reducing the domain of solutions

[oameye]

Is there a way to reduce the domain of solutions found with HomotopyContinuations.

More specifically, I am working with a coupled polynomials where the solutions represent the steady state of a coupled ODEs. For one of the variables I know that the solution is unphysical if it is negative. Is there a way to add this constrained to the solver? If yes, would it be faster to find the solutions compared finding the solution over a $\mathbb{C}^n$ domain and filter the solutions afterwards?

[PBrdng]

Hi, no there is no such function.

It would be great to have this. But even theoretically, we dont know how do implement such a function. The problem is that we do not understand from a theoretical point of view the endpoint of the homotopy paths. We can't predict, which path will end at what type of solution.

[oameye]

I see. Thanks for the info!