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Convex conjugate

In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known as Legendre–Fenchel transformation, Fenchel transformation, or Fenchel conjugate (after Adrien-Marie Legendre and Werner Fenchel). The convex conjugate is widely used…

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Convex conjugate

Nodes48
Edges47
Triples22
Avg. degree1.96
Density0.041667
Components1

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Convex conjugate

Top relations

related to Biconjugate · 7
Convex conjugate → Fenchel, For, In, More, Moreau, The, The Fenchel
related to Fenchel's inequality · 6
Convex conjugate → Fenchel, Fenchel's, For, Furthermore, The, Young
related to Connection with expected shortfall (average value at risk) · 3
Convex conjugate → Let, See, Then
related to Examples · 3
Convex conjugate → For, Table, The
is a · 1
Convex conjugate → function f
related to Maximizing argument · 1
Convex conjugate → If
related to Properties · 1
Convex conjugate → The

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Important terminology

convex displaystyle conjugate function left right functions lower pdf legendre isbn infty inequality also proper archived leq fenchel dual duality

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Convex conjugateis afunction f0.90text
Convex conjugaterelated to BiconjugateThe0.60section
Convex conjugaterelated to BiconjugateFor0.60section
Convex conjugaterelated to BiconjugateThe Fenchel0.60section
Convex conjugaterelated to BiconjugateMore0.60section
Convex conjugaterelated to BiconjugateIn0.60section
Convex conjugaterelated to BiconjugateFenchel0.60section
Convex conjugaterelated to BiconjugateMoreau0.60section
Convex conjugaterelated to Connection with expected shortfall (average value at risk)See0.60section
Convex conjugaterelated to Connection with expected shortfall (average value at risk)Let0.60section
Convex conjugaterelated to Connection with expected shortfall (average value at risk)Then0.60section
Convex conjugaterelated to ExamplesFor0.60section

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