A note on the K-epigraph
Optimization and Control
2021-07-02 v1
Abstract
We study the question as to when the closed convex hull of a K-convex map equals its K-epigraph. In particular, we shed light onto the smallest cone K such that a given map has convex and closed K-epigraph, respectively. We apply our findings to several examples in matrix space as well as to convex composite functions.
Cite
@article{arxiv.2107.00117,
title = {A note on the K-epigraph},
author = {Armand Gissler and Tim Hoheisel},
journal= {arXiv preprint arXiv:2107.00117},
year = {2021}
}