Title
Concise complexity analyses for trust region methods.
Abstract
Concise complexity analyses are presented for simple trust region algorithms for solving unconstrained optimization problems. In contrast to a traditional trust region algorithm, the algorithms considered in this paper require certain control over the choice of trust region radius after any successful iteration. The analyses highlight the essential algorithm components required to obtain certain complexity bounds. In addition, a new update strategy for the trust region radius is proposed that offers a second-order complexity bound.
Year
DOI
Venue
2018
10.1007/s11590-018-1286-2
Optimization Letters
Keywords
Field
DocType
Unconstrained optimization, Nonlinear optimization, Nonconvex optimization, Trust region methods, Global convergence, Worst-case iteration complexity, Worst-case evaluation complexity
Trust region,Mathematical optimization,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
12
8
1862-4472
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Frank E. Curtis143225.71
Zachary Lubberts200.34
Daniel P. Robinson326121.51