On second order conditions for quasiconvexity

DOI10.1007/BF01588330zbMath0436.90080MaRDI QIDQ3877413

Jean-Pierre Crouzeix

Publication date: 1980

Published in: Mathematical Programming (Search for Journal in Brave)

zbMATH Keywords

quasiconvexitypseudoconvexitynecessary and sufficient conditionsecond order conditionstwice differentiable functions

Mathematics Subject Classification ID

Convex programming (90C25) Convexity of real functions of several variables, generalizations (26B25)

Related Items (14)

Criteria for differentiable generalized monotone maps ⋮ Matrix-theoretic criteria for the quasiconvexity of twice continuously differentiable functions ⋮ Un problème de duaiité en programmation quasi-concave ⋮ Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives ⋮ Second-order optimality conditions for efficiency in \(C^{1,1}\)-smooth quasiconvex multiobjective programming problem ⋮ Generalized convexity on affine subspaces with an application to potential functions ⋮ Linear interval parametric approach to testing pseudoconvexity ⋮ Testing pseudoconvexity via interval computation ⋮ A regularized Newton method without line search for unconstrained optimization ⋮ Invexity of quadratic functions and restricted/local invexity ⋮ On the Second-Order Sufficiency Conditions ⋮ Criteria for quasi-convexity and pseudo-convexity: Relationships and comparisons ⋮ Generalized concavity of a function in portfolio theory ⋮ Local-global properties of bifunctions

Cites Work

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• Nine kinds of quasiconcavity and concavity
• Quasi-Concave Programming
• Second order characterizations of pseudoconvex functions
• r-convex functions
• Mathematical programming problems with quasi-convex objective functions
• Definite and Semidefinite Quadratic Forms

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