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Strong duality

Strong duality is a condition in mathematical optimization in which the primal optimal objective and the dual optimal objective are equal. By definition, strong duality holds if and only if the duality gap is equal to 0. This is opposed to weak duality (the primal problem has optimal value greater than or equal to the dual problem, in other words the…

Sufficient conditions, Strong duality and computational complexity & Overview

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Sufficient conditions

Perturbation functionBiconjugateSemi-continuousFenchel–Moreau theoremLinear optimization problem
7 related topics

Strong duality and computational complexity

Lagrangian duality
1 related topics

Overview

Mathematical optimizationDualDuality gapWeak duality
4 related topics

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Sufficient conditions

Strong duality and computational complexity

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Strong duality

Nodes16
Edges15
Triples7
Avg. degree1.88
Density0.125
Components1

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Strong duality

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related to Strong duality and computational complexity · 3
Strong duality → It, Lagrangian, Under
related to Sufficient conditions · 3
Strong duality → Each, Fenchel, Moreau
is a · 1
Strong duality → condition in mathematical optimization in which the primal optimal objective and the dual optimal objective are equal

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duality strong dual equal primal gap optimization problem optimal conditions condition holds sufficient also convex linear polynomial-time mathematical objective definition

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SubjectPredicateObjectConfidenceSrc
Strong dualityis acondition in mathematical optimization in which the primal optimal objective and the dual optimal objective are equal0.90text
Strong dualityrelated to Strong duality and computational complexityUnder0.60section
Strong dualityrelated to Strong duality and computational complexityLagrangian0.60section
Strong dualityrelated to Strong duality and computational complexityIt0.60section
Strong dualityrelated to Sufficient conditionsEach0.60section
Strong dualityrelated to Sufficient conditionsFenchel0.60section
Strong dualityrelated to Sufficient conditionsMoreau0.60section

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