Dimension in Polynomial Variational Inequalities

Autor:	Hieu, Vu Trung
Rok vydání:	2020
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.09435 Zobrazit plný text záznamu View this record from Arxiv