MATLAB: How to iterate the Newton method so that I get an array of values instead of just the last number

newton methodwhile loop

I have my code, and I get the right value at the end, but I would like all the values that were outputed using this code:
Test case:
f=@(x) x^2 -2;
df=@(x) 2*x;
[R,E] = myNewton(f, df, 1, 1e-5)
my code:
function [R,E] = myNewton(f, df, x0, tol)
while abs(f(x0))>tol
    B= x0-f(x0)/df(x0);
    F= f(B);
    x0=B;
    R=B;
    E=F;
end
end

Best Answer

function R = yourNewton(f, df, x0, tol)
    R = [];
    ff = f(x0);
    while abs(ff) > tol
        B = x0 - ff/df(x0);
        ff = f(B);
        x0=B;
        R=[R;B,ff];
    end
end
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