Finding the function corresponds to the minimum residual

I am trying to find the optimum function by minimising the residual. Need to find the function corresponds to the minimum residual.

I am using the Matlab code similar to the one below. Is there any other better, more efficient way to find the optimum function 'f'?

Thanks in advance.

for i = 1: length(alphaarray) 
    alpha = alphaarray(i);
    [f] = fine(K1,K2,Mmeas,alpha);
    res(i) = norm (K2*f - Mmeas); 
end 

idx = find(res == min(res));
Xidx = alphaarray(idx);
alpha = Xidx;

[f] = fine(K1,K2,Mmeas,alpha);

Answer 1

[Torsten]

resmin = Inf;
fmin = [];
for i = 1: length(alphaarray) 
    alpha = alphaarray(i);
    f = fine(K1,K2,Mmeas,alpha);
    res = norm (K2*f - Mmeas); 
    if res < resmin
        resmin = res;
        alphamin = alpha;
        fmin = f;
    end
end 

[Studentskp]

Thanks very much.