Non-facial exposedness of copositive cones over symmetric cones
Optimization and Control
2024-12-05 v2
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.
Cite
@article{arxiv.2402.12964,
title = {Non-facial exposedness of copositive cones over symmetric cones},
author = {Mitsuhiro Nishijima and Bruno F. Lourenço},
journal= {arXiv preprint arXiv:2402.12964},
year = {2024}
}