método de newton raphson
DESCRIPTION
rapsonTRANSCRIPT
7/18/2019 Método de Newton Raphson
http://slidepdf.com/reader/full/metodo-de-newton-raphson-56924b6ae99c4 1/6
1 1.5 2 2.5 3 3.5 4 4.5 5
-2
0
2
4
6
8
10
7/18/2019 Método de Newton Raphson
http://slidepdf.com/reader/full/metodo-de-newton-raphson-56924b6ae99c4 2/6
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
7/18/2019 Método de Newton Raphson
http://slidepdf.com/reader/full/metodo-de-newton-raphson-56924b6ae99c4 3/6
Convergencia Newton Raphson sis
Page 3
1 2 3 4 5
0
0.5
1
1.5
2
2.5
3
3.5
4
Sistema de ecuaciones lineales por el método de Newton Raphson
convergencia
i t e r a c i o n e s
7/18/2019 Método de Newton Raphson
http://slidepdf.com/reader/full/metodo-de-newton-raphson-56924b6ae99c4 4/6
!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
7/18/2019 Método de Newton Raphson
http://slidepdf.com/reader/full/metodo-de-newton-raphson-56924b6ae99c4 5/6
$ $+
1 ( 6$& &+
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/∂& +
v x v y e$#,' e
$#,' e
&#,' e
&#,'
7/18/2019 Método de Newton Raphson
http://slidepdf.com/reader/full/metodo-de-newton-raphson-56924b6ae99c4 6/6
2
3