Hi there!

I am working with a physical simulator that operates variables in complex numbers.

And there is a need to optimize the parameters of that function - to find optimal parameters using various criteria and constraints (both for the real part and for the imaginary).

Are there any free libraries or solvers that can handle this?

The problem is that the whole function is unknown - I know only some characteristics of that function - it's nonlinear and nonconvex, and it has a lot of local minima.

It's almost completely black-box for an estimator, and can't be formalized in equations to decompose it into real and imaginary parts.

Let's assume that it's a black-box function and parameters that can be passed as inputs - are complex numbers, and outputs are also in complex form.

Python realization is preferable.