# how to find the value of variable which is giving the minimum value of a function after iterations?

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summyia qamar on 17 Jan 2017
Edited: summyia qamar on 17 Jan 2017
Ihere is an example of my question
A={[1 0 0; 0 1 0] [1 1 0;0 1 0]};
B={[2 1 2;2 2 1] [2 2 2; 2 1 1]};
for i=1:numel(A)
for j=1:numel(B)
c=A{i}.*B{j};
sumc=sum(c(:));
total{i,j}=sumc;
end
end
minValue=min([total{:}])
after getting the minimum value from iterations, how can I know which A,B values have generated this result?

Star Strider on 17 Jan 2017
The ind2sub function and the second output from min will probably do what you want:
[minValue,idx] = min([total{:}]);
[row_min, col_min] = ind2sub(size(total),idx)
row_min =
1
col_min =
2
The min function returns only the first instance of the minimum, so if there are more than one (there is only one here), you would need to use the find function to discover the row and column indices of all of them.
summyia qamar on 17 Jan 2017
yes I got your point..Isn't there any way that we can get the whole matrix instead of its idx? because when we have large number of iterations like if A is cell of 64 matrices and b is 1806 then how can we find the values? for example in the given question. https://www.mathworks.com/matlabcentral/answers/320750-how-to-find-the-values-of-variables-which-give-minimum-value-of-a-function-after-iterations