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Falsa Posición en Egipto

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Falsa Posición en Egipto

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Ecuaciones de 1er grado con falsa posición

Created by

Emmanuel García Manríquez
Emmanuel García Manríquez
Mexico

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Falsa Posición en Egipto
 

Falsa Posición en EgiptoOnline version

Ecuaciones de 1er grado con falsa posición

by Emmanuel García Manríquez
1

Es un método de primer grado y se aplica a ecuaciones lineales de una variable.

2

La fórmula para la nueva estimación es x3 = x2 - f(x2)*(x2 - x1)/(f(x2) - f(x1)).

3

Se obtiene una nueva aproximación x3 mediante interpolación lineal entre (x1,f(x1)) y (x2,f(x2)).

4

El método fue desarrollado y utilizado en Egipto antiguo para resolver problemas de ecuaciones.

5

Es equivalente a Newton-Raphson.

6

Es más rápido que la bisección en todos los casos.

7

La próxima aproximación siempre puede salir del intervalo [x1, x2].

8

Requiere evaluar la derivada f'(x) en cada iteración.

9

La falsa posición utiliza dos puntos x1 y x2 con f(x1) y f(x2) de signos opuestos.

10

Requiere que f sea cuadrática para funcionar.

 
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