Article ID: | iaor2014744 |
Volume: | 161 |
Issue: | 3 |
Start Page Number: | 828 |
End Page Number: | 836 |
Publication Date: | Jun 2014 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Zhu Jinghao, Zhao Shangrui, Liu Guohua |
Keywords: | global optimization, polynomial programs |
This paper presents a study on solutions to the global minimization of polynomials. The backward differential flow by the K–T equation with respect to the optimization problem is introduced to deal with a ball‐constrained optimization problem. The unconstrained optimization is reduced to a constrained optimization problem which can be solved by a backward differential flow. Some examples are illustrated with an algorithm for computing the backward flow.