Title
Newton's method may fail to recognize proximity to optimal points in constrained optimization.
Abstract
We will show examples in which the primal sequence generated by the Newton---Lagrange method converges to a strict local minimizer of a constrained optimization problem but the gradient of the Lagrangian does not tend to zero, independently of the choice of the dual sequence.
Year
DOI
Venue
2016
10.1007/s10107-016-0994-6
Math. Program.
Keywords
Field
DocType
Constrained optimization, Newton–Lagrange method, Sequential optimality conditions, Stopping criteria, 90C30, 90C46, 90C55
Mathematical optimization,Lagrangian,Newton's method in optimization,Lagrangian relaxation,Constrained optimization problem,Mathematics,Constrained optimization,Newton's method
Journal
Volume
Issue
ISSN
160
1-2
1436-4646
Citations 
PageRank 
References 
3
0.39
7
Authors
3
Name
Order
Citations
PageRank
R. Andreani143425.10
José Mario Martínez284775.64
L. T. Santos3151.64