biseccion metodo numerico

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CV00845 METODOS NUMERICOS EJEMPLO METODO DE BISECCION Encontrar el valor de la raiz entre 0 y 1 de la siguiente funcion: It 1 0 1 0.5 1 0.106531 0.106531 2 0.5 1 0.75 0.106531 -0.27763 -0.02958 33.333% 3 0.5 0.75 0.625 0.106531 -0.08974 -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 -0.0415 -0.0003 5.263% 6 0.5625 0.59375 0.578125 0.007283 -0.01718 -0.00013 2.703% 7 0.5625 0.578125 0.570313 0.007283 -0.00496 -3.6E-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 -0.00191 -2.2E-06 0.344% 10 0.566406 0.568359 0.567383 0.001155 -0.00038 -4.3E-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 14 0.000% 5.000% 10.000% 15.000% 20.000% 25.000% 30.000% 35.000% Error relativo aproximado No de iteraciones Error rel. aprox.

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metodo numerico de bisseccion, programa para solucionar el metodo

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Sheet1CV00845METODOS NUMERICOSEJEMPLO METODO DE BISECCIONEncontrar el valor de la raiz entre 0 y 1 de la siguiente funcion:f(x) = e-x-xItxlxuxrf(xl)f(xr)f(xl)*f(xr)abs(ea)1010.510.10653065970.106530659720.510.750.1065306597-0.2776334473-0.029576474333.333%30.50.750.6250.1065306597-0.0897385715-0.009559909220.000%40.50.6250.56250.10653065970.00728282470.000775844111.111%50.56250.6250.593750.0072828247-0.0414975498-0.00030221945.263%60.56250.593750.5781250.0072828247-0.0171758392-0.00012508862.703%70.56250.5781250.57031250.0072828247-0.0049637604-0.00003615021.370%80.56250.57031250.566406250.00728282470.0011552020.00000841310.690%90.566406250.57031250.5683593750.001155202-0.0019053596-0.00000220110.344%100.566406250.5683593750.56738281250.001155202-0.0003753492-0.00000043360.172%110.566406250.56738281250.56689453120.0011552020.00038985880.00000045040.086%120.56689453120.56738281250.56713867190.00038985880.00000723790.00000000280.043%

Sheet110.33333333330.20.11111111110.05263157890.0270270270.01369863010.00689655170.00343642610.00172117040.00086132640.0004304778

No de iteracionesError rel. aprox.Error relativo aproximado

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