método de newton raphson

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Método de Newton Raphson

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Cruce de curvas97.99090909097.13333333336.39230769235.74285714295.16666666674.654.18235294123.75555555563.363157894732.66190476192.34545454552.0478260871.76666666671.51.24615384621.00370370370.77142857140.54827586210.33333333330.1258064516-0.075-0.2696969697-0.4588235294-0.6428571429-0.8222222222-0.9972972973-1.1684210526-1.3358974359-1.5

Sistema no linealxyxy194.583333333321.17.99090909094.14965986392.11.27.13333333333.77410468322.21.36.39230769233.44675488342.31.45.74285714293.15972222222.41.55.16666666672.90666666672.51.64.652.68244575942.61.74.18235294122.48285322362.71.83.75555555562.30442176872.81.93.36315789472.14427269122.923232.12.66190476191.86958029833.12.22.34545454551.75130208333.22.32.0478260871.64370982553.32.41.76666666671.54555940023.42.51.51.45578231293.52.61.24615384621.37345679013.62.71.00370370371.29778427083.72.80.77142857141.22807017543.82.90.54827586211.16370808683.930.33333333331.104166666743.10.12580645163.2-0.0753.3-0.26969696973.4-0.45882352943.5-0.64285714293.6-0.82222222223.7-0.99729729733.8-1.16842105263.9-1.33589743594-1.5

Convergencia Newton Raphson sis1.53.52.03602882312.84387510011.99870060913.00228856291.99999998392.999999413423

&APage &PxyconvergenciaiteracionesSistema de ecuaciones lineales por el mtodo de Newton Raphson

NewtonRaphson sistemaFunciones:u(x, y):x2 + xy -10 = 0u/x =2x + yu/y =xx=2v(x, y):y + 3xy2 - 57 = 0v/x =3y2v/y =1 + 6xyy=3iteracinxiyiuiviu/xu/yv/xv/yJacobianoex(%)ex*(%)ey(%)ey*(%)11.53.5-2.51.6256.51.536.7532.5156.12525.0016.6722.03602882312.8438751001-0.0643749587-4.75620849736.91593274622.036028823124.262876754635.7412700376197.78430344141.8026.335.2023.0731.99870060913.0022885629-0.00451989610.04957115016.9996897811.998700609127.041209845237.0040558757204.96962918260.061.870.085.2841.99999998392.9999994134-0.0000012861-0.00002213996.99999938111.999999983926.99998944136.9999926704204.99994734870.000.060.000.08523007227372050.000.000.000.00