Get all vectors with possible values of each elements

Of interest is n*1 vector of parameters. And each element (parameter) has m possible values. So the vector of parameters has m^n possible cases.

Problem:

I have m*1 vector (possible value) for each of the n parameters. Any idea how to efficiently/quickly get the minimizer of a func F(vector of parameters) out of all m^n possible cases of vector of parameters.

I am thinking about getting a n*(m^n) matrix A, with each column being one possible case of the vector of parameters. And run a loop of i=1:m^n, and get an objective value inputting A(:,i). But I'm not even sure how to do that without running a lot of loops.

If you guys can shed some light, I really appreciate it. Thx so much.

Answer 1

[Star Strider]

There are a number of funcitons you can use to optimise your funciton. See the documentation on Nonlinear Optimization (link) for a list of them. There are even more options in the Global Optimization Toolbox (link).