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Pseudoconvex function

In convex analysis and the calculus of variations, both branches of mathematics, a pseudoconvex function is a function that behaves like a convex function with respect to finding its local minima, but need not actually be convex. Informally, a differentiable function is pseudoconvex if it is increasing in any direction where it has a positive directional…

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Generalization to nondifferentiable functions

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Pseudoconvex function

Nodes30
Edges29
Triples12
Avg. degree1.93
Density0.066667
Components1

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Pseudoconvex function

Top relations

related to Relation to other types of "convexity" · 6
Pseudoconvex function → Every, For, Similarly, Then, This, To
related to Sufficient optimality condition · 5
Pseudoconvex function → Fermat's, For, Note, Pseudoconvexity, That
is a · 1
Pseudoconvex function → function that behaves like a convex function with respect to finding its local minima

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Important terminology

function pseudoconvex displaystyle convex derivative differentiable also quasiconvex example functions pseudoconvexity true local given minimum point direction positive directional mathematics

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SubjectPredicateObjectConfidenceSrc
Pseudoconvex functionis afunction that behaves like a convex function with respect to finding its local minima0.90text
Pseudoconvex functionrelated to Relation to other types of "convexity"Every0.60section
Pseudoconvex functionrelated to Relation to other types of "convexity"For0.60section
Pseudoconvex functionrelated to Relation to other types of "convexity"Similarly0.60section
Pseudoconvex functionrelated to Relation to other types of "convexity"This0.60section
Pseudoconvex functionrelated to Relation to other types of "convexity"To0.60section
Pseudoconvex functionrelated to Relation to other types of "convexity"Then0.60section
Pseudoconvex functionrelated to Sufficient optimality conditionFor0.60section
Pseudoconvex functionrelated to Sufficient optimality conditionFermat's0.60section
Pseudoconvex functionrelated to Sufficient optimality conditionPseudoconvexity0.60section
Pseudoconvex functionrelated to Sufficient optimality conditionThat0.60section
Pseudoconvex functionrelated to Sufficient optimality conditionNote0.60section

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