MATLAB: Minimum of a function

minimaoptimization

Hello sir;
i am trying to find minimum of a function by putting more than one vectors in a single step to get a constant cost value.
 bk=magic(4)=[16     2     3    13
              5    11    10     8
              9     7     6    12
              4    14    15     1]
 function=bk1'*H1'*H1*bk1-2*yr'*H1*bk1;
where yr is a column vector, H1 is a square matrix and bk1 is a column of bk.
i want to put each vector of bk in above function and select the minimum value in a single command.
i tried this one but it doesn't works.
[cost_value, indx]=min(abs(bk(:,[1:end])'*H1'*H1*bk(:,[1:end])-2*yr'*H1*bk(:,[1:end])));
please help

Best Answer

What is bk1 and H?
Anyway, why not just assign it to a numerical array and use min:
f =bk1'*H1'*H1*bk1-2*yr'*H1*bk1
[minFValue, linearIndexAtMinFValue] = min(f(:));
or
[rowAtMin, colAtMin] = find(f == min(f(:)))
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