:ά֮˹ٷɭ

ʽ:
[k,x,y]=FractalSteffensen(f,x0,x1,y0,y1,m,n,Sum,Error)
[k,x,y]=FractalSteffensen(f,x0,x1,y0,y1,m,n,Sum)
[k,x,y]=FractalSteffensen(f,x0,x1,y0,y1,m,n)
[k,x,y]=FractalSteffensen(f,x0,x1,y0,y1,m)
[k,x,y]=FractalSteffensen(f,x0,x1,y0)
[k,x,y]=FractalSteffensen(f,x0,x1)
[k,x,y]=FractalSteffensen(f,x0)
[k,x,y]=FractalSteffensen(f)

f:ַĺʽ,ıΪx
x0:ʼֵ,ĬΪ0
x1:ֵ,ĬΪ10
y0:ʼֵ,Ĭx0һ
y1:ֵ,Ĭx1һ
m:,Ĭ400
n:,Ĭmһ
Sum:˹ٷɭ,ĬΪ100
Error:˹ٷɭƲ,Ĭ1E-8

k:m*nľ,ʾյ
x:m*nľ,ʾոƽֵ
y:m*nľ,ʾոƽֵ

ԭ:

1˹ٷɭзֵ

2˹ٷɭ,һʽ f(x) ÿƽ,ÿĵ(x,y)µ
    z.real = x
    z.imag = y
    k = 1
    ʱµ
    {
       z1=f(z)
       z2=f(z1)
       z=z-(z1-z)^2/(z2-2*z1+z)
       k = k+1
    }
    x = z.real
    y = z.imag

:

f="x^3-5";
[a,x0,y0]=FractalSteffensen(f,-40,40,-40,40,400,400,100,1e-8);
x=MeshGrid2(1,400,400,400);
y=x';
Cloud(x,y,a);

//ִ5ɵõµķͼ

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