特征函数与非凸对偶规划问题的存在性定理(英文)  

The Characteristic Function Existence Theorem for the Dual Nonconvex Nonlinear Programming Problems

作　　者：王长钰[1] 赵福安[1] 周惠山 

机构地区：[1]曲阜师范大学,山东曲阜273165 [2]乔治亚州立大学数学与计算机科学系

出　　处：《菏泽师专学报》1998年第2期1-13,共13页

基　　金：国家自然科学基金

摘　　要：主要研究非凸对偶规划问题最优解的存在性定理。通过引进一个新的概念—特征函数,证明了对偶目标函数的方向导数存在,并且是相应特征函数的极限,利用这一结论证明了对偶规划问题的最优判别原理与存在性定理。The existence of the dual optimal solution of nonconvex programming problem is studied. To get the existence convexity or generalized convexity are usually employed in the literature. This research does not lie on any convex-like assumption. The new concept-characteristic function-is introduced as the main tool of the theory. It is shown that the directional derivative of the dual objective function exists and can be represented as a limit of the associate characteristic function. As the main results of this paper, characteristic function, it is derived, using the characteristic function, the optimal criterion and existence theorem of the dual problems.

关 键 词：特征函数 对偶规划 非凸对偶规划 存在性定理 

分 类 号：O221[理学—运筹学与控制论]