Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes

Frédéric Bihan, Pierre-Jean Spaenlehauer

Consider a regular triangulation of the convex-hull $P$ of a set $\mathcal{A}$ of $n$ points in ${\mathbb{R}}^d$, and a real matrix $C$ of size $d\times n$. A version of Viro's method…