同济大学学报（自然科学版）2011，Vol.39Issue(9)：1373-1376,4.DOI:10.3969/j.issn.0253-374x.2011.09.022
Canonical对偶理论在一类多项式全局优化中的应用
Application of Canonical Duality Theory to Global Optimization with Polynomials
摘要
Abstract
A class of global optimization problem with polynomial is investigated with canonical duality theory. The unconstrained polynomial optimization problem is transformed into box constrained global optimization. The canonical dual function is defied for a solution to the original global optimization with polynomial problem by solving the dual problem. In addition, the dual problem proves to be a concave optimization. Finally, an example about binary six-order polynomial global optimization is illustrated.关键词
Canonical对偶理论/全局优化/高阶多元多项式Key words
Canonical duality theory/global optimization/high-order multivariate polynomials分类
数理科学引用本文复制引用
朱经浩,谭素娥..Canonical对偶理论在一类多项式全局优化中的应用[J].同济大学学报（自然科学版）,2011,39(9):1373-1376,4.基金项目
国家自然科学基金(10671145) （10671145）
