Second order characterizations of pseudoconvex functions

DOI10.1007/BF01588964zbMath0382.90071MaRDI QIDQ4160686

Siegfried Schaible, Mordecai Avriel

Publication date: 1978

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

Mathematics Subject Classification ID

Nonlinear programming (90C30) Convexity of real functions in one variable, generalizations (26A51)

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Cites Work

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• Manifestations of the Schur complement
• Matrix-theoretic criteria for the quasi-convexity and pseudo-convexity of quadratic functions
• Quasi-Concave Programming
• Quasi-concavity and pseudo-concavity of cubic functions
• Pseudo-Convex Functions
• Second Order Sufficient Conditions for Weak and Strict Constrained Minima
• Seven Kinds of Convexity
• Subdefinite Matrices and Quadratic Forms
• Quadratic Programming with a Quasiconvex Objective Function
• On pseudo-convex functions of nonnegative variables
• r-convex functions
• Maximal domains of quasi-convexity and pseudo-convexity for quadratic functions
• Mathematical programming problems with quasi-convex objective functions