -1.0000 0.3423 -0.04 -1.0000 27 0.0000 -15.71 -1.0000 -0.1999 -0.33 -1.0000 28 0.0000 -3.14 -1.0000 0.1142 -0.3 -1.0000 29 0.0000 -9.42 -1.0000 -0.1076 -0.37 -1.0000 30 0.0000 -9.42 -1.0000 -0.3105 0.2728 0.27 -1.0000 Desv.Estandar 0.0000 19.1529 0.0000 0.1926 0.2648 0.0000 Media(prom) 0.0000 0.2095 -1.0000 -0.0219 0.0070 -1.0000 suma 0.0000 6.2844 -30.0000 -0.6340 0.2106 -30.0000 Función a Graficar f1 f2 MÉTODO NELDER MEAD Función µ Posición µ Posición real x y Mínimos x y 1 0.0000 0.2095 -1.0000 0.0000 2 0.0219 0.0070 -1.0000 0.0000 0.0000 3 0.0661 -2.3545 1.0000 0.0000 0.0000 4 1.1430 1.3635 0.3807 0.0000 0.0000 5 -0.3079 -9.9283 -0.1164 9.6204 6 -1.7801 0.6971 -9.8808 1.0000 1.6606 7 0.0500 -0.1583 0.1372 0.9039 0.8668 8 0.2268 -0.0990 0.0940 varios varios 9 -1.0216 -4.2685 -29.3661 -14.5800 -20.0000 10 0.0000 0.7258 6.4588 0.0000 0.0000
  6. 6. urán García Natanael F3 F11 F6 X1 F(X) Min X1 F(X) Min X1 Dif 1.9899 -7.9592 1.0000 -15.7001 -9.4201 0.0838 0.0000 -9.6204 8.9540 -12.9325 1.0000 12.5601 -18.8401 0.1282 0.0000 -9.6204 7.9592 -11.9380 1.0000 15.7001 9.4200 0.0838 0.0000 -9.6204 -4.9747 4.9747 1.0000 0.0000 6.2801 0.0099 0.0002 -9.6202 14.9212 -4.9747 1.0000 -9.4201 -3.1401 0.0247 0.0000 -9.6204 16.9096 10.9434 1.0000 21.9802 3.1400 0.1233 -0.0104 -9.6308 -0.9950 -2.9848 1.0000 0.0000 -12.5601 0.0395 0.0000 -9.6204 -1.9899 -7.9592 1.0000 0.0000 6.2800 0.0099 -0.0001 -9.6205 0.0000 0.9950 1.0000 9.4201 -3.1400 0.0247 0.0000 -9.6204 -2.9849 0.0000 1.0000 -6.2801 18.8401 0.0986 0.0022 -9.6182 5.9696 -4.9747 1.0000 -21.9802 15.7001 0.1825 -0.3586 -9.9790 12.9325 0.9950 1.0000 18.8401 12.5601 0.1282 -0.0259 -9.6463 -6.9644 0.9950 1.0000 -15.7001 -9.4201 0.0838 0.2992 -9.3212 0.9950 1.9899 1.0000 -6.2800 6.2800 0.0197 -0.7464 -10.3668 4.9747 3.9798 1.0000 -15.7001 9.4201 0.0838 -0.0001 -9.6205 0.0000 -7.9592 1.0000 -18.8401 6.2800 0.0986 0.2290 -9.3914 -0.9950 0.0000 1.0000 0.0000 12.5601 0.0395 -0.0023 -9.6227 -0.9949 -1.9899 1.0000 9.4200 15.7001 0.0838 -0.0010 -9.6214 -10.9434 -12.9325 1.0000 18.8401 -6.2801 0.0986 -0.0003 -9.6207 -9.9487 -2.9849 1.0000 6.2800 -12.5601 0.0493 -6.2432 -15.8636 -10.9434 3.9797 1.0000 -21.9802 9.4201 0.1430 -0.2038 -9.8242 -2.9849 -11.9380 1.0000 0.0011 0.0000 5.6697 0.0000 -9.6204 0.9950 2.9849 1.0000 15.7001 3.1401 0.0641 0.0615 -9.5589 -3.9798 0.0000 1.0000 3.1400 15.7002 0.0641 -1.3480 -10.9684 -9.9487 -3.9798 1.0000 9.4200 3.1400 0.0247 0.0000 -9.6204 3.9798 -9.9487 1.0000 -12.5601 -12.5601 0.0789 0.0000 -9.6204 3.9798 8.9540 1.0000 15.7001 -21.9802 0.1825 0.0000 -9.6204 -2.9849 0.9950 1.0000 0.0000 -12.5601 0.0395 -0.7241 -10.3445 -7.9593 -6.9645 1.0000 21.9802 9.4201 0.1430 -0.1694 -9.7898 -2.9848 0.0000 1.0000 -0.2512 0.0847 3.5160 0.0059 -9.6145 7.3101 6.3001 0.0000 13.4367 11.1451 1.1804 1.1653 1.1653 0.0661 -2.3545 1.0000 1.1430 1.3635 0.3807 -0.3079 -9.9283 1.9836 -70.6342 30.0000 34.2899 40.9048 11.4197 -9.2356 -297.8476 f3 f4 f5 Mínimo Desv.Est. Error Posición Error DistEucl real Mínimos x y Mínimo (x,y) 1.0000 0.0000 0.0000 0.2095 -2.0000 0.21 0.0000 0.0000 0.0219 0.0070 -1.0000 0.03 1.0000 0.0000 0.0661 -2.3545 0.0000 2.29 0.0000 1.1804 1.1430 1.3635 0.3807 2.51 -100.2200 0.5870 -9.9283 -9.9283 100.1036 19.86 -0.3356 4.0081 -2.7801 -0.9635 -9.5452 3.74 -18.5547 0.2227 -0.8539 -1.0251 18.6919 1.88 varios 3.1363 0 -23.8060 26.8386 13.5584 15.7315 -5.5601 29.29 0.0000 4.3261 0.0000 0.7258 6.4588 0.73
  7. 7. F6 F14 F7 F9 Min X1 F(X) Min X1 F(X) Min X1 0.0000 -9.0390 -5.5428 -15.1079 0.0500 -3.6850 -0.8053 0.3439 0.0000 -7.4697 -5.5428 -13.5379 0.0500 -2.4626 -0.5382 0.0035 0.0000 -1.2283 0.0000 -1.2036 0.0500 0.0500 0.1950 -1.0636 0.0000 -1.2283 8.6682 -10.7228 0.0500 0.0500 0.1950 0.7887 0.0000 0.0000 8.6682 -9.5192 0.0500 0.0500 0.1950 0.9067 0.0000 2.7714 8.6682 -12.2794 0.0500 0.0500 0.1950 0.7703 0.0000 -5.9011 2.4566 -8.5437 0.0500 0.0500 0.1950 -0.2932 0.0000 -4.3341 2.4566 -6.9749 0.0500 0.0500 0.1950 -0.6778 0.0000 4.3341 -8.6682 -13.8461 0.0500 0.0500 0.1950 -0.9243 0.0000 -4.3341 -5.5428 -10.3993 0.0500 0.0500 0.1950 1.1902 -0.0072 2.7714 8.6682 -12.2794 0.0500 0.0500 0.1950 1.6116 -0.0001 -2.7714 5.5428 -8.8326 0.0500 0.0500 0.1950 1.0767 -0.0086 4.3341 -8.6682 -13.8461 0.0500 0.0500 0.1950 1.2341 -0.0537 2.7714 -2.4566 -5.4081 0.0500 0.0500 0.1950 -0.5148 0.0000 9.0390 -8.6683 -18.5547 0.0500 0.0500 0.1950 0.5640 -0.0048 -1.2283 -2.4566 -3.8516 0.0500 0.0500 0.1950 -0.7069 0.0000 -1.2283 5.5428 -7.2760 0.0500 0.0500 0.1950 -0.2562 0.0000 -4.3341 5.5428 -10.3993 0.0500 0.0500 0.1950 1.0216 0.0000 -1.2283 -8.6682 -10.7228 0.0500 0.0500 0.1950 1.5429 -3.2207 -5.9011 5.5427 -11.9682 0.0500 0.0500 0.1950 0.0749 -0.0035 -1.2283 -8.6682 -10.7228 0.0500 0.0500 0.1950 0.3716 0.0000 -2.7714 2.4566 -5.4081 0.0500 0.0500 0.1950 -1.1832 -0.0003 -5.9011 5.5428 -11.9682 0.0500 0.0500 0.1950 0.8411 -0.1418 -5.9010 8.6682 -15.4150 0.0500 0.0500 0.1950 1.0647 0.0000 -4.3341 5.5428 -10.3993 0.0500 0.0500 0.1950 0.2153 0.0000 -5.9011 -5.5427 -11.9682 0.0500 0.0500 0.1950 -1.5823 0.0000 -9.0390 2.4566 -11.6835 0.0500 0.0500 0.1950 0.7683 -0.0479 4.3341 0.0000 -4.3269 0.0500 0.0500 0.1950 -1.2412 -0.0026 -1.2283 2.4565 -3.8516 0.0500 0.0500 0.1950 -0.6823 0.0000 2.7713 2.4566 -5.4081 0.0500 0.0500 0.1950 1.5409 0.5870 4.4260 6.1372 4.0081 0.0000 0.8086 0.2227 0.9344 -0.1164 -1.7801 0.6971 -9.8808 0.0500 -0.1583 0.1372 0.2268 -3.4912 -53.4036 20.9118 -296.4253 0.0000 -4.7476 4.1165 6.8052 f6 f7
  8. 8. F9 F16 F13 F(X) Min X1 F(X) Min X1 F(X) Min -0.9654 -0.8932 -43.4320 15.2019 -64.6943 0.0000 -3.0429 3.0683 1.0408 -0.6825 3.4928 -5.5072 -2.6302 0.0000 -6.6390 6.6971 -0.2232 -1.7890 -4.8170 -7.9601 -4.1391 0.0000 4.5718 4.6105 -0.5772 -2.2338 -11.9539 60.0825 -73.7078 0.0000 9.3811 9.4662 -0.4238 -2.2368 -43.4320 15.2019 -64.6943 0.0000 9.3812 9.4662 0.8162 -2.2629 -4.8170 -7.9601 -4.1391 0.0000 1.1335 1.1447 0.2762 -2.6013 -4.8170 -7.9601 -4.1391 0.0000 1.9327 1.9492 -0.3016 -2.8186 7.4273 -36.3092 -29.8418 0.0000 -12.9543 13.0761 -1.1547 1.4927 17.2517 -17.6258 -16.0553 0.0000 9.3812 9.4662 -0.3014 -0.4737 -3.0077 -3.8729 -5.7044 0.0000 -6.6390 6.6971 -0.4414 3.9570 -21.5520 -27.8815 -35.5348 0.0000 -1.1334 1.1447 -0.4232 -2.3909 3.4928 -5.5072 -2.6302 0.0000 12.9542 13.0761 1.0713 1.9866 31.3968 43.6237 -79.4493 0.0000 -9.3809 9.4662 -1.1929 0.9675 27.1849 -7.2088 -24.4854 0.0000 -1.1335 1.1447 0.6262 -2.1396 7.4274 -36.3092 -29.8418 0.0000 17.5357 17.7067 0.6593 -1.9361 31.3967 43.6237 -79.4493 0.0000 -4.5719 4.6105 1.3173 2.7528 27.1849 -7.2088 -24.4854 0.0000 -4.5718 4.6105 -1.3975 5.6154 7.4273 -36.3092 -29.8418 0.0000 0.0000 0.0001 0.8083 3.4169 -4.8170 -7.9601 -4.1391 0.0000 3.0429 3.0683 0.6564 -2.4856 -17.9129 -29.1703 -33.4973 0.0000 -9.3812 9.4662 -1.3098 2.3204 7.4273 -36.3092 -29.8418 0.0000 9.3812 9.4662 -0.3682 -0.9064 -3.0077 -3.8729 -5.7044 0.0000 -6.6390 6.6971 1.1656 1.6223 -3.0076 -3.8729 -5.7044 0.0000 -3.0429 3.0683 -0.8161 -0.4406 7.4273 -36.3093 -29.8418 0.0000 9.3812 9.4662 0.1179 -2.5552 -21.5521 -27.8816 -35.5348 0.0000 -12.9543 13.0761 -1.4094 10.8834 -3.0077 -3.8729 -5.7044 0.0000 3.0430 3.0683 -0.0174 -2.4779 -3.0077 -3.8729 -5.7044 0.0000 4.5717 4.6105 -0.0200 -0.4336 31.3968 43.6237 -79.4493 0.0000 6.6390 6.6971 -0.4248 -3.1178 -3.0077 -3.8729 -5.7044 0.0000 4.5718 4.6105 0.2434 2.6797 -43.4321 15.2019 -64.6943 0.0000 -3.0429 3.0683 0.8137 3.1363 20.5113 25.7855 26.8386 0.0000 7.7590 4.3261 -0.0990 0.0940 -1.0216 -4.2685 -29.3661 0.0000 0.7258 6.4588 -2.9691 2.8192 -30.6471 -128.0558 -880.9838 0.0000 21.7752 193.7642 f8 f9 f10
  9. 9. Durán García Natanael TABLA COMPARATIVA OPTIMIZACION CON BROYDEN-FLETCHER-GOLDFARB-SHANNO F1 F10 Ciclos X F(X) Min X1 F(X) Min 1 0.0000 -0.4563 0.9888 -2.98 -6.96 57.7066 2 0.0000 -0.1496 0.9575 0 -1 0.9950 3 0.0000 -0.2926 -0.9997 0 5.97 35.8180 4 0.0000 15.7324 -0.3320 -1.99 0 3.9798 5 0.0000 8.1924 -0.8535 -2.98 1 9.9496 6 0.0000 5.7351 -0.4822 -1.99 -5.97 39.7978 7 0.0000 -16.7756 -0.3379 1 1.99 4.9748 8 0.0000 -14.4819 -0.8096 -3.98 -1 16.9142 9 0.0000 10.0521 -0.9575 -1 -3.98 16.9142 10 0.0000 9.7175 -0.6387 -3.98 1 16.9142 11 0.0000 14.8300 -0.6351 -4.97 9.95 124.3653 12 0.0000 -2.2590 -0.9932 -1 -6.96 49.7470 13 0.0000 -3.0247 0.9686 7.96 -7.96 127.3513 14 0.0000 0.2514 0.9237 -7.96 -4.97 88.5494 15 0.0000 -6.6763 -0.8231 1.99 7.96 67.6555 16 0.0000 2.5376 0.2650 -5.97 0 35.8180 17 0.0000 11.2637 0.5940 -4.97 7.96 88.5494 18 0.0000 5.3484 0.3651 6.96 -1 49.7470 19 0.0000 -17.6525 0.8356 8.95 -1 81.5839 20 0.0000 -6.8647 0.6114 -6.96 -3.98 64.6712 21 0.0000 0.9130 -0.8762 3.98 8.95 96.5081 22 0.0000 -8.9219 0.9776 8.95 1.99 84.5687 23 0.0000 -0.2121 -0.4050 8.95 -1.99 84.5687 24 0.0000 -8.2710 -0.4088 6.96 1 49.7470 25 0.0000 16.8577 -0.8067 -4.97 -3.98 40.7930 26 0.0000 -8.7926 -0.6327 1 1.99 4.9748 27 0.0000 16.5937 0.9703 2.98 1.99 12.9344 28 0.0000 -6.5276 0.5101 -5.97 -2.98 44.7726 29 0.0000 5.2477 0.9928 4.97 -2.98 33.8283 30 0.0000 18.7298 0.9888 -1.99 1.99 7.9597 Desv.Estandar 0.0000 10.1464 0.7838 5.1762 4.7632 36.1969 Media(prom) 0.0000 1.3548 -0.0014 0.0331 -0.0995 48.0886 suma 0.0000 40.6441 -0.0426 0.9933 -2.9862 1442.6575 Función a Graficar f1 f2 MÉTODO BROYDEN-FLETCHER-GOLDFARB-SHANNO Función µ Posición µ Posición real x y Mínimos x y 1 0.0000 1.3548 -0.0014 0.0000 2 0.0331 -0.0995 48.0886 0.0000 0.0000 3 0.0205 -0.0047 0.0457 0.0000 0.0000 4 0.0027 0.0008 0.0277 0.0000 0.0000 5 0.0660 0.0000 -0.1103 9.6204 6 0.0500 0.0500 0.1950 1.0000 1.6606 7 0.0000 -1.0036 -6.1323 0.9039 0.8668 8 0.1081 -0.0850 9.3538 varios varios 9 -0.1816 -0.0962 -0.3090 -14.5800 -20.0000 10 0.0208 1.5819 4.7756 0.0000 0.0000
  10. 10. urán García Natanael F3 F11 F6 X1 F(X) Min X1 F(X) Min X1 F(X) -0.5409 -0.1114 0.0305 0.0273 0.0172 0.0052 0.0000 0.0000 0.2954 -0.3300 0.0196 -0.0103 -0.0175 0.0021 0.0000 0.0000 0.5923 -0.5407 0.0643 -0.0006 -0.0020 0.0000 0.0000 0.0000 -0.0657 -0.0670 0.0009 0.1245 -0.1382 0.1731 0.0000 0.0000 -0.6428 0.6911 0.0891 -0.0089 0.0103 0.0009 0.0000 0.0000 -0.5808 0.1423 0.0358 0.1555 -0.1104 0.1820 0.0000 0.0000 -0.7453 -0.7446 0.1110 0.0000 0.0006 0.0000 0.0000 0.0000 0.6975 0.6867 0.0958 0.0110 -0.0134 0.0015 0.0000 0.0000 0.7250 0.7288 0.1057 -0.0048 -0.0010 0.0001 0.0000 0.0000 0.3754 -0.5206 0.0412 -0.1009 0.0516 0.0643 0.0000 0.0000 -0.6514 -0.6505 0.0847 -0.0767 -0.0790 0.0606 0.0000 0.0000 0.6180 0.6241 0.0771 -0.0766 -0.0425 0.0384 0.0000 0.0000 -0.1386 0.0309 0.0020 -0.0317 0.0150 0.0062 0.0000 0.0000 -0.1194 -0.0981 0.0024 0.0007 -0.0009 0.0000 0.0000 0.0000 0.1431 0.2623 0.0089 0.0551 0.1567 0.1380 0.0000 0.0000 0.4160 0.3425 0.0290 -0.0165 -0.0184 0.0031 0.0000 0.0000 -0.1326 0.5231 0.0291 -0.0300 0.0885 0.0436 0.0000 0.0000 0.1723 -0.2650 0.0100 0.0040 -0.0048 0.0002 0.0000 0.0000 -0.6956 -0.6791 0.0945 -0.0304 0.0244 0.0076 0.0000 0.0000 -0.3723 -0.4040 0.0302 0.0189 -0.0293 0.0061 0.0000 0.0000 -0.1130 -0.1672 0.0041 -0.0477 0.0909 0.0527 0.0000 0.0000 0.7144 0.7036 0.1005 0.0091 -0.0089 0.0008 0.0000 0.0000 0.6741 -0.6474 0.0874 0.0049 -0.0158 0.0014 0.0000 0.0000 0.6324 0.6127 0.0775 0.0130 0.0167 0.0022 0.0000 0.0000 -0.6063 0.5348 0.0654 0.0208 -0.0164 0.0035 0.0000 0.0000 0.3100 -0.4283 0.0280 0.0079 0.0026 0.0003 0.0000 0.0000 0.1852 -0.2265 0.0086 0.0092 0.0072 0.0007 1.9796 0.0000 -0.4110 -0.3871 0.0319 0.0541 0.0412 0.0231 0.0000 0.0000 -0.1065 0.1605 0.0037 0.0177 -0.0320 0.0067 0.0000 0.0000 -0.0154 0.0830 0.0007 -0.0184 0.0305 0.0063 0.0000 0.0000 0.4892 0.4822 0.0377 0.0511 0.0558 0.0505 0.3614 0.0000 0.0205 -0.0047 0.0457 0.0027 0.0008 0.0277 0.0660 0.0000 0.6135 -0.1411 1.3696 0.0802 0.0229 0.8307 1.9796 0.0000 f3 f4 f5 Mínimo Desv.Est. Error Posición Error DistEucl real Mínimos x y Mínimo (x,y) 1.0000 0.7838 0.0000 1.3548 -1.0014 1.35 0.0000 36.1969 0.0331 -0.0995 48.0886 0.07 1.0000 0.0377 0.0205 -0.0047 -0.9543 0.02 0.0000 0.0505 0.0027 0.0008 0.0277 0 -100.2200 0.6041 -9.5544 0.0000 100.1097 9.55 -0.3356 0.0000 -0.9500 -1.6106 0.5306 2.56 -18.5547 4.7173 -0.9039 -1.8704 12.4224 2.77 varios 10.1467 0 -23.8060 1.5711 14.3984 19.9038 23.4970 34.3 0.0000 3.5241 0.0208 1.5819 4.7756 1.6
  11. 11. F6 F14 F7 F9 Min X1 F(X) Min X1 F(X) Min X1 0.0000 0.0500 0.0500 0.1950 5.9011 -2.4566 -8.5437 0.7135 0.0000 0.0500 0.0500 0.1950 2.7714 -2.4566 -5.4081 1.7320 0.0000 0.0500 0.0500 0.1950 -5.9011 5.5428 11.9682 -0.5974 0.0000 0.0500 0.0500 0.1950 -1.2283 -5.5428 -7.2760 1.7258 0.0000 0.0500 0.0500 0.1950 5.9011 -2.4566 -8.5437 1.9484 0.0000 0.0500 0.0500 0.1950 1.2283 -2.4566 -3.8516 -0.5923 0.0000 0.0500 0.0500 0.1950 2.7714 -2.4566 -5.4081 0.9789 0.0000 0.0500 0.0500 0.1950 0.0000 -2.4566 -2.6480 -1.6135 0.0000 0.0500 0.0500 0.1950 -2.7714 -2.4566 -5.4081 -1.6235 0.0000 0.0500 0.0500 0.1950 4.3341 -2.4566 -6.9749 0.2714 0.0000 0.0500 0.0500 0.1950 5.9011 5.5428 -11.9682 -0.1460 0.0000 0.0500 0.0500 0.1950 -1.2283 0.0000 -1.2036 1.0604 0.0000 0.0500 0.0500 0.1950 -2.7714 -2.4566 -5.4081 -1.2398 0.0000 0.0500 0.0500 0.1950 -4.3341 0.0000 -4.3269 -0.5496 0.0000 0.0500 0.0500 0.1950 4.3341 2.4566 -6.9749 -1.8629 0.0000 0.0500 0.0500 0.1950 -4.3341 5.5428 -10.3993 1.1703 0.0000 0.0500 0.0500 0.1950 7.4696 -5.5428 -13.5379 -1.3325 0.0000 0.0500 0 0.050 0.1950 4.3341 -2.4566 -6.9749 -0.2720 0.0000 0.0500 0.0500 0.1950 -1.2283 -2.4566 -3.8516 -1.1173 0.0000 0.0500 0.0500 0.1950 -1.2283 -2.4566 -3.8516 1.3988 0.0000 0.0500 0 0.050 0.1950 -5.9011 2.4566 -8.5437 0.2405 0.0000 0.0500 0.0500 0.1950 -5.9011 -5.5428 -11.9682 0.9662 0.0000 0.0500 0.0500 0.1950 0.0000 -2.4566 -2.6480 -0.0204 0.0000 0.0500 0.0500 0.1950 -1.2283 2.4566 -3.8516 -1.3357 0.0000 0.0500 0.0500 0.1950 -5.9011 5.5428 -11.9682 1.0799 0.0000 0.0500 0.0500 0.1950 4.3341 -5.5428 -10.3993 -0.3139 -3.3086 0.0500 0.0500 0.1950 -1.2283 -2.4566 -3.8516 -1.6382 0.0000 0.0500 0.0500 0.1950 1.2283 2.4566 -3.8516 1.7491 0.0000 0.0500 0.0500 0.1950 4.3341 -5.5428 -10.3993 1.0278 0.0000 0.0500 0.0500 0.1950 5.9011 0.0000 -5.8958 1.4340 0.6041 0.0000 0.0000 0.0000 4.1547 3.4983 4.7173 1.2133 -0.1103 0.0500 0.0500 0.1950 0.0000 -1.0036 -6.1323 0.1081 -3.3086 1.5000 1.4000 5.8500 0.0000 -30.1088 -183.9683 3.2420 f6 f7
  12. 12. F9 F16 F13 F(X) Min X1 F(X) Min X1 F(X) Min 0.0637 0.4809 -0.0030 -0.0039 -0.0057 0.0000 1.1358 1.1448 -1.7751 26.8772 -0.0048 -0.0080 -0.0041 0.0000 6.6053 6.7018 -1.2411 4.9691 -0.0030 -0.0039 -0.0057 0.0000 -1.1343 1.1447 1.9054 34.5272 -0.0030 -0.0039 -0.0057 0.0000 3.0314 3.0696 1.1800 16.6095 -0.0030 -0.0039 -0.0057 0.0000 -6.6546 6.6981 -0.3637 -0.7710 -0.0030 -0.0039 -0.0057 0.0000 9.3818 9.4662 1.4953 11.3444 -0.0030 -0.0039 -0.0057 0.0000 -9.3634 9.4671 -0.7794 7.0521 -0.0030 -0.0039 -0.0057 0.3894 0.0000 0.5411 0.7413 6.5416 -0.0030 -0.0039 -0.0057 0.0000 -0.0005 0.0168 0.2789 -0.7426 0.0272 -0.0070 -0.0245 -0.0404 0.0000 0.0420 -0.6768 -0.9617 -0.0030 -0.0039 -0.0057 0.0000 4.5894 4.6125 -0.6632 0.9729 -0.0030 -0.0030 -0.0057 0.0000 -6.6391 6.6971 -1.3415 8.4105 0.0046 -0.0044 -0.0023 0.0000 9.3800 9.4662 1.3524 7.6559 -0.0030 -0.0039 -0.0057 0.0000 3.0148 3.0759 0.0646 11.5498 -0.0030 -0.0039 -0.0057 0.0000 9.3801 9.4662 0.3483 0.7032 -0.0030 -0.0039 -0.0057 0.0000 4.5718 4.6105 -0.1340 2.9978 -0.0030 -0.0039 -0.0057 0.0000 3.0445 3.0683 1.7220 17.1614 -0.0030 -0.0039 -0.0057 0.0000 9.3865 9.4663 -0.5813 1.6287 0.0272 -0.0072 -0.0245 0.0000 -9.3734 9.4664 0.9664 4.2001 -0.0030 -0.0039 -0.0057 0.0000 3.0353 3.0688 -1.6049 13.2222 -0.0030 -0.0039 -0.0057 0.0000 9.4069 9.4681 -1.1306 3.6534 -0.0030 -0.0039 -0.0057 0.2754 0.0000 0.3512 -1.8680 23.6943 -5.4325 -2.7538 -8.1702 0.0000 -1.9330 1.9492 1.9923 34.3581 0.0051 -0.0039 -0.0018 0.0000 3.0641 3.0727 1.0228 3.6121 -0.0030 -0.0039 -0.0057 0.0000 1.9125 1.9554 -0.5299 -0.4304 -0.0048 -0.0080 -0.0041 0.0000 6.6310 6.6973 0.3833 6.8329 -0.0030 -0.0039 -0.0057 0.0000 6.6598 6.6989 -0.9775 11.6448 -0.0048 -0.0080 -0.0041 0.0000 -1.1584 1.1586 -0.6700 1.4607 -0.0030 -0.0039 -0.0057 0.0000 -9.3603 9.4674 -1.7298 21.3591 -0.0030 -0.0039 -0.0057 0.0000 -1.1578 1.1579 1.1626 10.1467 0.9918 0.5019 1.5711 0.0863 5.7227 3.5241 -0.0850 9.3538 -0.1816 -0.0962 -0.3090 0.0208 1.5819 4.7756 -2.5501 280.6142 -5.4488 -2.8852 -8.3439 0.6244 47.4562 143.2671 f8 f9 f10
  13. 13. Durán García Natanael TABLA COMPARATIVA OPTIMIZACION CON DAVIDO F1 F10 F3 Ciclos X F(X) Min X1 F(X) Min X1 1 0.0000 -15.7458 -0.9993 6.9644 0.0000 48.7520 0.2621 2 0.0000 21.4059 -0.8336 4.9747 -1.9899 28.8536 -0.4619 3 0.0000 15.4644 -0.9705 -7.9592 1.9899 67.6555 0.0628 4 0.0000 -1.1999 0.3624 0.9950 -2.9849 9.9496 -0.0815 5 0.0000 -12.4031 0.9867 8.9540 1.9899 84.5687 0.7276 6 0.0000 -27.4826 -0.7026 1.9899 -2.9849 12.9344 -0.1317 7 0.0000 -13.6077 0.5051 -5.9696 5.9696 71.6360 0.4489 8 0.0000 9.5455 -0.992 -4.9747 -2.9849 33.8283 0.5169 9 0.0000 11.4465 0.4358 6.9644 -6.9644 97.5040 -0.5248 10 0.0000 7.5180 0.3297 -6.9644 0.0000 48.7520 0.0151 11 0.0000 -24.7504 0.9278 1.9899 -6.9644 52.7318 0.4971 12 0.0000 -9.4676 -0.9991 2.9849 6.9644 57.7066 0.6408 13 0.0000 15.0720 -0.8045 5.9696 -4.9747 60.6917 0.1365 14 0.0000 6.5520 0.9641 -3.9798 -5.9696 51.7372 -0.1383 15 0.0000 6.7291 0.9022 -0.9950 -1.9899 4.9748 0.5051 16 0.0000 -22.7425 -0.7307 -3.9798 8.9540 96.5081 0.5323 17 0.0000 -22.3135 -0.9485 -1.9899 -1.9899 7.9597 -0.5544 18 0.0000 0.9381 0.5914 -1.9899 -8.9540 84.5687 0.6353 19 0.0000 -10.4923 -0.4823 -6.9644 3.9798 64.6712 0.3933 20 0.0000 -19.2509 0.9205 0.9950 -2.9849 9.9496 0.2514 21 0.0000 11.8891 0.7793 6.9492 -2.0101 52.8567 -0.1531 22 0.0000 11.2309 0.2332 1.9899 0.9950 4.9748 -0.0766 23 0.0000 4.9406 0.2262 0.0000 -4.9747 24.8737 -0.0348 24 0.0000 0.3968 0.9223 -3.9798 -5.9696 51.7372 0.4685 25 0.0000 -0.6819 0.7764 -0.9950 0.9950 1.9899 0.1578 26 0.0000 16.8895 -0.3795 4.9747 -5.9696 60.6917 -0.5711 27 0.0000 6.5385 0.9676 2.9849 -6.9644 57.7066 -0.4447 28 0.0000 -16.6536 -0.5852 1.9899 1.9899 7.9597 -0.6403 29 0.0000 9.1107 -0.9511 4.9747 -8.9540 105.4626 0.2610 30 0.0000 -0.3048 0.9539 4.9747 0.9950 25.8687 0.3246 Desv.Estandar 0.0000 14.0905 0.7671 4.7683 4.6220 30.6530 0.4079 Media(prom) 0.0000 -1.3810 0.0782 0.6959 -1.7252 46.3352 0.1008 suma 0.0000 -41.4290 1.8766 20.8783 -51.7563 1390.0551 3.0239 Función a Graficar f1 f2 MÉTODO DAVIDON-FLETCHER-POWELL Función µ Posición µ Posición real Mínimo x y Mínimos x y real 1 0.0000 -1.3810 0.0782 0.0000 1.0000 2 0.6959 -1.7252 46.3352 0.0000 0.0000 0.0000 3 0.1008 -0.0304 0.0330 0.0000 0.0000 1.0000 4 0.0173 0.0355 0.0902 0.0000 0.0000 0.0000 5 -0.1098 -0.0015 -0.0434 9.6204 -100.2200 6 0.0500 0.0500 0.1950 1.0000 1.6606 -0.3356 7 -8.9871 -9.2998 -109.3780 0.9039 0.8668 -18.5547 8 -0.1584 -0.3924 9.5396 varios varios varios 9 -0.0014 -0.0370 -0.0381 -14.5800 -20.0000 -23.8060 10 0.0153 -1.9455 3.7822 0.0000 0.0000 0.0000
  14. 14. PTIMIZACION CON DAVIDON-FLETCHER-POWELL F3 F11 F6 F14 F(X) Min X1 F(X) Min X1 F(X) Min X1 -0.1649 0.0096 0.0117 -0.0101 0.0001 0.0277 0.0003 -0.0001 0.0500 -0.1226 0.0228 0.6900 0.6461 0.4470 0.1040 -0.0060 -0.0011 0.0500 -0.0674 0.0008 -0.1742 0.2076 0.0367 0.1696 -0.0003 -0.0028 0.0500 0.0716 0.0012 0.2677 0.4149 0.1219 0.0020 0.0002 0.0000 0.0500 0.7219 0.1051 0.3725 -0.4811 0.1851 0.0056 -0.0011 0.0000 0.0500 -0.2319 0.0071 0.0519 0.0604 0.0031 0.0138 0.0004 0.0000 0.0500 -0.5392 0.0492 -0.2235 0.1611 0.0380 -0.0075 -0.0004 0.0000 0.0500 0.4997 0.0517 -0.4851 -0.7106 0.3704 -0.0127 0.0003 -0.000 0.0500 -0.4990 0.0524 0.0050 -0.0045 0.0000 0.0202 -0.0009 0.0000 0.0500 0.0103 0.0000 0.0869 0.0468 0.0049 0.0151 -0.0004 0.0000 0.0500 -0.4383 0.0439 0.1709 0.1436 0.0250 -0.0084 -0.0002 0.0000 0.0500 -0.6420 0.0823 -0.0519 -0.0080 0.0013 -3.5417 -0.0380 -1.2543 0.0500 0.0503 0.0021 -0.5281 -0.4846 0.2571 -0.0175 -0.0003 0.0000 0.0500 0.4097 0.0187 0.0078 0.0038 0.0000 0.0198 0.0011 0.0000 0.0500 0.4820 0.0487 0.7481 0.3303 0.3346 -0.0185 0.0002 0.0000 0.0500 -0.3827 0.0430 -0.0454 -0.0537 0.0024 -0.0249 0.0002 0.0000 0.0500 0.4781 0.0536 -0.2370 0.1665 0.0420 0.0012 -0.0005 0.0000 0.0500 -0.6317 0.0803 0.0010 0.0050 0.0000 0.0000 0.0006 0.0000 0.0500 0.4959 0.0401 0.3561 -0.5049 0.1908 0.0045 -0.0002 0.0000 0.0500 -0.1403 0.0083 -0.0257 0.0012 0.0003 -0.0282 -0.0003 -0.0001 0.0500 -0.1894 0.0059 0.1137 -0.0560 0.0080 0.0179 0.0002 0.0000 0.0500 -0.0889 0.0014 -0.0885 0.0803 0.0071 0.0171 -0.0009 0.0000 0.0500 -0.1694 0.0030 -0.0132 0.0116 0.0002 -0.0324 0.0010 -0.0001 0.0500 -0.4025 0.0381 0.0100 0.0818 0.0033 0.0000 0.0000 0.0000 0.0500 -0.2336 0.0079 0.0741 -0.1077 0.0085 0.0000 0.0000 0.0000 0.0500 0.5582 0.0638 -0.2515 0.3522 0.0937 -0.0011 -0.0004 0.0000 0.0500 0.4333 0.0386 0.0883 -0.0784 0.0070 0.0018 0.0010 0.0000 0.0500 -0.6405 0.0820 -0.5392 0.8474 0.5046 0.0314 -0.0003 -0.0001 0.0500 0.2332 0.0122 -0.0379 0.0027 0.0007 0.0077 0.0003 0.0000 0.0500 0.2268 0.0157 0.1646 0.0024 0.0135 0.0547 -0.0010 -0.0002 0.0500 0.4043 0.0296 0.2922 0.3157 0.1468 0.6501 #N/A 0.2329 0.0000 -0.0304 0.0330 0.0173 0.0355 0.0902 -0.1060 -0.0015 -0.0434 0.0500 -0.9133 0.9895 0.5191 1.0661 2.7073 -3.1788 -0.0454 -1.2588 1.5000 f3 f4 f5 Desv.Est. Error Posición Error DistEucl Mínimos x y Mínimo (x,y) 0.7671 0.0000 -1.3810 -0.9218 1.38 30.6530 0.6959 -1.7252 46.3352 1.03 0.0296 0.1008 -0.0304 -0.9670 0.07 0.1468 0.0173 0.0355 0.0902 0.05 0.2329 -9.7302 -0.0015 100.1766 9.73 0.0000 -0.9500 -1.6106 0.5306 2.56 249.1629 -9.8910 -10.1666 -90.8233 20.06 10.0573 0 0.2041 14.5786 19.9630 23.7679 34.54 3.3203 0.0153 -1.9455 3.7822 1.93
  15. 15. F14 F7 F9 F16 F(X) Min X1 F(X) Min X1 F(X) Min X1 F(X) 0.0500 0.1950 5.9011 -5.5428 -11.9682 1.1131 .0.3709 0.6714 0.0004 -0.0005 0.0500 0.1950 4.3341 0.0000 -4.3269 -1.9594 -1.6333 27.1906 0.0007 -0.0036 0.0500 0.1950 -5.9011 0.0000 -5.8958 0.9718 0.4136 0.0947 -0.0003 -0.0004 0.0500 0.1950 1.2283 -5.5428 -7.2760 0.1741 -1.1360 2.5446 -0.0005 -0.0008 0.0500 0.1950 9.0390 8.6682 -18.5547 -1.0330 0.9737 1.7243 -0.0003 -0.0004 0.0500 0.1950 -1.2283 5.5428 -7.2760 1.8372 -1.6990 27.3698 -0.0003 -0.0004 0.0500 0.1950 -2.7714 5.5428 -8.8326 -1.5956 -0.5122 5.7014 0.0013 -0.0015 0.0500 0.1950 -2.7714 5.5428 -8.8326 -1.4403 1.7888 24.8593 -0.0003 -0.0004 0.0500 0.1950 -4.3341 5.5428 -10.3993 -0.8422 0.7073 0.6757 -0.0003 -0.0004 0.0500 0.1950 -269.7845 -316.5162 -617.9518 1.5093 -1.1470 6.6923 -0.0003 -0.0004 0.0500 0.1950 7.4696 2.4566 -10.1134 -0.0352 0.4659 -1.1543 -0.0003 -0.0004 0.0500 0.1950 -2.7714 -5.5428 -8.8326 1.5495 -0.2939 5.2590 -0.0005 -0.0008 0.0500 0.1950 -5.9011 5.5428 -11.9682 -0.5741 -0.7866 0.3101 0.0008 -0.0001 0.0500 0.1950 -1.2283 -2.4566 -3.8516 -0.0373 -0.7460 -0.2899 -0.0003 -0.0004 0.0500 0.1950 0.0000 5.5428 -6.0724 -1.9705 1.5558 26.5636 0.0007 -0.0036 0.0500 0.1950 -1.2283 2.4566 -3.8516 1.4863 -1.4291 12.0161 -0.0003 -0.0004 0.0500 0.1950 -5.9011 -2.4566 -8.5437 -0.8860 -1.3679 7.4067 -0.0003 -0.0004 0.0500 0.1950 -4.3341 -2.4566 -6.9749 -1.3028 1.2803 6.7963 -0.0003 -0.0004 0.0500 0.1950 -1.2283 -2.4566 -3.8516 -0.0345 0.6396 0.3496 -0.0003 -0.0004 0.0500 0.1950 -4.3341 2.4566 -6.9749 -1.9398 -1.2145 18.6655 -0.0003 -0.0004 0.0500 0.1950 3.9690 -5.7478 -6.2131 -1.5192 -0.8651 6.3501 -0.0003 -0.0004 0.0500 0.1950 5.9011 2.4566 -8.5437 1.1451 0.4056 1.8313 -0.0003 -0.0004 0.0500 0.1950 1.2283 5.5428 -7.2760 -1.9234 -0.5947 13.5276 -0.0003 -0.0004 0.0500 0.1950 9.0390 11.8021 -22.0063 -0.2584 -0.3396 -1.2777 -0.0003 -0.0004 0.0500 0.1950 4.3341 5.5428 -10.3993 1.0540 -1.3437 8.5355 -0.0003 -0.0004 0.0500 0.1950 -2.7714 -2.4566 -5.4081 0.4554 1.7642 18.7742 0.0007 -0.0036 0.0500 0.1950 4.3341 0.0000 -4.3269 -0.8304 -1.9349 29.1998 -0.0397 -1.0864 0.0500 0.1950 -5.9011 2.4566 -8.5437 1.4477 -1.7704 23.5864 -0.0003 -0.0004 0.0500 0.1950 -1.2283 -2.4566 -3.8516 -0.6108 -1.4328 7.4159 -0.0003 -0.0004 0.0500 0.1950 -2.7714 -2.4566 -5.4081 1.2966 -1.1271 4.7969 -0.0003 -0.0004 0.0000 0.0000 49.4683 58.2047 249.1629 1.2590 1.1435 10.0573 0.0072 0.1982 0.0500 0.1950 -8.9871 -9.2998 -109.3780 -0.1584 -0.3924 9.5396 -0.0014 -0.0370 1.5000 5.8500 -269.6120 -278.9929 -656.2679 -4.7528 -11.3790 286.1868 -0.0424 -1.1093 f6 f7 f8 f9
  16. 16. F16 F13 Min X1 F(X) Min -0.0003 0.0000 -3.0429 3.0683 -0.0030 0.0000 -4.1190 5.4895 -0.0006 0.0000 -3.0241 3.0717 -0.0004 0.0000 4.6434 4.6436 -0.0006 0.0000 9.4038 9.4677 -0.0006 0.0000 -9.3493 9.4691 -0.0012 0.0000 -6.6392 6.6971 -0.0006 0.1778 0.0000 0.2094 -0.0006 0.0000 1.1130 1.1538 -0.0006 0.0000 -6.7207 6.7257 -0.0006 0.0000 1.9446 1.9513 -0.0004 0.0092 0.0000 0.0093 0.0003 -0.0382 0.0000 0.0397 -0.0006 0.0000 -1.7997 2.1835 -0.0030 0.0000 -4.5780 4.6108 -0.0006 0.0000 -0.5268 0.5396 -0.0006 -0.0472 0.0000 0.0494 -0.0006 0.0000 -1.9504 1.9539 -0.0006 0.0000 -4.5630 4.6110 -0.0006 0.0000 -3.0387 3.0685 -0.0006 0.0000 -1.9314 1.9492 -0.0006 0.0000 -4.5773 4.6107 -0.0006 0.0000 1.9319 1.9492 -0.0006 0.0000 -9.3773 9.4662 -0.0006 0.0000 -9.4255 9.4719 -0.0030 0.3220 0.0000 0.4256 -1.1186 0.0000 6.6474 6.6974 -0.0006 -0.1582 0.0000 0.1832 -0.0006 0.0000 -9.3861 9.4662 -0.0006 0.1943 0.0000 0.2321 0.2041 0.0820 4.5837 3.3203 -0.0381 0.0153 -1.9455 3.7822 -1.1422 0.4597 -58.3653 113.4646 f10

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