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標題:
解方程的二分法 matlab 程序
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作者:
shouce
時間:
2015-6-4 09:25
標題:
解方程的二分法 matlab 程序
解方程的二分法 matlab 程序 （ x^3-3*x^2+6*x-1=0）
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% Bisection.m
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function[k,x,f_value]=Bisection(f,a,b,eps1,eps2,N)
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fprintf('k ,a ,b ,x, f\n')
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for k=1:N
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x=(a+b)/2;
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f_value=f(x);
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fprintf( '%3d, %10.9f, %10.9f, %10.9f,%10.9f,\n'...
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,k ,a ,b ,x, f_value)
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if abs(f_value)< eps1||0.5*(b-a)<eps2
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return
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else
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if f(x)*f(a)<0
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b=x;
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else
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a=x;
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end
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if k== N
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warning ('算法超出最大迭代數!')
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end
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end
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% examlpe7.m
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a=0; b=1;
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eps1=1e-4;eps2=1e-4;
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N=300;
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f=
@
(x) (x^3-3*x^2+6*x-1);
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Hfun=@Bisection;
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[k,x,f_value]= feval(Hfun, f,a,b,eps1,eps2,N);
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運行結果
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>> examlpe7
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k ,a ,b ,x, f
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1, 0.000000000, 1.000000000, 0.500000000,1.375000000,
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2, 0.000000000, 0.500000000, 0.250000000,0.328125000,
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3, 0.000000000, 0.250000000, 0.125000000,-0.294921875,
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4, 0.125000000, 0.250000000, 0.187500000,0.026123047,
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5, 0.125000000, 0.187500000, 0.156250000,-0.131927490,
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6, 0.156250000, 0.187500000, 0.171875000,-0.052295685,
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7, 0.171875000, 0.187500000, 0.179687500,-0.012936115,
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8, 0.179687500, 0.187500000, 0.183593750,0.006630838,
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9, 0.179687500, 0.183593750, 0.181640625,-0.003143273,
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10, 0.181640625, 0.183593750, 0.182617188,0.001746121,
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11, 0.181640625, 0.182617188, 0.182128906,-0.000697991,
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12, 0.182128906, 0.182617188, 0.182373047,0.000524211,
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13, 0.182128906, 0.182373047, 0.182250977,-0.000086854,
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