典型文献
Extrapolated Smoothing Descent Algorithm for Constrained Nonconvex and Nonsmooth Composite Problems
文献摘要：
In this paper,the authors propose a novel smoothing descent type algorithm with extrapolation for solving a class of constrained nonsmooth and nonconvex problems,where the nonconvex term is possibly nonsmooth.Their algorithm adopts the proximal gradient algorithm with extrapolation and a safe-guarding policy to minimize the smoothed objective function for better practical and theoretical performance.Moreover,the algo-rithm uses a easily checking rule to update the smoothing parameter to ensure that any accumulation point of the generated sequence is an(affine-scaled)Clarke stationary point of the original nonsmooth and nonconvex problem.Their experimental results indicate the effectiveness of the proposed algorithm.
文献关键词：
中图分类号：
作者姓名：
Yunmei CHEN;Hongcheng LIU;Weina WANG
作者机构：
Department of Mathematics,University of Florida,Gainesville 118105,USA;Industrial and Systems Engineering,University of Florida,Gainesville 118105,USA;Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China
文献出处：
引用格式：
[1]Yunmei CHEN;Hongcheng LIU;Weina WANG-.Extrapolated Smoothing Descent Algorithm for Constrained Nonconvex and Nonsmooth Composite Problems)[J].数学年刊B辑（英文版）,2022(06):1049-1070
A类：
Extrapolated
B类：
Smoothing,Descent,Algorithm,Constrained,Nonconvex,Nonsmooth,Composite,Problems,In,this,paper,authors,novel,smoothing,descent,type,algorithm,extrapolation,solving,class,constrained,nonsmooth,nonconvex,problems,where,term,possibly,Their,adopts,proximal,gradient,safe,guarding,policy,minimize,smoothed,objective,function,better,practical,theoretical,performance,Moreover,uses,easily,checking,rule,update,parameter,ensure,that,any,accumulation,point,generated,sequence,affine,scaled,Clarke,stationary,original,experimental,results,indicate,effectiveness,proposed
AB值：
0.675826
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