método del punto fijo
DESCRIPTION
Método Del Punto FijoTRANSCRIPT
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x y x y1 9 4.583333333 2
1.1 7.99090909 4.149659864 2.11.2 7.13333333 3.774104683 2.21.3 6.39230769 3.446754883 2.31.4 5.74285714 3.159722222 2.41.5 5.16666667 2.906666667 2.51.6 4.65 2.682445759 2.61.7 4.18235294 2.482853224 2.71.8 3.75555556 2.304421769 2.81.9 3.36315789 2.144272691 2.92 3 2 3
2.1 2.66190476 1.869580298 3.12.2 2.34545455 1.751302083 3.22.3 2.04782609 1.643709826 3.32.4 1.76666667 1.5455594 3.42.5 1.5 1.455782313 3.52.6 1.24615385 1.37345679 3.62.7 1.0037037 1.297784271 3.72.8 0.77142857 1.228070175 3.82.9 0.54827586 1.163708087 3.93 0.33333333 1.104166667 4
3.1 0.125806453.2 -0.0753.3 -0.269696973.4 -0.458823533.5 -0.642857143.6 -0.822222223.7 -0.99729733.8 -1.168421053.9 -1.335897444 -1.5
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Convergencia punto fijo
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Sistema de ecuaciones no lineales por el mtodo de punto fijo
iteraciones
Conv
erge
ncia
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Funciones:x=y=
iteracin e(%) e*(%) e(%) e*(%)1 1.5 3.449648969 25.00 14.992 1.8772609535 3.093828899 6.14 20.10 3.13 11.503 1.9734469402 3.019568063 1.33 4.87 0.65 2.464 1.9944202751 3.004080074 0.28 1.05 0.14 0.525 1.9988347497 3.000850683 0.06 0.22 0.03 0.116 1.9997569689 3.000177363 0.01 0.05 0.01 0.027 1.9999493258 3.000036979 0.00 0.01 0.00 0.008 1.9999894346 3.00000771 0.00 0.00 0.00 0.009 1.9999977972 3.000001607 0.00 0.00 0.00 0.00
10 1.9999995407 3.000000335 0.00 0.00 0.00 0.0011 1.9999999042 3.00000007 0.00 0.00 0.00 0.0012 1.99999998 3.000000015 0.00 0.00 0.00 0.0013 1.9999999958 3.000000003 0.00 0.00 0.00 0.0014 1.9999999991 3.000000001 0.00 0.00 0.00 0.0015 1.9999999998 3 0.00 0.00 0.00 0.00
Funciones: x=y=
iteracin e(%) e*(%) e(%) e*(%)1 1.5 5.166666667 25.00 72.222 0.6472424558 14.80291832 67.64 131.75 393.43 65.103 0.0641898671 155.7236385 96.79 908.32 5090.79 90.49
x2 + xy =10y + 3xy2 = 57 x=(-1+1+684x)/6x y = (-y+b2+4)/2
xi yi
x2 + xy =10 x = (57 - y)/3y2 y = (10 - x2)/xy + 3xy2 = 57
xi yi
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Cruce de curvasSistema no linealConvergencia punto fijoPunto fijo sistema