# iteracion Xi Xs Xr f(Xi) f(Xr)

0 1 1.5 1.25 0.367879441 0.06336125

1 1.25 1.5 1.375 0.063361246 -0.06561414

2 1.25 1.375 1.3125 0.063361246 -0.00278737

3 1.25 1.3125 1.28125 0.063361246 0.02985381

4 1.28125 1.3125 1.296875 0.029853807 0.01342726

5 1.296875 1.3125 1.3046875 0.013427263 0.00529374

6 1.3046875 1.3125 1.30859375 0.005293741 0.00124667

1.30859375 1.3125 1.310546875 0.00124667 -0.00077197

,

Cambia los valores de xi, xs y obten un nuevo xr. Escribe tu funcion en f(xi) y calcula con tu nuevo xr y con tu xs, f(xr) y f(xs) respectivamente. Tambien puedes

calcular el error relativo

Bisection Method

f(Xs) f(Xi)*f(Xr) f(Xs)*f(Xr) Error

-0.18233495 0.0233093 -0.01155297

-0.18233495 -0.00415739 0.01196375 9.090909091

-0.06561414 -0.00017661 0.00018289 4.761904762

-0.00278737 0.00189157 -8.3214E-05 2.43902439

-0.00278737 0.00040085 -3.7427E-05 1.204819277

-0.00278737 7.108E-05 -1.4756E-05 0.598802395

-0.00278737 6.5996E-06 -3.4749E-06 0.298507463

-0.00278737 -9.624E-07 2.1518E-06 0.149031297

,

Cambia los valores de xi, xs y obten un nuevo xr. Escribe tu funcion en f(xi) y calcula con tu nuevo xr y con tu xs, f(xr) y f(xs) respectivamente. Tambien puedes

calcular el error relativo

Bisection Method

# iteracion Xi g(x) Error %

0 2 1.4421881

1 1.4421881 1.31243653 38.6781652

2 1.31243653 1.30971461 9.88631221

3 1.30971461 1.30980242 0.20782574

4 1.30980242 1.30979949 0.00670461

5 1.30979949 1.30979959 0.00022383

# iteracion Xi Xi+1 f(Xi) f'(Xi) %Error

1 1 1.26894142 0.36787944 -1.36787944

2 1.26894142 1.3091084 0.04294604 -1.0691875 21.1941558

3 1.3091084 1.30979939 0.00071444 -1.03393942 3.06827011

4 1.30979939 1.30979959 2.0371E-07 -1.03334989 0.05275506

5 1.30979959 1.30979959 1.6542E-14 -1.03334972 1.5051E-05

i Xi f(Xi) Error

-1 2 -0.5578119

0 1.5 -0.18233495 33.3333333

1 1.25719555 0.05556715 19.3131808

2 1.31390775 -0.00423799 4.31629993

3 1.30988894 -9.2329E-05 0.30680553

4 1.30979943 1.5649E-07 0.00683339

5 1.30979959 -5.7695E-12 1.1562E-05

METODO DE SECANTE

METODO DE PUNTO FIJO

METODO DE NEWTON RAPHSON

Se inicia en una iteracion i-1, suponemos 2 valores

iniciales, xi-1 y xi, en la casilla de f(xi) agregas la funcion

y vas cambiando el valor de x, por el hallado xi+1.

En el metodo de punto fijo, empieza con un valor de x

arbitrario, la funcion g(x) = x la evaluamos en el nuevo

valor que hallamos de xi. Halla tambien, el error

porcentual.

En el metodo de newton raphson, introduce un valor

arbitrario de xi, en f(xi) introduce la funcion orginal y en

f'(xi) introduce la derivada de la funcion anterior. El

valor de xi+1 se halla con la formula que esta guardada

en esa casilla. El valor de xi se cambia por el hallado

(xi+1). Halla el error tambien.

biseccion

#iteracion Xi Xs Xr f(Xi)

0 0.1 0.5 0.3 0.71873075

1 0.3 0.5 0.4 0.24881164

2 0.4 0.5 0.45 0.04932896

3 0.4 0.45 0.425 0.04932896

4 0.425 0.45 0.4375 0.00241493

5 0.425 0.4375 0.43125 0.00241493

6 0.425 0.43125 0.428125 0.00241493

7 0.425 0.428125 0.4265625 0.00241493

8 0.425 0.4265625 0.42578125 0.00241493

9 0.42578125 0.4265625 0.42617188 0.00096637

10 0.42617188 0.4265625 0.42636719 0.00024248

falsa posicion

iteraciones Xl Xu Xr F(Xl)

0 0.1 0.5 0.43788783 0.71873075

1 0.1 0.43788783 0.4281408 0.71873075

2 0.1 0.4281408 0.42659478 0.71873075

3 0.1 0.42659478 0.42634916 0.71873075

4 0.1 0.42634916 0.42631013 0.71873075

5 0.1 0.42631013 0.42630392 0.71873075

secante

i Xi f(Xi) Error

-1 0.1 0.71873075

0 0.3 0.24881164 66.6666667

1 0.40589552 0.03816651 26.0893534

2 0.42508258 0.00226176 4.5137269

3 0.42629124 2.1324E-05 0.28352872

4 0.42630274 1.1978E-08 0.00269853

5 0.42630275 6.3394E-14 1.5166E-06

f(Xi)*f(Xr)<0 f(Xs)*f(Xr)

Xs=Xr Xi=Xr

f(Xr) f(Xs) f(Xi)*f(Xr) f(Xs)*f(Xr) Error

0.24881164 -0.13212056 0.17882857 -0.03287313

0.04932896 -0.13212056 0.01227362 -0.00651737 25

-0.04343034 -0.13212056 -0.00214237 0.00573804 11.1111111

0.00241493 -0.04343034 0.00011913 -0.00010488 5.88235294

-0.02063798 -0.04343034 -4.9839E-05 0.00089631 2.85714286

-0.0091445 -0.02063798 -2.2083E-05 0.00018872 1.44927536

-0.00337308 -0.0091445 -8.1458E-06 3.0845E-05 0.72992701

-0.00048115 -0.00337308 -1.162E-06 1.623E-06 0.36630037

0.00096637 -0.00048115 2.3337E-06 -4.6497E-07 0.18348624

0.00024248 -0.00048115 2.3432E-07 -1.1667E-07 0.09165903

-0.00011937 -0.00048115 -2.8945E-08 5.7436E-08 0.04580852

F(Xl)*F(Xr)<0 F(Xu)*F(Xr)<0

F(Xu) F(Xr) Xu=Xr Xl=Xr Error

-0.13212056 -0.02134902 -0.0153442 0.00282064

-0.02134902 -0.00340231 -0.00244534 7.2636E-05 2.27659304

-0.00340231 -0.00054094 -0.00038879 1.8404E-06 0.36241094

-0.00054094 -8.5972E-05 -6.1791E-05 4.6505E-08 0.05760999

-8.5972E-05 -1.3663E-05 -9.8198E-06 1.1746E-09 0.00915576

-1.3663E-05 -2.1713E-06 -1.5606E-06 2.9666E-11 0.00145504