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优化和变分问题的邻近点方法概述

Brief Description of The Proximal Point Method in Optimization and Variational Problems

中文摘要英文摘要

邻近点方法是求解广义方程的重要方法。该方法广泛应用于求解优化问题以及变分不等式等问题,对实际生活和生产有着重要的作用。本文主要介绍邻近点方法的研究现状、邻近点方法的基本框架、重要的收敛性结论以及邻近点方法应用于几类常见问题的具体形式。

he proximal point method is an important approach for solving generalized equations. It is widely used in solving optimization problems and variational inequalities, and plays an important role in real life and production. This article mainly introduces the research status of the proximal point method, the basic framework of this method, important convergence conclusions and the specific forms of the proximal point method applied to several common problems.

陈纯荣、叶子诗

数学

邻近点方法精确与非精确形式优化问题变分不等式问题鞍点问题

Proximal point methodExact and inexact formsOptimization problemsVariational inequality problemsSaddle point problems

陈纯荣,叶子诗.优化和变分问题的邻近点方法概述[EB/OL].(2022-01-26)[2025-08-10].http://www.paper.edu.cn/releasepaper/content/202201-100.点此复制

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