Low-Complexity Relaxations and Convex Hulls of Disjunctions on the Positive Semidefinite Cone and General Regular Cones

In this paper we analyze general two-term disjunctions on a regular cone $\K$ and derive a general form for a family of convex inequalities which are valid for the resulting nonconvex sets. Under mild technical assumptions, these inequalities collectively describe the closed convex hulls of these disjunctions, and if additional conditions are satisfied, a single … Read more