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Semidefinite programming

Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified function that the user wants to minimize or maximize) over the intersection of the cone of positive semidefinite matrices with an affine space, i.e., a spectrahedron.

Examples, Motivation and definition & Algorithms for solving SDPs

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Overview

Motivation and definition

Relations to other optimization problems

Duality theory

Examples

Run-time complexity

Algorithms for solving SDPs

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Semidefinite programming

Nodes65
Edges64
Triples33
Avg. degree1.97
Density0.030769
Components1

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Semidefinite programming

Top relations

related to References · 22
Semidefinite programming → Amsterdam, April, Aspects, CWI, Franz Rendl, Freund, Integer Programming, Interior Point Algorithms, Introduction, ISBN, Klerk, Kluwer Academic Publishers, Laurent, Lieven Vandenberghe, March, Report PNA-R0210, Robert, SDP, SDP-Introduction, Selected Applications
has application · 4
Semidefinite programming → It, LMIs, SDPs, Semidefinite
related to Initial motivation · 4
Semidefinite programming → In, LP, SDP, Specifically
related to External links · 2
Semidefinite programming → Links, László Lovász
is a · 1
Semidefinite programming → relatively new field of optimization which is of growing interest for several reasons

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Important terminology

displaystyle sdp semidefinite problem programming sdps optimization matrix linear problems algorithms method matrices program used approximate dual variables vectors constraints

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Semidefinite programmingis arelatively new field of optimization which is of growing interest for several reasons0.90text
Semidefinite programminghas applicationSemidefinite0.60section
Semidefinite programminghas applicationSDPs0.60section
Semidefinite programminghas applicationLMIs0.60section
Semidefinite programminghas applicationIt0.60section
Semidefinite programmingrelated to External linksLinks0.60section
Semidefinite programmingrelated to External linksLászló Lovász0.60section
Semidefinite programmingrelated to Initial motivationIn0.60section
Semidefinite programmingrelated to Initial motivationLP0.60section
Semidefinite programmingrelated to Initial motivationSDP0.60section
Semidefinite programmingrelated to Initial motivationSpecifically0.60section
Semidefinite programmingrelated to ReferencesLieven Vandenberghe0.60section

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    Min side: 3
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