When is the inverse of an invertible convex function itself convex?
Classical Analysis and ODEs
2023-09-04 v1
Abstract
We provide a sufficient condition for an invertible (locally strongly) convex vector-valued function on to have a (locally strongly) convex inverse. We show under suitable conditions that if the gradient of each component of the inverse has negative entries, then this inverse is (locally strongly) convex if the original is.
Keywords
Cite
@article{arxiv.2309.00450,
title = {When is the inverse of an invertible convex function itself convex?},
author = {Robert Planqué},
journal= {arXiv preprint arXiv:2309.00450},
year = {2023}
}