On the convergence of global methods in multiextremal optimization
type: Item
instance of: scholarly article
title: On the convergence of global methods in multiextremal optimization
zbMATH Open document ID: 0595.90079
DOI: 10.1007/BF00939434
author: Hoang Tuy
author: Reiner Horst
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: A general class of derivative-free optimization procedures is presented including the corresponding convergence theory. This theory turns out to be very constructive, in the sense that the convergence conditions not only can be verified easily for many existing algorithms, but also allow to construct new procedures. It is shown that popular methods such as branch-and-bound concepts, Pintér's general class of procedures, the algorithms of Pijavskij, Shubert, and Mladineo, and the approach of Zheng and Galperin cannot only be subsumed under this class of methods, but also partly be improved by regarding them within the framework presented.
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 3959146
zbMATH Keywords: derivative-free optimization procedures
zbMATH Keywords: branch-and-bound
zbMATH Keywords: global optimization
zbMATH Keywords: multiextremal optimization
zbMATH Keywords: Lipschitzian optimization
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939434
OpenAlex ID: W2009932764
description: scientific article; zbMATH DE number 3959146