Metodos numericos

Método de punto fijo
Con la formula:
x3+4x2-10=0
Con el punto 4

pn | x1 | Error absoluto | Error relativo |
4 | 3.74165739 | 0.25834261 | 0.06458565 |
3.74165739 | 3.63661548 | 0.10504191| 0.02807363 |
3.63661548 | 3.59302748 | 0.04358801 | 0.01198587 |
3.59302748 | 3.57478425 | 0.01824323 | 0.0050774 |
3.57478425 | 3.56712107 | 0.00766318 | 0.00214368 |
3.56712107 | 3.5638972| 0.00322388 | 0.00090378 |
3.5638972 | 3.56254005 | 0.00135715 | 0.0003808 |
3.56254005 | 3.56196858 | 0.00057147 | 0.00016041 |
3.56196858 | 3.56172791 | 0.00024066 | 6.7565E-05 |

Estemétodo es de bisección
Con la ecuación
fx=x3-x-1
Con los puntos (1,2)
iteraciones | a | B | p | f(a) | f(b) | f(p) |
1 | 1 | 2 | 1.5 | -5 | 14 | 2.375 |
2 | 1 | 1.5 | 1.25 | -5 | 2.375 |-1.796875 |
3 | 1.25 | 1.5 | 1.375 | -1.796875 | 2.375 | 0.16210938 |
4 | 1.25 | 1.375 | 1.3125 | -1.796875 | 0.16210938 | -0.84838867 |
5 | 1.3125 | 1.375 | 1.34375 | -0.84838867 | 0.16210938 |-0.35098267 |
6 | 1.34375 | 1.375 | 1.359375 | -0.35098267 | 0.16210938 | -0.09640884 |
7 | 1.359375 | 1.375 | 1.3671875 | -0.09640884 | 0.16210938 | 0.03235579 |
8 | 1.359375 | 1.3671875 |1.36328125 | -0.09640884 | 0.03235579 | -0.03214997 |
9 | 1.36328125 | 1.3671875 | 1.36523438 | -0.03214997 | 0.03235579 | 7.2025E-05 |
10 | 1.36328125 | 1.36523438 | 1.36425781 | -0.03214997 | 7.2025E-05| -0.01604669 |
11 | 1.36425781 | 1.36523438 | 1.36474609 | -0.01604669 | 7.2025E-05 | -0.00798926 |
12 | 1.36474609 | 1.36523438 | 1.36499023 | -0.00798926 | 7.2025E-05 | -0.0039591 |

Estemétodo de raphson
Con las ecuaciones
fx=x-cos(x)
f`X=1+sen(x)
Con los puntos Po=0

Pn | f(Pn) | f'(Pn) | (Pn+1) |
0 | -1 | 1 | 1 |
1 | 0.45969769 | 1.84147098 | 0.75036387 |
0.75036387 |0.01892307 | 1.68190495 | 0.73911289 |
0.73911289 | 4.6456E-05 | 1.67363254 | 0.73908513 |
0.73908513 | 2.8472E-10 | 1.67361203 | 0.73908513 |
0.73908513 | 0 | 1.67361203 | 0.73908513 |...