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检索条件"主题词=Nonconvex optimization problems"
19 条 记 录,以下是1-10 订阅
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Convergence Analysis of the Generalized Splitting Methods for a Class of nonconvex optimization problems
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JOURNAL OF optimization THEORY AND APPLICATIONS 2019年 第2期183卷 535-565页
作者: Li, Min Wu, Zhongming Nanjing Univ Sch Management & Engn Nanjing 210093 Jiangsu Peoples R China Southeast Univ Sch Econ & Management Nanjing 210096 Jiangsu Peoples R China
In this paper, we propose generalized splitting methods for solving a class of nonconvex optimization problems. The new methods are extended from the classic Douglas-Rachford and Peaceman-Rachford splitting methods. T... 详细信息
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Peaceman-Rachford splitting for a class of nonconvex optimization problems
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COMPUTATIONAL optimization AND APPLICATIONS 2017年 第2期68卷 407-436页
作者: Li, Guoyin Liu, Tianxiang Pong, Ting Kei Univ New South Wales Dept Appl Math Sydney NSW 2052 Australia Hong Kong Polytech Univ Dept Appl Math Hong Kong Hong Kong Peoples R China
We study the applicability of the Peaceman-Rachford (PR) splitting method for solving nonconvex optimization problems. When applied to minimizing the sum of a strongly convex Lipschitz differentiable function and a pr... 详细信息
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Regularized Nesterov's accelerated damped BFGS method for stochastic optimization
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2025年 467卷
作者: Suppalap, Siwakon Makmuang, Dawrawee Damminsed, Vipavee Wangkeeree, Rabian Naresuan Univ Fac Sci Dept Math Phitsanulok 65000 Thailand Naresuan Univ Res Ctr Acad Excellence Math Phitsanulok 65000 Thailand
A regularization term is introduced into the approximate Hessian update in the stochastic Broyden-Fletcher-Goldfarb-Shanno (BFGS) method for convex stochastic optimization problems to help avoid near-singularity issue... 详细信息
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Primal-Dual Trust-Region Methods for Nonlinear Programming
Primal-Dual Trust-Region Methods for Nonlinear Programming
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作者: Huang, Yesheng University of California San Diego
学位级别:Ph.D., Doctor of Philosophy
The goal of this dissertation is to investigate the formulation and analysis of a trust-region interior-point method for solving nonconvex optimization problems with a mixture of equality and inequality constraints. T... 详细信息
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Minimal energy configurations of bilayer plates as a polynomial optimization problem
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2023年 231卷
作者: Mohan, Preetham Yip, Nung Kwan Yu, Thomas Univ Michigan Dept Math Ann Arbor MI USA Purdue Univ Dept Math W Lafayette IN 47907 USA Drexel Univ Dept Math Philadelphia PA USA
We develop a discretization method for solving the minimal energy configuration of bilayer plates based on a mathematical model developed in Schmidt (2007), Bartels et al. (2017). Our discretization method employs C1-... 详细信息
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A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems
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CALCOLO 2020年 第4期57卷 35-35页
作者: Yuan, Gonglin Wang, Zhan Li, Pengyuan Guangxi Univ Coll Math & Informat Sci Nanning Peoples R China
The Quasi-Newton method is one of the most effective methods using the first derivative for solving all unconstrained optimization problems. The Broyden family method plays an important role among the quasi-Newton alg... 详细信息
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A parameterized Douglas-Rachford splitting algorithm for nonconvex optimization
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APPLIED MATHEMATICS AND COMPUTATION 2021年 410卷 126425-126425页
作者: Bian, Fengmiao Zhang, Xiaoqun Shanghai Jiao Tong Univ Sch Math Sci Shanghai 200240 Peoples R China Shanghai Jiao Tong Univ Inst Nat Sci Shanghai 200240 Peoples R China
In this paper, we study a parameterized Douglas-Rachford splitting method in Wang-Wang (2019)[5] for a class of nonconvex optimization problem. A new merit function is constructed to establish the convergence of the w... 详细信息
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OpEn: Code Generation for Embedded nonconvex optimization  21st
OpEn: Code Generation for Embedded Nonconvex Optimization
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21st IFAC World Congress on Automatic Control - Meeting Societal Challenges
作者: Sopasakis, Pantelis Fresk, Emil Patrinos, Panagiotis Queens Univ Belfast Sch Elect Elect Engn & Comp Sci EEECS Ashby BldgStranmillis Rd Belfast BT9 5AG Antrim North Ireland Queens Univ Belfast Ctr Intelligent & Autonomous Mfg Syst I AMS Ashby BldgStranmillis Rd Belfast BT9 5AG Antrim North Ireland WideFind AB Aurorum 1C S-97775 Lulea Sweden Katholieke Univ Leuven Dept Elect Engn ESAT STADIUS Ctr Dynam Syst Signal Proc & Data Analyt Kasteelpk Arenberg 10 B-3001 Leuven Belgium Katholieke Univ Leuven Optimizat Engn OPTEC Kasteelpk Arenberg 10 B-3001 Leuven Belgium
We present optimization Engine (OpEn): an open-source code generation framework for real-time embedded nonconvex optimization, which implements a novel numerical method. OpEn combines the proximal averaged Newton-type... 详细信息
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A regularized alternating direction method of multipliers for a class of nonconvex problems
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JOURNAL OF INEQUALITIES AND APPLICATIONS 2019年 第1期2019卷 1-16页
作者: Jian, Jin Bao Zhang, Ye Chao, Mian Tao Guangxi Univ Coll Math & Informat Sci Nanning Peoples R China Guangxi Univ Nationalities Coll Sci Nanning Peoples R China
In this paper, we propose a regularized alternating direction method of multipliers (RADMM) for a class of nonconvex optimization problems. The algorithm does not require the regular term to be strictly convex. Firstl... 详细信息
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OpEn: Code Generation for Embedded nonconvex optimization *
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IFAC-PapersOnLine 2020年 第2期53卷 6548-6554页
作者: Pantelis Sopasakis Emil Fresk Panagiotis Patrinos Queen’s University Belfast School of Electronics Electrical Engineering and Computer Science (EEECS) and Centre for Intelligent and Autonomous Manufacturing Systems (i-AMS) Ashby Building Stranmillis Road BT9 5AG Belfast Northern Ireland WideFind AB Aurorum 1C 977 75 Luleå Sweden KU Leuven Department of Electrical Engineering (ESAT) STADIUS Center for Dynamical Systems Signal Processing and Data Analytics & Optimization in Engineering (OPTEC) Kasteelpark Arenberg 10 3001 Leuven Belgium
We present optimization Engine (OpEn): an open-source code generation framework for real-time embedded nonconvex optimization, which implements a novel numerical method. OpEn combines the proximal averaged Newton-type... 详细信息
来源: 评论