# Constrained optimization of a vector

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mahdi Izadi on 24 May 2022
Commented: Walter Roberson on 25 May 2022
Hi!
I am trying to optimize a vector. I want to find , where ( )=0, and .
f_1 and f-2 are two procedural functions, stored in m-files (not straight-forward functions).
How can I do it with a viable (time-effective) algorithm?
Thanks!

Walter Roberson on 24 May 2022
Use fmincon. Make the objective f1^2 and use a nonlinear equality constraint with f2.
Walter Roberson on 25 May 2022
It depends what the calculations do. In particular, are there analytic forms of the jacobian? Possibly a sparse form? fmincon needs to estimate the gradient of every variable against every other variable, and if you have hundreds of variables that can get slow.

Matt J on 24 May 2022
Edited: Matt J on 24 May 2022
You have two equations so, as long as numel(a)=2 and f1 and f2 are differentiable, you can use fsolve. If numel(a)>2 then you have more unknowns than equations and the problem is ill-posed.
mahdi Izadi on 25 May 2022
Dear Matt;
Thanks;
I believe I explained a bit unclear. The problem is somehow OK, as I think the solution proposed above adressed this problem.

R2022a

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