Xn=0;%Xn+1, the iterates root
X=10;%Xn
a=0;%actual value
f=0;%Xn+1=f(Xn), the function of the iterates of the root, X = alpha
for i=1:1:100
    f=X.^(1/3);
    Xn = f;
    [i,Xn,f,a-Xn]
    X=Xn;
end