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Ellipsoid method

In mathematical optimization, the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates a sequence of ellipsoids whose volume uniformly decreases at every step, thus enclosing a minimizer of a convex function.

History, Performance in convex programs & Description

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Overview

History

Description

Performance in convex programs

Performance in linear programs

Variants

Related methods

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Map overview Semantic statistics

Ellipsoid method

Nodes37
Edges36
Triples56
Avg. degree1.95
Density0.054054
Components1

How this topic connects Entity context

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Ellipsoid method

Top relations

related to history · 12
Ellipsoid method → Arkadi Nemirovski, As, David, In, Judin, Khachiyan's, Leonid Khachiyan, Naum, Shor, The, This, Yudin
related to Performance in linear programs · 11
Ellipsoid method → ATy, Ax, He, Here, Khachiyan's, Leonid Khachiyan, Multiplying, Rz, Step, The, Therefore
related to Different ellipsoids · 9
Ellipsoid method → Erlikh, In, Inscribed, Khachian, Nemirovskii, Tarasov, There, This, Yudin
related to Theoretical run-time complexity guarantee · 8
Ellipsoid method → Consider, Data, Each, Euclidean, RAM, Rn, Size, The
related to Practical performance · 5
Ellipsoid method → BenTal, Even, However, Nemirovsky, The
is a · 3
Ellipsoid method → algorithm which finds an optimal solution in a number of steps that is polynomial in the input size, important theoretical technique in combinatorial optimization, iterative method for minimizing convex functions over convex sets
has method · 3
Ellipsoid method → However, Interior, The
related to Different cuts · 2
Ellipsoid method → In, The
related to Theoretical importance · 2
Ellipsoid method → In, The
related to Variants · 1
Ellipsoid method → The

Important terminology Word statistics

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Important terminology

ellipsoid method linear displaystyle problem convex number optimization algorithm step point problems feasible size programming oracle polynomial volume function data

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ellipsoid methodis aiterative method for minimizing convex functions over convex sets0.90text
Ellipsoid methodis aalgorithm which finds an optimal solution in a number of steps that is polynomial in the input size0.90text
Ellipsoid methodis aimportant theoretical technique in combinatorial optimization0.90text
Ellipsoid methodhas methodThe0.60section
Ellipsoid methodhas methodHowever0.60section
Ellipsoid methodhas methodInterior0.60section
Ellipsoid methodrelated to Different cutsIn0.60section
Ellipsoid methodrelated to Different cutsThe0.60section
Ellipsoid methodrelated to Different ellipsoidsThere0.60section
Ellipsoid methodrelated to Different ellipsoidsIn0.60section
Ellipsoid methodrelated to Different ellipsoidsThis0.60section
Ellipsoid methodrelated to Different ellipsoidsYudin0.60section

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