biseccion
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Transcript of biseccion
CV00845 METODOS NUMERICOS
EJEMPLO METODO DE BISECCION
Encontrar el valor de la raiz entre 0 y 1 de la siguiente funcion:
It1 0 1 0.5 1 0.106531 0.1065312 0.5 1 0.75 0.106531 -0.277633 -0.029576 33.333%3 0.5 0.75 0.625 0.106531 -0.089739 -0.00956 20.000%4 0.5 0.625 0.5625 0.106531 0.007283 0.000776 11.111%5 0.5625 0.625 0.59375 0.007283 -0.041498 -0.000302 5.263%6 0.5625 0.59375 0.578125 0.007283 -0.017176 -0.000125 2.703%7 0.5625 0.578125 0.570313 0.007283 -0.004964 -3.62E-05 1.370%8 0.5625 0.570313 0.566406 0.007283 0.001155 8.41E-06 0.690%9 0.566406 0.570313 0.568359 0.001155 -0.001905 -2.2E-06 0.344%
10 0.566406 0.568359 0.567383 0.001155 -0.000375 -4.34E-07 0.172%11 0.566406 0.567383 0.566895 0.001155 0.00039 4.5E-07 0.086%12 0.566895 0.567383 0.567139 0.00039 7.24E-06 2.82E-09 0.043%
f(x) = e-x-x
xl xu xr f(xl) f(xr) f(xl)*f(xr) abs(ea)
0 2 4 6 8 10 12 140.000%
5.000%
10.000%
15.000%
20.000%
25.000%
30.000%
35.000%
Error relativo aproximado
No de iteraciones
Err
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