Hi all, I have the following problem: I want to find the argmax (not necessarily unique) of a function f(alpha,beta). Under some assumptions on f it is possible to obtain the argmax set following this procedure:
1) compute F=max f(alpha,beta) wrto alpha and beta
2) for each alpha compute H(alpha)=max f(alpha,beta) with respect to beta
3) pick alpha s.t. H(alpha)=F;
4) pick corresponding beta from step 2)
I'm trying to perform this procedure in Matlab; my question is: assuming that the maximization problems have been correctly solved, how much the result given by Matlab is precise? i.e. in step 3) I should pick alpha s.t. H(alpha)~= F+...? or I should round the numbers to which digit?
I have attached F and H(alpha).
Thank you very much!