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Perturbation function

In mathematical optimization, the perturbation function is any function which relates to primal and dual problems. The name comes from the fact that any such function defines a perturbation of the initial problem. In many cases this takes the form of shifting the constraints.

Applications, Use in duality & Definition

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Overview

Definition

Use in duality

Examples

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Perturbation function

Nodes27
Edges26
Triples15
Avg. degree1.93
Density0.074074
Components1

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Perturbation function

Top relations

related to Fenchel duality · 7
Perturbation function → Assume, Fenchel, In, Let, Then, Tx, Tx-y
related to Lagrangian · 5
Perturbation function → Given, In, Lagrangian, Let, That
related to Definition · 3
Perturbation function → Given, If, Then

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Important terminology

function displaystyle perturbation duality primal given mathbb dual problem lagrangian cup infty constraints convex pairs times conjugate definition fenchel spaces

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Perturbation functionrelated to DefinitionGiven0.60section
Perturbation functionrelated to DefinitionThen0.60section
Perturbation functionrelated to DefinitionIf0.60section
Perturbation functionrelated to Fenchel dualityLet0.60section
Perturbation functionrelated to Fenchel dualityAssume0.60section
Perturbation functionrelated to Fenchel dualityTx0.60section
Perturbation functionrelated to Fenchel dualityThen0.60section
Perturbation functionrelated to Fenchel dualityIn0.60section
Perturbation functionrelated to Fenchel dualityTx-y0.60section
Perturbation functionrelated to Fenchel dualityFenchel0.60section
Perturbation functionrelated to LagrangianLet0.60section
Perturbation functionrelated to LagrangianGiven0.60section

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