Title
The global convergence of augmented Lagrangian methods based on NCP function in constrained nonconvex optimization
Abstract
In this paper, we present the global convergence properties of the primal–dual method using a class of augmented Lagrangian functions based on NCP function for inequality constrained nonconvex optimization problems. We construct four modified augmented Lagrangian methods based on different algorithmic strategies. We show that the convergence to a KKT point or a degenerate point of the original problem can be ensured without requiring the boundedness condition of the multiplier sequence.
Year
DOI
Venue
2009
10.1016/j.amc.2008.10.015
Applied Mathematics and Computation
Keywords
Field
DocType
Nonconvex optimization,Constrained optimization,Augmented Lagrangian methods,Convergence to KKT point,Degenerate point
Convergence (routing),Mathematical optimization,Algorithmics,Mathematical analysis,Multiplier (economics),Augmented Lagrangian method,Lagrangian relaxation,Karush–Kuhn–Tucker conditions,Optimization problem,Mathematics,Constrained optimization
Journal
Volume
Issue
ISSN
207
1
0096-3003
Citations 
PageRank 
References 
2
0.40
20
Authors
3
Name
Order
Citations
PageRank
H. X. Wu1252.11
H.Z. Luo220.40
S.L. Li320.40