Method of centers for generalized fractional programming

DOI10.1023/A:1004660917684zbMath0964.90045OpenAlexW11852162MaRDI QIDQ5925737

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Publication date: 19 February 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004660917684

zbMATH Keywords

fractional programsmethod of centersparametric methodsrate of convergence

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Fractional programming (90C32)

Related Items (20)

A DC approach for minimax fractional optimization programs with ratios of convex functions ⋮ Optimality conditions and a method of centers for minimax fractional programs with difference of convex functions ⋮ An entropic regularized method of centers for continuous minimax problem with semi infinite constraints ⋮ A proximal point algorithm for generalized fractional programs ⋮ A new linearization technique for minimax linear fractional programming ⋮ Convergence of a proximal algorithm for solving the dual of a generalized fractional program ⋮ Prox-dual regularization algorithm for generalized fractional programs ⋮ Dual method of centers for solving generalized fractional programs ⋮ Proximal bundle methods based on approximate subgradients for solving Lagrangian duals of minimax fractional programs ⋮ Interval division and linearization algorithm for minimax linear fractional program ⋮ Augmented Lagrangian dual for nonconvex minimax fractional programs and proximal bundle algorithms for its resolution ⋮ Proximal bundle algorithms for nonlinearly constrained convex minimax fractional programs ⋮ Prox-regularization of the dual method of centers for generalized fractional programs ⋮ Optimality conditions and DC-Dinkelbach-type algorithm for generalized fractional programs with ratios of difference of convex functions ⋮ A study on optimality and duality theorems of nonlinear generalized disjunctive fractional programming ⋮ Bounded lower subdifferentiability optimization techniques: applications ⋮ Duality Results and Dual Bundle Methods Based on the Dual Method of Centers for Minimax Fractional Programs ⋮ An effective branch and bound algorithm for minimax linear fractional programming ⋮ A sixth bibliography of fractional programming ⋮ Convergence of Prox-Regularization Methods for Generalized Fractional Programming

Cites Work

• An algorithm for generalized fractional programs
• A note on an algorithm for generalized fractional programs
• Fractional programming revisited
• Analysis of a class of fractional programming problems
• Convergence of interval-type algorithms for generalized fractional programming
• Algorithms for generalized fractional programming
• La méthode des centres dans un espace topologique
• Duality in generalized linear fractional programming
• Parametric approaches to fractional programs
• On Nonlinear Fractional Programming
• Programmation mathématique convexe
• On the rate of convergence of certain methods of centers

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