On the convexification of nonlinear programming problems: An applications-oriented survey

DOI10.1016/0377-2217(84)90107-3zbMath0547.90082OpenAlexW2037764240MaRDI QIDQ799590

Reiner Horst

Publication date: 1984

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(84)90107-3

zbMATH Keywords

surveyconvexificationgeometric programmingconvex-concave fractional programmingdomain transformationrange transformationtransformability

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Fractional programming (90C32) Numerical methods based on nonlinear programming (49M37) Mathematical programming (90C99)

Related Items

A survey of hidden convex optimization, On convexification for a class of global optimization problems, A Fourth bibliography of fractional programming, Convexification of nonsmooth monotone functions, Proper efficiency in nonconvex vector-maximization-problems, Existence and sum decomposition of vertex polyhedral convex envelopes, Generalized Convexity in Nonlinear Programming, Hidden convex minimization, Reformulations in Mathematical Programming: Definitions and Systematics, New Kuhn-Tucker sufficiency for global optimality via convexification, Exponential transformation in convexifying a noninferior frontier and exponential generating method, On the global minimization of concave functions, Global optimization algorithms for linearly constrained indefinite quadratic problems, Average shadow prices in mathematical programming

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional programming: Applications and algorithms
• Generalized concavity
• Minimization of ratios
• On generalized means and generalized convex functions
• Second-order characterizations of pseudo-convex quadratic functions
• Least concave utility functions
• Concavifiability and constructions of concave utility functions
• Sulle stratificazioni convesse
• A note on the convergence of an algorithm for nonconvex programming problems
• On the computational utility of posynomial geometric programming solution methods
• An algorithm for nonconvex programming problems
• Fractional Programming. II, On Dinkelbach's Algorithm
• Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
• Objective function approximations in mathematical programming
• Second order characterizations of pseudoconvex functions
• An Algorithm for Separable Nonconvex Programming Problems
• r-convex functions
• A note on functions whose local minima are global