关于鞍点集的几何特征  

On the Geometric Characters of Set of Saddle Points

作　　者：陆学勇[1] 向淑文[1] 吉丽超[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2007年第4期331-334,共4页Journal of Guizhou University:Natural Sciences

摘　　要：鞍点在数学规划、极值问题和博弈论中具有重要的作用.定义在凸集上的函数若具有拟凸、拟凹及某些连续性,则其鞍点集呈现出一定的几何特征,深入的探讨了这一问题,并给出了二维及三维情形的一个直观性结果.Saddle points play an important role in mathematical programming, the problem of maximal or minimal value and game theory. The set of saddle points will possesses some geometric characters, if the function defined on a convex set has certain continuity. In this paper we study this problem deeply and give some intuitive results on two-dimensional and three-dimensional spaces.

关 键 词：鞍点(集) 拟凸(凹) 上(下)半连续 平面四边形 

分 类 号：O177.91[理学—数学]