南京理工大学学报（自然科学版）2025，Vol.49Issue(2)：133-145,13.DOI:10.14177/j.cnki.32-1397n.2025.49.02.001
求解复合非凸非光滑优化问题的分裂算法综述
Review on splitting algorithms for solving composite nonconvex nonsmooth optimization problems
摘要
Abstract
Solving composite nonconvex and nonsmooth optimization problems has important theoretical significance and practical value.This paper introduces six common splitting algorithms for solving composite nonconvex and nonsmooth optimization problems and summarizes their corresponding convergence properties.Furthermore,to accelerate the convergence speed of these splitting algorithms,we present four inertial splitting algorithms and common variants,including line search techniques,inexact computations,and variable metric techniques.Additionally,we review and analyze the convergence properties of these algorithms.关键词
复合非凸非光滑/分裂算法/收敛性分析/加速技巧Key words
composite nonconvex nonsmooth/splitting algorithms/convergence analysis/acceleration techniques分类
力学引用本文复制引用
王坛兴,蔡邢菊..求解复合非凸非光滑优化问题的分裂算法综述[J].南京理工大学学报（自然科学版）,2025,49(2):133-145,13.基金项目
国家自然科学基金(12131004 （）
12471290) （）
