Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/7749
Title: Space Mapping: Models, Sensitivities, and Trust-Regions Methods
Authors: Vicente, Luís N. 
Issue Date: 2003
Citation: Optimization and Engineering. 4:3 (2003) 159-175
Abstract: The goal of this paper is to organize some of the mathematical and algorithmic aspects of the space-mapping technique for continuous optimization with expensive function evaluations. First, we consider the mapping from the fine space to the coarse space when the models are vector-valued functions and when the space-mapping (nonlinear) least-squares residual is nonzero. We show how the sensitivities of the space mapping can be used to deal with space-mapping surrogates of the fine model. We derive a framework where it is possible to design globally convergent trust-region methods to minimize such fine-model surrogates.
URI: http://hdl.handle.net/10316/7749
DOI: 10.1023/A:1023968629245
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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