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检索条件"主题词=Semidefinite Programming"
2405 条 记 录,以下是91-100 订阅
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CERTIFYING OPTIMALITY OF BELL INEQUALITY VIOLATIONS: NONCOMMUTATIVE POLYNOMIAL OPTIMIZATION THROUGH semidefinite programming AND LOCAL OPTIMIZATION\ast
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SIAM JOURNAL ON OPTIMIZATION 2024年 第2期34卷 1341-1373页
作者: Hrga, Timotej Klep, Igor Povh, Janez Univ Ljubljana Fac Math & Phys Ljubljana Slovenia Inst Math Phys & Mech Ljubljana Slovenia Univ Ljubljana Fac Mech Engn Ljubljana Slovenia Rudolfovo Sci & Technol Ctr Novo Mesto Slovenia
Bell inequalities are pillars of quantum physics in that their violations imply that certain properties of quantum physics (e.g., entanglement) cannot be represented by any classical picture of physics. In this articl... 详细信息
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Weak notions of nondegeneracy in nonlinear semidefinite programming
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MATHEMATICAL programming 2024年 第1-2期205卷 1-32页
作者: Andreani, Roberto Haeser, Gabriel Mito, Leonardo M. Ramirez, Hector Univ Estadual Campinas Dept Appl Math Campinas Brazil Univ Sao Paulo Dept Appl Math Sao Paulo Brazil Univ Chile Dept Math Engn Santiago Chile Univ Chile Ctr Math Modeling CNRS IRL 2807 Santiago Chile
The constraint nondegeneracy condition is one of the most relevant and useful constraint qualifications in nonlinear semidefinite programming. It can be characterized in terms of any fixed orthonormal basis of the, le... 详细信息
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Beamformer Design for MIMO Interference Broadcast Channels With semidefinite programming
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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2018年 第17期66卷 4504-4515页
作者: Razavi, S. Morteza Univ Edinburgh Inst Digital Commun Sch Engn Edinburgh EH9 3JL Midlothian Scotland
We consider beamformer design for multiuser multiple-input multiple-output (MIMO) interference channels where each transmitter communicates to its intended receivers while sharing the same spectro-temporal resources w... 详细信息
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A proximal augmented method for semidefinite programming problems
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APPLIED NUMERICAL MATHEMATICS 2021年 169卷 321-333页
作者: Huang, Aiqun Huazhong Univ Sci & Technol Sch Math & Stat Wuhan 430074 Peoples R China Huazhong Univ Sci & Technol Hubei Key Lab Engn Modeling & Sci Comp Wuhan 430074 Peoples R China
A proximal augmented method for solving semidefinite programs is introduced. This method is based on the Augmented Lagrangian method. We study the theoretical properties and show the convergence of the new approach un... 详细信息
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Symmetric primal-dual path-following algorithms for semidefinite programming
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APPLIED NUMERICAL MATHEMATICS 1999年 第3期29卷 301-315页
作者: Sturm, JF Zhang, SZ Tinbergen Inst Rotterdam NL-3000 DR Rotterdam Netherlands Erasmus Univ NL-3000 DR Rotterdam Netherlands
We propose a framework for developing and analyzing primal-dual interior point algorithms for semidefinite programming. This framework is an extension of the v-space approach that was developed by Kojima et al. (1991)... 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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Certified Roundoff Error Bounds Using semidefinite programming
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ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 2017年 第4期43卷 1–31页
作者: Magron, Victor Constantinides, George Donaldson, Alastair CNRS Verimag St Martin Dheres France Imperial Coll Circuits & Syst South Kensington Campus London SW7 2AZ England Verimag Batiment ImagOff 2053 700 Ave Cent F-38401 St Martin Dheres France
Roundoff errors cannot be avoided when implementing numerical programs with finite precision. The ability to reason about rounding is especially important if one wants to explore a range of potential representations, ... 详细信息
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Interval Enclosures of Upper Bounds of Roundoff Errors Using semidefinite programming
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ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 2018年 第4期44卷 1–18页
作者: Magron, Victor CNRS Verimag 700 Ave Cent F-38401 St Martin Dheres France CNRS LIP6 PolSys Team 4 Pl Jussieu F-75252 Paris 05 France
A long-standing problem related to floating-point implementation of numerical programs is to provide efficient yet precise analysis of output errors. We present a framework to compute lower bounds on largest absolute ... 详细信息
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A STOCHASTIC SMOOTHING ALGORITHM FOR semidefinite programming
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SIAM JOURNAL ON OPTIMIZATION 2014年 第3期24卷 1138-1177页
作者: D'Aspremont, Alexandre El Karoui, Noureddine Ecole Normale Super CNRS Paris France Ecole Normale Super DI UMR 8548 F-75231 Paris France Univ Calif Berkeley Dept Stat Berkeley CA 94720 USA
We use rank one Gaussian perturbations to derive a smooth stochastic approximation of the maximum eigenvalue function. We then combine this smoothing result with an optimal smooth stochastic optimization algorithm to ... 详细信息
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WORST-CASE CONVERGENCE ANALYSIS OF INEXACT GRADIENT AND NEWTON METHODS THROUGH semidefinite programming PERFORMANCE ESTIMATION
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SIAM JOURNAL ON OPTIMIZATION 2020年 第3期30卷 2053-2082页
作者: De Klerk, Etienne Glineur, Francois Taylor, Adrien B. Tilburg Univ NL-5037 AB Tilburg Netherlands UCL CORE Louvain La Neuve Belgium ICTEAM Louvain La Neuve Belgium PSL Res Univ Ecole Normale Super INRIA Dept Informat ENSCNRS Paris France
We provide new tools for worst-case performance analysis of the gradient (or steepest descent) method of Cauchy for smooth strongly convex functions, and Newton's method for self-concordant functions, including th... 详细信息
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