正常凸函数的U-Lagrange函数  

The U-Lagrangian of a Proper Convex Function

作　　者：王炜[1] 陆媛[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2006年第4期385-387,共3页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：将凸函数的UV-分解理论推广到正常凸函数,借助于凸分析中的凸集、凸锥以及回收锥的相关性质,得到对应于正常凸函数的空间分解和U-Lagrange函数及其性质,并将其应用于一般凸规划问题.For minimizing a proper convex function, this paper compares the difference of subdifferential of function f,when the initial point was taken in the relative borders and the relative interior of the effective domain. Furthermore,the uv-decomposition theory about proper convex function is studied in this paper and the sufficient condition is given,which guarantees the existence of the u-Lagrangian defined in the effective domain of the proper convex function f.

关 键 词：非光滑优化 UV-分解 u-Lagrange函数 回收锥 

分 类 号：O224[理学—运筹学与控制论]