A Frank-Wolfe type theorem for nondegenerate polynomial programs

• 成果类型: Article
• 署名作者: Si Tiep Dinh; Huy Vui Ha; Tien Son Pham
• 署名单位: Vietnam Academy of Science & Technology (VAST)
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-013-0732-2
• 发表日期: 2014
• 页码: 519-538
• 关键词: global optimization; convex; REPRESENTATIONS; squares; sums

摘要

In this paper, we study the existence of optimal solutions to a constrained polynomial optimization problem. More precisely, let and be convenient polynomial functions, and let Under the assumption that the map is non-degenerate at infinity, we show that if is bounded from below on then attains its infimum on.