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检索条件"主题词=proximal point algorithm"
340 条 记 录,以下是171-180 订阅
排序:
proximal Bundle algorithms for Nonlinearly Constrained Convex Minimax Fractional Programs
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2018年 第1期179卷 212-239页
作者: Addoune, Smail Boufi, Karima Roubi, Ahmed Univ Bordj Bou Arreridj Fac MI Dept Math Bordj Bou Arreridj Algeria Univ Hassan 1 Fac Sci & Tech Lab MISI Settat Morocco
A generalized fractional programming problem is defined as the problem of minimizing a nonlinear function, defined as the maximum of several ratios of functions on a feasible domain. In this paper, we propose new meth... 详细信息
来源: 评论
Iterative approaches to solving convex minimization problems and fixed point problems in complete CAT(0) spaces
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NUMERICAL algorithmS 2018年 第3期77卷 727-740页
作者: Lerkchaiyaphum, Kritsada Phuengrattana, Withun Nakhon Pathom Rajabhat Univ Dept Math Fac Sci & Technol Nakhon Pathom 73000 Thailand Nakhon Pathom Rajabhat Univ Res Ctr Pure & Appl Math Inst Res & Dev Nakhon Pathom 73000 Thailand
In this paper, we propose a new modified proximal point algorithm for finding a common element of the set of common minimizers of a finite family of convex and lower semi-continuous functions and the set of common fix... 详细信息
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A proximal point Analysis of the Preconditioned Alternating Direction Method of Multipliers
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2017年 第3期173卷 878-907页
作者: Bredies, Kristian Sun, Hongpeng Karl Franzens Univ Graz Inst Math & Sci Comp Heinrichstr 36 A-8010 Graz Austria Renmin Univ China Inst Math Sci 59 Zhongguancun St Beijing Peoples R China
We study preconditioned algorithms of alternating direction method of multipliers type for nonsmooth optimization problems. The alternating direction method of multipliers is a popular first-order method for general c... 详细信息
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A note on the regularized proximal point algorithm
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JOURNAL OF GLOBAL OPTIMIZATION 2011年 第3期50卷 531-535页
作者: Wang, Fenghui Luoyang Normal Univ Dept Math Luoyang 471022 Peoples R China
Recently, Xu (J Glob Optim 36:115-125 (2006)) introduced a regularized proximal point algorithm for approximating a zero of a maximal monotone operator. In this note, we shall prove the strong convergence of this algo... 详细信息
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The prox-Tikhonov regularization method for the proximal point algorithm in Banach spaces
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JOURNAL OF GLOBAL OPTIMIZATION 2011年 第4期51卷 641-655页
作者: Sahu, D. R. Yao, J. C. Natl Sun Yat Sen Univ Dept Appl Math Kaohsiung 804 Taiwan Banaras Hindu Univ Dept Math Varanasi 221005 Uttar Pradesh India
It is known, by Rockafellar (SIAM J Control Optim 14:877-898, 1976), that the proximal point algorithm (PPA) converges weakly to a zero of a maximal monotone operator in a Hilbert space, but it fails to converge stron... 详细信息
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ON CONVERGENCE OF THE proximal point algorithm IN BANACH SPACES
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2011年 第11期139卷 4087-4095页
作者: Matsushita, Shin-ya Xu, Li Akita Prefectural Univ Dept Elect & Informat Syst Fac Syst Sci & Technol Yurihonjo City Akita 0150055 Japan
In this paper, we give a sufficient condition which guarantees that the sequence generated by the proximal point algorithm terminates after a finite number of iterations.
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Inexact Halpern-type proximal point algorithm
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JOURNAL OF GLOBAL OPTIMIZATION 2011年 第1期51卷 11-26页
作者: Boikanyo, O. A. Morosanu, G. Cent European Univ Dept Math & Applicat H-1051 Budapest Hungary
We present several strong convergence results for the modified, Halpern-type, proximal point algorithm x(n+1) = alpha(n)u + (1 - alpha(n)) J(beta nxn) + e(n) (n = 0, 1,...;u, x(0) is an element of H given, and J(beta ... 详细信息
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proximal point algorithms involving fixed points of nonexpansive mappings in CAT(0) spaces
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FIXED point THEORY AND APPLICATIONS 2015年 第1期2015卷 1-13页
作者: Cholamjiak, Prasit Abdou, Afrah A. N. Cho, Yeol Je Univ Phayao Sch Sci Phayao 56000 Thailand King Abdulaziz Univ Dept Math Jeddah 21589 Saudi Arabia Gyeongsang Natl Univ Dept Math Educ Jinju 660701 South Korea Gyeongsang Natl Univ RINS Jinju 660701 South Korea
In this paper, we introduce a new modified proximal point algorithm involving fixed point iterates of nonexpansive mappings in CAT(0) spaces and prove that the sequence generated by our iterative process converges to ... 详细信息
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A remark on the boundness and weak convergence of general proximal point algorithm
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POSITIVITY 2011年 第2期15卷 215-219页
作者: Huang, Zhenyu Nanjing Univ Dept Math Nanjing 210093 Peoples R China
This paper is to illustrate that the main proofs and results of the paper (Verma in Positivity 13, 771-782, 2009) are incorrect.
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Block matching sparsity regularization-based image reconstruction for incomplete projection data in computed tomography
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PHYSICS IN MEDICINE AND BIOLOGY 2018年 第3期63卷 035045-035045页
作者: Cai, Ailong Li, Lei Zheng, Zhizhong Zhang, Hanming Wang, Linyuan Hu, Guoen Yan, Bin Natl Digital Switching Syst Engn & Technol Res Ct Zhengzhou 450002 Henan Peoples R China
In medical imaging many conventional regularization methods, such as total variation or total generalized variation, impose strong prior assumptions which can only account for very limited classes of images. A more re... 详细信息
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