摘要
在非线性凸规划中,凸共轭函数理论对建立对偶理论起着重要作用.本文试图对这一凸共轭函数概念加以推广,建立一类广义的共轭函数理论-(H,(?))共轭函数理论.在凸分析中,一个函数的凸共轭是通过一簇线性函数确定的.事实上。
In the nonlinear convex proglamming,convex conjugate function,theory plays an import-ant role in developing its duality principle.This paper extends the concept of convex conjugatefunction,and develops a generalized conjugate function theory——(H,Ω) conjugate functiontheory.This theory provides a methodological basis for studying the duality principle of gen-eral nonlinear nonconvex programming,and mnkes it possible for convex duality to developinto nonconvex duality.
出处
《系统科学与数学》
CSCD
北大核心
1990年第1期71-77,共7页
Journal of Systems Science and Mathematical Sciences
