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检索条件"主题词=proximal point algorithm"
340 条 记 录,以下是301-310 订阅
排序:
Bregman monotone optimization algorithms
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SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2003年 第2期42卷 596-636页
作者: Bauschke, HH Borwein, JM Combettes, PL Univ Guelph Dept Math & Stat Guelph ON N1G 2W1 Canada Simon Fraser Univ Ctr Expt & Construct Math Burnaby BC V5A 1S6 Canada Univ Paris 06 Lab Jacques Louis Lions F-75005 Paris France
A broad class of optimization algorithms based on Bregman distances in Banach spaces is unified around the notion of Bregman monotonicity. A systematic investigation of this notion leads to a simplified analysis of nu... 详细信息
来源: 评论
Solving monotone inclusions with linear multi-step methods
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MATHEMATICAL PROGRAMMING 2003年 第3期96卷 469-487页
作者: Pennanen, T Svaiter, BF Helsinki Sch Econ Dept Management Sci Helsinki 00101 Finland Inst Matematica Pura & Aplicada BR-22460320 Rio De Janeiro Brazil
In this paper anew class of proximal-like algorithms for solving monotone inclusions of the form T(x) There Exists 0 is derived. It is obtained by applying linear multi-step methods (LMM) of numerical integration in o... 详细信息
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Convergence of a splitting inertial proximal method for monotone operators
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2003年 第2期155卷 447-454页
作者: Moudafi, A Oliny, M Univ Antilles Guyane DSI GRIMAAG Schoelcher 97200 Martinique France
A forward-backward inertial procedure for solving the problem of finding a zero of the sum of two maximal monotone operators is proposed and its convergence is established under a cocoercivity condition with respect t... 详细信息
来源: 评论
Strong convergence of a proximal-type algorithm in a Banach space
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SIAM JOURNAL ON OPTIMIZATION 2003年 第3期13卷 938-945页
作者: Kamimura, SJ Takahashi, W Hitotsubashi Univ Grad Sch Int Corp STrategy Chiyoda Ku Tokyo 1018439 Japan Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 1528552 Japan
In this paper, we study strong convergence of the proximal point algorithm. It is known that the proximal point algorithm converges weakly to a solution of a maximal monotone operator, but it fails to converge strongl... 详细信息
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The proximal point algorithm with genuine superlinear convergence for the monotone complementarity problem
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SIAM JOURNAL ON OPTIMIZATION 2000年 第2期11卷 364-379页
作者: Yamashita, N Fukushima, M Kyoto Univ Grad Sch Informat Dept Appl Math & Phys Kyoto 6068501 Japan
In this paper, we consider a proximal point algorithm ( PPA) for solving monotone nonlinear complementarity problems (NCP). PPA generates a sequence by solving subproblems that are regularizations of the original prob... 详细信息
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Convergence of prox-regularization methods for generalized fractional programming
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RAIRO-OPERATIONS RESEARCH 2002年 第1期36卷 73-94页
作者: Roubi, A Fac Sci & Tech Dept Math & Informat Settat Morocco
We analyze the convergence of the prox-regularization algorithms introduced in [1], to solve generalized fractional programs, without assuming that the optimal solutions set of the considered problem is nonempty, and ... 详细信息
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A unified framework for some inexact proximal point algorithms
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 2001年 第7-8期22卷 1013-1035页
作者: Solodov, MV Svaiter, BF Inst Matematica Pura & Aplicada BR-22460320 Rio De Janeiro Brazil
We present a unified framework for the design and convergence analysis of a class of algorithms based on approximate solution of proximal point subproblems. Our development further enhances the constructive approximat... 详细信息
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Decision Support for Location Problems in Town Planning
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International Transactions in Operational Research 2002年 第3期9卷 261-278页
作者: Patz, Renate Spitzner, Jan Tammer, Christiane University of Applied Science Department of Technology Transfer Merseburg D-06217 Germany Department of Mathematics Martin-Luther University Germany
Urban development and town planning need an adequate decision-making process. European cities, in particular, are compact. Urban elements and functions are in a constant state of change. Moreover, the large number of ... 详细信息
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A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces
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MATHEMATICS OF OPERATIONS RESEARCH 2001年 第2期26卷 248-264页
作者: Bauschke, HH Combettes, PL Okanagan Univ Coll Dept Math & Stat Kelowna BC V1V 1V7 Canada Univ Paris 06 Anal Numer Lab F-75005 Paris France
We consider a wide class of iterative methods arising in numerical mathematics and optimization that are known to converge only weakly. Exploiting an idea originally proposed by Haugazeau, we present a simple modifica... 详细信息
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Weak and strong convergence of approximating fixed points and applications
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2001年 第7期47卷 4981-4993页
作者: Takahashi, W Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 1528552 Japan
A discussion on weak and strong approximating fixed points was presented. The nonlinear ergodic theorems of Baillon's type were analyzed. Weak and strong convergence theorems of Mann's type and Halpern's t... 详细信息
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