原问题和三种对偶问题最优目标值的比较

The comparison on optimal objective values among the primal optimaization problem and its three dual problems

建立与带约束的非凸优化问题目标函数有关的几种共轭函数,研究与之关联的Lagrange对偶问题、Fenchel对偶问题和二者结合的Fenchel-Lagrange等3种共轭对偶问题,对这些对偶问题的最优目标值进行了比较.

This paper presents three kinds of conjugate functions which are relative to the function of a non - convex optimization problem with constraint condition. It deals with Lagrange objective conjugate dual, Fenchel conjugate dual and a combination of the above two, called the Fenchel - Lagrange conjugate dual problems. The comparison among the optimal objective values of primal optimization problem and its three conjugate dual problems are shown.