Saddle points theory of two classes of augmented Lagrangians and its applications to generalized semi-infinite programming
type: Item
instance of: scholarly article
title: Saddle points theory of two classes of augmented Lagrangians and its applications to generalized semi-infinite programming
zbMATH Open document ID: 1169.49014
author: Xiuhua Xu
author: Changyu Wang
author: Jinchuan Zhou
published in: Applied Mathematics and Optimization
publication date: 2009-08-31T00:00:00Z
Mathematics Subject Classification ID: 49K10
Mathematics Subject Classification ID: 90C22
zbMATH DE Number: 5600295
zbMATH Keywords: saddle point
zbMATH Keywords: augmented Lagrangian function
zbMATH Keywords: semi-infinite programming
zbMATH Keywords: first-order optimality conditions
MaRDI profile type: Publication
full work available at URL: s00245-008-9060-y
OpenAlex ID: W1970104012
cites work: Q3134873
cites work: A projected lagrangian algorithm for semi-infinite programming
cites work: Saddle points and Pareto points in multiple objective programming
cites work: Augmented Lagrangian duality and nondifferentiable optimization methods in nonconvex programming
cites work: On augmented Lagrangians for optimization problems with a single constraint
cites work: Semi-infinite programming. Recent advances
cites work: Primal-dual nonlinear rescaling method with dynamic scaling parameter update
cites work: Multiplier and gradient methods
cites work: Semi-Infinite Programming: Theory, Methods, and Applications
cites work: A Unified Augmented Lagrangian Approach to Duality and Exact Penalization
cites work: Further study on augmented Lagrangian duality theory
cites work: Zero duality gap for a class of nonconvex optimization problems
cites work: Saddle point generation in nonlinear nonconvex optimization
cites work: Convexification and existence of a saddle point in a \(p\)th-power reformulation for nonconvex constrained optimization.
cites work: Existence of a saddle point in nonconvex constrained optimization.
cites work: Optimization. Algorithms and consistent approximations
cites work: Algorithms for finite and semi-infinite Min-Max-Min problems using adaptive smoothing techniques
cites work: On the use of augmented Lagrangians in the solution of generalized semi-infinite min-max problems
cites work: A recursive quadratic programming algorithm for semi-infinite optimization problems
cites work: Modified barrier functions (theory and methods)
cites work: Q5590418
cites work: Semismooth Newton methods for solving semi-infinite programming problems
cites work: Lagrange Multipliers and Optimality
cites work: Adaptive Approximations and Exact Penalization for the Solution of Generalized Semi-infinite Min-Max Problems
cites work: The Zero Duality Gap Property and Lower Semicontinuity of the Perturbation Function
cites work: Lagrange-type functions in constrained non-convex optimization.
cites work: First-order optimality conditions for degenerate index sets in generalized semi-infinite optimi\-zation.
cites work: Solving generalized semi-infinite programs by reduction to simpler problems
cites work: On Saddle Points of Augmented Lagrangians for Constrained Nonconvex Optimization
cites work: Nonlinear Lagrange duality theorems and penalty function methods in continuous optimization
cites work: A nonlinear Lagrangian approach to constrained optimization problems
cites work: First-order optimality conditions for convex semi-infinite min-max programming with noncompact sets
DOI: 10.1007/S00245-008-9060-Y
Recommended article: Q5276743
Recommended article: On saddle points of a class of augmented Lagrangian functions
Recommended article: Properties of saddle points for generalized augmented Lagrangian
Recommended article: Saddle points of general augmented Lagrangians for constrained nonconvex optimization
Recommended article: Q4387823
Recommended article: On saddle points in nonconvex semi-infinite programming
Recommended article: Lagrange duality and saddle point optimality conditions for semi-infinite mathematical programming problems with equilibrium constraints
Recommended article: Q5276698
Recommended article: Zero duality and saddle points of a class of augmented Lagrangian functions in constrained non-convex optimization
Recommended article: On Saddle Points of Augmented Lagrangians for Constrained Nonconvex Optimization
description: scientific article; zbMATH DE number 5600295