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on 12 Oct 2021
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p = [1/24 0 -0.5 0 1];
dp=polyder(p);
rt=roots(p);
f=@(q) polyval(p,q);
g=@(q) polyval(dp,q);
n=200;
s=0.5*linspace(-1,1,n);
[X,Y]=meshgrid(s,s);
Z=X+1i*Y;
it=zeros(n);
for m=1:numel(Z)
z = Z(m);
for k=1:99
z=z-f(z)/g(z);
if ~isempty(find(abs(rt-z)<1e-6))
it(m)=k;
break
end
end
end
imagesc(it)
axis square off
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