Dimension in Polynomial Variational Inequalities
Optimization and Control
2020-01-28 v1
Abstract
The aim of the paper is twofold. Firstly, by using the constant rank level set theorem from differential geometry, we establish sharp upper bounds for the dimensions of the solution sets of polynomial variational inequalities under mild conditions. Secondly, a classification of polynomial variational inequalities based on dimensions of their solution sets is introduced and investigated. Several illustrative examples are provided.
Keywords
Cite
@article{arxiv.2001.09435,
title = {Dimension in Polynomial Variational Inequalities},
author = {Vu Trung Hieu},
journal= {arXiv preprint arXiv:2001.09435},
year = {2020}
}
Comments
12 pages