Combinatorics and preservation of conically stable polynomials

Giulia Codenotti, Stephan Gardoll, Thorsten Theobald

Given a closed, convex cone $K\subseteq {\mathbb{R}}^n$, a multivariate polynomial $f\in \mathbb{C}[\mathbf{z}]$ is called $K$-stable if the imaginary parts of its roots are not conta…