Properties of saddle points for generalized augmented Lagrangian

DOI10.1007/s00186-008-0213-1zbMath1190.90267OpenAlexW2047389848MaRDI QIDQ1014294

Wan Mei Tang, Qian Liu, Yang, Xinmin

Publication date: 27 April 2009

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-008-0213-1

zbMATH Keywords

second-order sufficient condition

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Related Items (3)

Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle ⋮ Existence of local saddle points for a new augmented Lagrangian function ⋮ Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property

Cites Work

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• On saddle points of a class of augmented Lagrangian functions
• Multiplier and gradient methods
• Saddle point generation in nonlinear nonconvex optimization
• On Saddle Points of Augmented Lagrangians for Constrained Nonconvex Optimization
• The Zero Duality Gap Property and Lower Semicontinuity of the Perturbation Function
• A Unified Augmented Lagrangian Approach to Duality and Exact Penalization
• Approximate optimal solutions and nonlinear Lagrangian functions.

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