Title
Incorporating minimum Frobenius norm models in direct search
Abstract
The goal of this paper is to show that the use of minimum Frobenius norm quadratic models can improve the performance of direct-search methods. The approach taken here is to maintain the structure of directional direct-search methods, organized around a search and a poll step, and to use the set of previously evaluated points generated during a direct-search run to build the models. The minimization of the models within a trust region provides an enhanced search step. Our numerical results show that such a procedure can lead to a significant improvement of direct search for smooth, piecewise smooth, and noisy problems.
Year
DOI
Venue
2010
10.1007/s10589-009-9283-0
Computational Optimization and Applications
Keywords
DocType
Volume
Derivative-free optimization,Minimum Frobenius norm models,Direct search,Generalized pattern search,Search step,Data profiles
Journal
46
Issue
ISSN
Citations 
2
0926-6003
39
PageRank 
References 
Authors
1.45
6
3
Name
Order
Citations
PageRank
A. L. Custódio11528.09
Humberto Rocha2462.07
luis n vicente317611.24