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检索条件"主题词=Semidefinite Programming"
2472 条 记 录,以下是2411-2420 订阅
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An exact duality theory for semidefinite programming and its complexity implications
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MATHEMATICAL programming 1997年 第2期77卷 129-162页
作者: Ramana, MV Center for Applied Optimization 303 Weil Hall Department of Industrial and Systems Engineering University of Florida Gainesville USA
In this paper, an exact dual is derived for semidefinite programming (SDP), for which strong duality properties hold without any regularity assumptions. Its main features are: (i) The new dual is an explicit semidefin... 详细信息
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Exploiting sparsity in primal-dual interior-point methods for semidefinite programming
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MATHEMATICAL programming 1997年 第1-3期79卷 235-253页
作者: Fujisawa, K Kojima, M Nakata, K Department of Mathematical and Computing Sciences Tokyo Institute of Technology Tokyo Japan
The Helmberg-Rendl-Vanderbei-Wolkowicz/Kojima-Shindoh-Hara/Monteiro and Nesterov-Todd search directions have been used in many primal-dual interior-point methods for semidefinite programs. This paper proposes an effic... 详细信息
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Initialization in semidefinite programming via a self-dual skew-symmetric embedding
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OPERATIONS RESEARCH LETTERS 1997年 第5期20卷 213-221页
作者: deKlerk, E Roos, C Terlaky, T Faculty of Technical Mathematics and Informatics Delft University of Technology P.O. Box 5031 2600 GA Delft Netherlands
The formulation of interior point algorithms for semidefinite programming has become an active research area, following the success of the methods for large-scale linear programming. Many interior point methods for li... 详细信息
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A note on the existence of the Alizadeh-Haeberly-Overton direction for semidefinite programming
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MATHEMATICAL programming 1997年 第3期78卷 393-396页
作者: Monteiro, RDC Zanjacomo, PR School of Industrial and Systems Engineering Georgia Institute of Technology Atlanta USA
This note establishes a new sufficient condition for the existence and uniqueness of the Alizadeh-Haeberly-Overton direction for semidefinite programming. (C) 1997 The Mathematical programming Society, Inc. Published ... 详细信息
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Robust truss topology design via semidefinite programming
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SIAM JOURNAL ON OPTIMIZATION 1997年 第4期7卷 991-1016页
作者: Ben-Tal, A Nemirovski, A Technion Israel Inst Technol Fac Ind Engn & Management IL-32000 Haifa Israel
We present and motivate a new model of the truss topology design problem, where the rigidity of the resulting truss with respect both to given loading scenarios and small "occasional" loads is optimized. It ... 详细信息
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Primal-dual path-following algorithms for semidefinite programming
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SIAM JOURNAL ON OPTIMIZATION 1997年 第3期7卷 663-678页
作者: Monteiro, RDC Georgia Inst Technol Sch Ind & Syst Engn Atlanta GA 30332 USA
This paper deals with a class of primal-dual interior-point algorithms for semidefinite programming (SDP) which was recently introduced by Kojima, Shindoh, and Kara [SIAM J. Optim., 7 (1997), pp. 86-125]. These author... 详细信息
来源: 评论
semidefinite programming
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SIAM REVIEW 1996年 第1期38卷 49-95页
作者: Vandenberghe, L Boyd, S STANFORD UNIV DEPT ELECT ENGNINFORMAT SYST LABSTANFORDCA 94305
In semidefinite programming, one minimizes a linear function subject to the constraint that an affine combination of symmetric matrices is positive semidefinite. Such a constraint is nonlinear and nonsmooth, but conve... 详细信息
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Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities
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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 1999年 第3期14卷 309-330页
作者: Toh, KC Natl Univ Singapore Dept Math Singapore 119260 Singapore
Primal-dual path-following algorithms are considered for determinant maximization problem (maxdet-problem). These algorithms apply Newton's method to a primal-dual central path equation similar to that in semidefi... 详细信息
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Strong duality for a trust-region type relaxation of the quadratic assignment problem
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LINEAR ALGEBRA AND ITS APPLICATIONS 1999年 第1-3期301卷 121-136页
作者: Anstreicher, K Chen, X Wolkowicz, H Yuan, YX Univ Waterloo Dept Combinator & Optimizat Waterloo ON N2L 3G1 Canada Univ Iowa Dept Management Sci Iowa City IA 52242 USA MIT Ctr Operat Res Cambridge MA 02139 USA Chinese Acad Sci LSEC Inst Computat Math & Sci Engn Comp Beijing 100080 Peoples R China
Lagrangian duality underlies many efficient algorithms for convex minimization problems. A key ingredient is strong duality. Lagrangian relaxation also provides lower bounds for non-convex problems, where the quality ... 详细信息
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Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
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OPTIMIZATION METHODS & SOFTWARE 1999年 第1-4期11-2卷 625-653页
作者: Sturm, JF McMaster Univ Commun Res Lab Hamilton ON Canada
SeDuMi is an add-on for MATLAB, which lets you solve optimization problems with linear, quadratic and semidefiniteness constraints. It is possible to have complex valued data and variables in SeDuMi. Moreover, large s... 详细信息
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