Programming a Recursive Function

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MiauMiau
MiauMiau 2013-3-5
Hi
I know in the meantime how to program simple recursive functions, but wondered how Newton's method could be programmed recursively.
Especially, I would like to store for n iterations the resulting values in an vector of length n.
So I would have (as a sketch) something as follows in mind:
function v = newton(n)
% the function
f(n) = x^2;
% the derivative of f
g(n) = 2*x;
x_0 = 1;
for n > 1
v(n) = newton(n-1) - f(newton(n))/g(newton(n))
for n == 1
newton(n) = x_0
end
Could you please help me to correct the code?
Thanks for your efforts

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