Available at arxiv.
Authors
Mitsuhiro Nishijima (Tokyo Tech) and B. F. Lourenço (ISM)
Abstract
In this paper, we consider copositive cones over symmetric cones and show that they are never facially exposed when the underlying cone has dimension at least 2. We do so by explicitly exhibiting a non-exposed extreme ray. Our result extends the known fact that the cone of copositive matrices over the nonnegative orthant is not facially exposed in general.