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Is there any way to set demands on least square solutions?

I have an equation on the form Ax=b, which is solved for x as:

x=(A'*A)^-1*A'*b

I do know for a fact that all values in x should be positive, but the least square solution for my particular system contains a number of negative x-values.

Is there some way to find the least square solution with only positive coefficients?

Thanks in advance

Jocke