Facial structure of copositive and completely positive cones over a second-order cone
Optimization and Control
2026-04-17 v2
Abstract
We classify the faces of copositive and completely positive cones over a second-order cone and investigate their dimension and exposedness properties. Then we compute two parameters related to chains of faces of both cones. At the end, we discuss some possible extensions of the results with a view toward analyzing the facial structure of general copositive and completely positive cones.
Keywords
Cite
@article{arxiv.2502.04006,
title = {Facial structure of copositive and completely positive cones over a second-order cone},
author = {Mitsuhiro Nishijima and Bruno F. Lourenço},
journal= {arXiv preprint arXiv:2502.04006},
year = {2026}
}