吉林大学学报（理学版）Issue(1)：33-36,4.DOI:10.13413/j.cnki.jdxblxb.2015.01.07
复合凸优化问题全对偶性的等价刻画
Some Characterizations of Total Duality for a Composed Convex Optimization
摘要
Abstract
We first introduced the dual schemes for a composed convex optimization problem.Then, using the properties of subdifferential, we introduced a new Moreau-Rockafellar formula for a composed convex function.And using the Moreau-Rockafellar formula,we obtained some necessary and sufficient conditions which characterize the stable total duality for the composed convex optimization problem.关键词
复合凸优化问题/Moreau-Rockafellar 法则/稳定全对偶/全对偶Key words
composed convex optimization problem/Moreau-Rockafellar formula/stable total duality/total duality分类
数理科学引用本文复制引用
孙祥凯..复合凸优化问题全对偶性的等价刻画[J].吉林大学学报（理学版）,2015,(1):33-36,4.基金项目
国家自然科学基金(批准号:11301570)、中国博士后科学基金(批准号:2013M540697)和重庆市基础与前沿研究计划项目(批准号:cstc2013jcyjA00003) （批准号:11301570）
