带分片光滑约束函数优化问题的区域分割方法  

A set segmentation method for optimization problems with piecewise smooth constraint functions

作　　者：王柳婷 刘庆怀 商玉凤 刘傲多 WANG Liuting;LIU Qinghuai;SHANG Yufeng;LIU Aoduo(School of Mathematics and Statistics, Changchun University of Technology, Changchun 130012, China;School of Economics, Changchun University of Finance and Economics, Changchun 130122, China;Department of Basic Teaching, Changchun University of Architecture and Civil Engineering, Changchun 130607, China)

机构地区：[1]长春工业大学数学与统计学院,吉林长春130012 [2]长春财经学院经济学院,吉林长春130122 [3]长春建筑学院基础教学部,吉林长春130607

出　　处：《长春工业大学学报》2021年第6期530-535,共6页Journal of Changchun University of Technology

基　　金：吉林省自然科学基金面上项目(20101597)。

摘　　要：对一类带分片光滑约束的非凸优化问题给出了区域分割方法,并在一定条件下证明了可行域被分割后形成的子问题KKT解与原问题KKT解之间的关系,从而可以通过求子问题KKT解得到原问题KKT解。A set segmentation method is given for a class of nonconvex optimization problems with piecewise smooth constraints,and the relationship between the KKT solution of the subproblem formed after the feasible domain is partitioned and the KKT solution of the original problem is proved under certain conditions,so that the KKT solution of the original problem can be obtained by finding the KKT solution of the subproblem.

关 键 词：非凸优化 非光滑优化 区域分割方法 

分 类 号：O224[理学—运筹学与控制论]