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Survey of trust-region derivative free optimization methods
Date
2007-05-01
Author
Karasözen, Bülent
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In this survey article we give the basic description of the interpolation based derivative free optimization methods and their variants. We review the recent contributions dealing with maintaining the geometry of the interpolation set, the management of the trust region radius and the stopping criteria. Derivative free algorithms developed for problems with some structure, like for partially separable functions, are discussed. Two different versions of derivative free algorithms are applied for the optimization of the configuration of the geometry of a stirrer. Numerical results are presented to show the applicability of the algorithms to practical problems.
Subject Keywords
Derivative-free optimization
,
Multi-variate interpolation
,
Trust-region methods
,
Partially separable functions
URI
https://hdl.handle.net/11511/32571
Journal
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
DOI
https://doi.org/10.3934/jimo.2007.3.321
Collections
Graduate School of Applied Mathematics, Article
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BibTeX
B. Karasözen, “Survey of trust-region derivative free optimization methods,”
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
, pp. 321–334, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32571.