Certificates of convexity for basic semi-algebraic sets
Optimization and Control
2010-01-30 v2
Abstract
We provide two certificates of convexity for arbitrary basic semi-algebraic sets of . The first one is based on a necessary and sufficient condition whereas the second one is based on a sufficient (but simpler) condition only. Both certificates are obtained from any feasible solution of a related semidefinite program and so can be obtained numerically (however, up to machine precision).
Cite
@article{arxiv.0901.4497,
title = {Certificates of convexity for basic semi-algebraic sets},
author = {Jean B. Lasserre},
journal= {arXiv preprint arXiv:0901.4497},
year = {2010}
}
Comments
6 pages; To appear in Applied Mathematics Letters