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检索条件"主题词=Semidefinite Programming"
2471 条 记 录,以下是2451-2460 订阅
排序:
Reconstruction with noisy data: An approach via eigenvalue optimization
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SIAM JOURNAL ON OPTIMIZATION 1998年 第1期8卷 82-104页
作者: Noll, D Univ Toulouse 3 Lab Approximat & Optimisat F-31062 Toulouse France
We present a nonlinear inverse filtering approach to problems such as power spectrum estimation of stationary time series or deconvolution of a blurred image. The technique is based on eigenvalue optimization and a nu... 详细信息
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Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs
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MATHEMATICAL programming 1998年 第2期80卷 129-160页
作者: Kojima, M Shida, M Shindoh, S Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 152 Japan Kanagawa Univ Dept Math Kanagawa Ku Yokohama Kanagawa 221 Japan Natl Def Acad Dept Math & Phys Yokosuka Kanagawa 239 Japan
An example of an SDP (semidefinite program) exhibits a substantial difficulty in proving the superlinear convergence of a direct extension of the Mizuno-Todd-Ye type predictor-corrector primal-dual interior-point meth... 详细信息
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A semidefinite bound for mixing rates of Markov chains†
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Random Structures & Algorithms 1998年 第4期11卷
作者: Nabil Kahale AT&T Labs–Research Florham Park NJ 07932
We study general geometric techniques for bounding the spectral gap of a reversible Markov chain. We show that the best bound obtainable using these techniques can be computed in polynomial time via semidefinite progr... 详细信息
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SOME GEOMETRIC RESULTS IN semidefinite programming
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JOURNAL OF GLOBAL OPTIMIZATION 1995年 第1期7卷 33-50页
作者: RAMANA, M GOLDMAN, AJ RUTGERS STATE UNIV CTR OPERAT RESNEW BRUNSWICKNJ 08903 JOHNS HOPKINS UNIV DEPT MATH SCIBALTIMOREMD 21218
The purpose of this paper is to develop certain geometric results concerning the feasible regions of semidefinite Programs, called here Spectrahedra. We first develop a characterization for the faces of spectrahedra. ... 详细信息
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INTERIOR-POINT METHODS IN semidefinite programming WITH APPLICATIONS TO COMBINATORIAL OPTIMIZATION
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SIAM JOURNAL ON OPTIMIZATION 1995年 第1期5卷 13-51页
作者: ALIZADEH, F INT COMP SCI INST BERKELEYCA 94704
This paper studies the semidefinite programming SDP problem, i.e., the optimization problem of a linear function of a symmetric matrix subject to linear equality constraints and the additional condition that the matri... 详细信息
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The projective method for solving linear matrix inequalities
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MATHEMATICAL programming 1997年 第2期77卷 163-190页
作者: Gahinet, P Nemirovski, A TECHNION ISRAEL INST TECHNOL FAC IND ENGN & MANAGEMENT IL-32000 TECHNION HAIFA ISRAEL INST NATL RECH INFORMAT & AUTOMAT F-78153 LE CHESNAY FRANCE
Numerous problems in control and systems theory can be formulated in terms of linear matrix inequalities (LMI). Since solving an LMI amounts to a convex optimization problem, such formulations are known to be numerica... 详细信息
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A semidefinite framework for trust region subproblems with applications to large scale minimization
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MATHEMATICAL programming 1997年 第2期77卷 273-299页
作者: Rendl, F Wolkowicz, H UNIV WATERLOO DEPT COMBINATOR & OPTIMIZAT WATERLOO ON N2L 3G1 CANADA
Primal-dual pairs of semidefinite programs provide a general framework for the theory and algorithms for the trust region subproblem (TRS), This latter problem consists in minimizing a general quadratic function subje... 详细信息
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Measure concentration in optimization
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MATHEMATICAL programming 1997年 第1-3期79卷 33-53页
作者: Barvinok, A Department of Mathematics University of Michigan Ann Arbor USA
We discuss some consequences of the measure concentration phenomenon for optimization and computational problems. Topics include average case analysis in optimization, efficient approximate counting, computation of mi... 详细信息
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First and second order analysis of nonlinear semidefinite programs
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MATHEMATICAL programming 1997年 第2期77卷 301-320页
作者: Shapiro, A School of Industrial and Systems Engineering Georgia Institute of Technology Atlanta USA
In this paper we study nonlinear semidefinite programming problems. Convexity, duality and first-order optimality conditions for such problems are presented. A second-order analysis is also given. Second-order necessa... 详细信息
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Robust solutions to least-squares problems with uncertain data
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1997年 第4期18卷 1035-1064页
作者: ElGhaoui, L Lebret, H Ecole Nationale Superieure de Techniques Avancees 32 Bd. Victor Paris Cedex France
We consider least-squares problems where the coefficient matrices A, b are unknown but bounded. We minimize the worst-case residual error using (convex) second-order cone programming, yielding an algorithm with comple... 详细信息
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