MATLAB: Speed up fminbnd using vectorization

fminbndoptimizationvectorization

I am trying to optimize this piece of code. I am using the function fminbnd on a vector, splitting the task on its single entries using a loop.
Would it be possible to speed it up vectorizing the process?
        for i = 1:A
            for ii= 1:B
                for iii = 1:C
                    fun = @(x) (x * variable(i,ii,iii))^2 ;
                    [arg_min(i,ii,iii), min_(i,ii,iii)] = fminbnd(fun,0,2);
                end
            end
        end
Thanks for the attention.
Sincerely
Luca

Best Answer

In your example, the solution is always x=0, so a trivial vectorized solution would be
arg_min=zeros(A,B,C);
min_ = arg_min;
More generally, no, vectorization will not help in a situation like this. You could consider parallelizing the loop using PARFOR.
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