Análisis numérico
Enviado por Sergio Conde • 7 de Octubre de 2019 • Apuntes • 305 Palabras (2 Páginas) • 80 Visitas
SERGIO BAUTISTA CONDE 1111660
ANGEL JEINNS LUNA 1112296
PRIMER PREVIO DE ANALISIS NUMERICOS INGENIERIA CIVIL. 23 DE SEPTIEMBRE DE 2015
- (50%). Dada f(x) = x4 – 2.16x3 - 2.05x2 + 0.24x + 8.5 encontrar todas las posibles raíces que se encuentran en dicha función polinomial utilizando el método numérico que estime conveniente. Construir la grafica y emita conceptos.
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ITERACION | Xn | F(Xn) | Xn+1 |
1 | 10 | 7645,9 |
|
2 | 1 | 5,53 | 0,99348592 |
3 | 0,99348592 | 5,57119142 | 1,87452378 |
4 | 1,87452378 | -0,13385283 | 1,8538527 |
5 | 1,8538527 | -0,05099909 | 1,841129 |
6 | 1,841129 | 0,00280427 | 1,84179216 |
7 | 1,84179216 | -5,1411E-05 | 1,84178023 |
8 | 1,84178023 | -4,9487E-08 | 1,84178021 |
9 | 1,84178021 | 8,7752E-13 | 1,84178021 |
10 | 1,84178021 | 0 | 1,84178021 |
11 | 1,84178021 | 0 | #¡DIV/0! |
ITERACION | Xn | F(Xn) | Xn+1 |
1 | 0 | 8,5 |
|
2 | 1 | 5,53 | 2,86195286 |
3 | 2,86195286 | 8,85068657 | -2,10074411 |
4 | -2,10074411 | 38,4496249 | 4,34590053 |
5 | 4,34590053 | 150,244512 | -4,31793915 |
6 | -4,31793915 | 490,756803 | 8,16865346 |
7 | 8,16865346 | 3148,80056 | -6,623349 |
8 | -6,623349 | 2469,05226 | -60,3523934 |
9 | -60,3523934 | 13734516,8 | -6,6136884 |
10 | -6,6136884 | 2455,37119 | -6,60407961 |
11 | -6,60407961 | 2441,81966 | -4,87269484 |
12 | -4,87269484 | 772,291695 | -4,07178936 |
13 | -4,07178936 | 394,231144 | -3,23662716 |
14 | -3,23662716 | 169,226569 | -2,60849934 |
15 | -2,60849934 | 78,5609733 | -2,06423188 |
16 | -2,06423188 | 36,4249325 | -1,5937343 |
17 | -1,5937343 | 18,1058966 | -1,12871089 |
18 | -1,12871089 | 10,3464827 | -0,50864386 |
19 | -0,50864386 | 8,19873422 | 1,85837665 |
20 | 1,85837665 | -0,06962072 | 1,838446 |
21 | 1,838446 | 0,01441454 | 1,8418647 |
22 | 1,8418647 | -0,00036342 | 1,84178063 |
23 | 1,84178063 | -1,7806E-06 | 1,84178021 |
24 | 1,84178021 | 2,2272E-10 | 1,84178021 |
25 | 1,84178021 | 0 | 1,84178021 |
ITERACION | Xn | F(Xn) | Xn+1 |
1 | 2,3 | -0,08912 |
|
2 | 1 | 5,53 | 2,27938182 |
3 | 2,27938182 | -0,19008563 | 2,23686636 |
4 | 2,23686636 | -0,36015996 | 2,32689975 |
5 | 2,32689975 | 0,06156305 | 2,31375669 |
6 | 2,31375669 | -0,01478517 | 2,3163019 |
7 | 2,3163019 | -0,00040971 | 2,31637444 |
8 | 2,31637444 | 2,8701E-06 | 2,31637393 |
9 | 2,31637393 | -5,5009E-10 | 2,31637393 |
10 | 2,31637393 | 0 | 2,31637393 |
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