Método de Newton Raphson
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Transcript of Método de Newton Raphson
7/18/2019 Método de Newton Raphson
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1 1.5 2 2.5 3 3.5 4 4.5 5
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7/18/2019 Método de Newton Raphson
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x y x y
1 9 4.583333333 2
1.1 7.99090909 4.149659864 2.1
1.2 7.13333333 3.774104683 2.2
1.3 6.39230769 3.446754883 2.3
1.4 5.74285714 3.159722222 2.4
1.5 5.16666667 2.906666667 2.51.6 4.65 2.682445759 2.6
1.7 4.18235294 2.482853224 2.7
1.8 3.75555556 2.304421769 2.8
1.9 3.36315789 2.144272691 2.9
2 3 2 3
2.1 2.66190476 1.869580298 3.1
2.2 2.34545455 1.751302083 3.2
2.3 2.04782609 1.643709826 3.3
2.4 1.76666667 1.5455594 3.4
2.5 1.5 1.455782313 3.5
2.6 1.24615385 1.37345679 3.6
2.7 1.0037037 1.297784271 3.72.8 0.77142857 1.228070175 3.8
2.9 0.54827586 1.163708087 3.9
3 0.33333333 1.104166667 4
3.1 0.12580645
3.2 -0.075
3.3 -0.26969697
3.4 -0.45882353
3.5 -0.64285714
3.6 -0.82222222
3.7 -0.9972973
3.8 -1.16842105
3.9 -1.335897444 -1.5
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Convergencia Newton Raphson sis
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Sistema de ecuaciones lineales por el método de Newton Raphson
convergencia
i t e r a c i o n e s
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!nciones" !#$% &'" 2$ ( &
v#$% &'"
iteraci)n
1 1.5 3.5 -2.5 1.625 6.5 1.5
2 2.03602882 2.8438751 -0.064374959 -4.7562084973 6.915932746 2.036028823
3 1.99870061 3.002288563 -0.004519896 0.0495711501 6.999689781 1.998700609
4 1.99999998 2.999999413 -1.2861*-006 -2.21399*-005 6.9999993811 1.999999984
5 2 3 0 2.238210*-012 7 2
$2 ( $& -10 + 0 ∂!/∂$ +
& ( 3$&2 - 57 + 0 ∂v/∂$ + 3&2
xi
yi
ui
vi u x u y
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$ $+
1 ( 6$& &+
Jacobiano
36.75 32.5 156.125 25.00 16.67
24.26287675 35.74127004 197.7843034 1.80 26.33 5.20 23.07
27.04120985 37.00405588 204.9696292 0.06 1.87 0.08 5.28
26.99998944 36.99999267 204.9999473 0.00 0.06 0.00 0.08
27 37 205 0.00 0.00 0.00 0.00
∂!/∂& +
∂v/∂& +
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