On the convergence of global methods in multiextremal optimization
Identifieur interne : 003243 ( Main/Exploration ); précédent : 003242; suivant : 003244On the convergence of global methods in multiextremal optimization
Auteurs : R. Horst [Allemagne] ; H. Tuy [Viêt Nam]Source :
- Journal of Optimization Theory and Applications [ 0022-3239 ] ; 1987-08-01.
Descripteurs français
- Pascal (Inist)
English descriptors
Abstract
Abstract: 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 one 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 Pijavskii, Shubert, and Mladineo, and the approach of Zheng and Galperin can not only be subsumed under this class of methods, but also partly be improved by regarding them within the framework presented.
Url:
DOI: 10.1007/BF00939434
Affiliations:
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Le document en format XML
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Horst</name><affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country><wicri:regionArea>Fachbereich IV-Mathematik, Universität Trier, Trier</wicri:regionArea><wicri:noRegion>Trier</wicri:noRegion><wicri:noRegion>Trier</wicri:noRegion></affiliation></author><author><name sortKey="Tuy, H" sort="Tuy, H" uniqKey="Tuy H" first="H." last="Tuy">H. Tuy</name><affiliation wicri:level="1"><country xml:lang="fr">Viêt Nam</country><wicri:regionArea>Institute of Mathematics, Bo Hô, Hanoi</wicri:regionArea><wicri:noRegion>Hanoi</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Optimization Theory and Applications</title><title level="j" type="abbrev">J Optim Theory Appl</title><idno type="ISSN">0022-3239</idno><idno type="eISSN">1573-2878</idno><imprint><publisher>Kluwer Academic Publishers-Plenum Publishers</publisher><pubPlace>New York</pubPlace><date type="published" when="1987-08-01">1987-08-01</date><biblScope unit="volume">54</biblScope><biblScope unit="issue">2</biblScope><biblScope unit="page" from="253">253</biblScope><biblScope unit="page" to="271">271</biblScope></imprint><idno type="ISSN">0022-3239</idno></series><idno type="istex">B759147BD55CE37A8617326DE667278AADA749A8</idno><idno type="DOI">10.1007/BF00939434</idno><idno type="ArticleID">BF00939434</idno><idno type="ArticleID">Art3</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0022-3239</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Branch and bound method</term><term>Mathematical programming</term><term>Non linear programming</term><term>Optimization</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Méthode branch and bound</term><term>Optimisation</term><term>Programmation mathématique</term><term>Programmation non linéaire</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: 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 one 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 Pijavskii, Shubert, and Mladineo, and the approach of Zheng and Galperin can not only be subsumed under this class of methods, but also partly be improved by regarding them within the framework presented.</div></front></TEI><affiliations><list><country><li>Allemagne</li><li>Viêt Nam</li></country></list><tree><country name="Allemagne"><noRegion><name sortKey="Horst, R" sort="Horst, R" uniqKey="Horst R" first="R." last="Horst">R. Horst</name></noRegion></country><country name="Viêt Nam"><noRegion><name sortKey="Tuy, H" sort="Tuy, H" uniqKey="Tuy H" first="H." last="Tuy">H. Tuy</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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