:ά֮ţٵ

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

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

k:m*nľ,ʾյ
x:m*nľ,ʾոƽֵ
y:m*nľ,ʾոƽֵ

ԭ:

1ţٵзֵ

2ţٵ,һʽ f(x) ÿƽ,ÿĵ(x,y)µ
    z.real = x
    z.imag = y
    k = 1
    ʱµ,f(z)'ʾf(z)ĵ
    {
       z = z - f(z)/f(z)'
       k = k+1
    }
    x = z.real
    y = z.imag

:

f="(x+x^2+3*x^3-5)/(2*x+3*x^2-4*x^3)-5*x+6";
[a,x0,y0]=FractalNewton(f,-40,40,-40,40,400,400,100,1e-8);
x={MeshGrid2<\MeshGrid2>}(1,400,400,400);
y=x';
{Cloud<\Cloud>}(x,y,a);

//ִ5ɵõµķͼ

{<http://img2.ph.126.net/Ht_63PNFhsYouayKXE0fuA==/6630529005002257799.png>}