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Optimizaciones
- 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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