A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization
Optimization and Control
2023-02-09 v2
Abstract
In this note, we present an elementary proof for a well-known second-order sufficient optimality condition in nonlinear semidefinite optimization which does not rely on the enhanced theory of second-order tangents. Our approach builds on an explicit elementary computation of the so-called second subderivative of the indicator function associated with the semidefinite cone which recovers the best curvature term known in the literature.
Cite
@article{arxiv.2209.12209,
title = {A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization},
author = {Patrick Mehlitz},
journal= {arXiv preprint arXiv:2209.12209},
year = {2023}
}
Comments
12 pages