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Slater's condition

In mathematics, Slater's condition (or Slater condition) is a sufficient condition for strong duality to hold for a convex optimization problem, named after Morton L. Slater. Informally, Slater's condition states that the feasible region must have an interior point (see technical details below).

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Application to convex optimization

Optimization problemConvex functions
2 related topics

Formulation

Relative interiorAffine
2 related topics

Overview

MathematicsSufficient conditionStrong dualityConvex optimization problemFeasible region
9 related topics

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Formulation

Application to convex optimization

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Slater's condition

Nodes17
Edges16
Triples6
Avg. degree1.88
Density0.117647
Components1

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Slater's condition

Top relations

related to Application to convex optimization · 3
Slater's condition → Consider, Slater's, This
related to Generalized Inequalities · 2
Slater's condition → Given, Then Slater's
is a · 1
Slater's condition → specific example of a constraint qualification

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Important terminology

condition slater's duality convex displaystyle slater problem exists strong holds optimization ldots functions states interior see feasible relint operatorname inequalities

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SubjectPredicateObjectConfidenceSrc
Slater's conditionis aspecific example of a constraint qualification0.90text
Slater's conditionrelated to Application to convex optimizationConsider0.60section
Slater's conditionrelated to Application to convex optimizationThis0.60section
Slater's conditionrelated to Application to convex optimizationSlater's0.60section
Slater's conditionrelated to Generalized InequalitiesGiven0.60section
Slater's conditionrelated to Generalized InequalitiesThen Slater's0.60section

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