Convergence of the Simplicial Rational Bernstein Form

Zitieren

Dateien zu dieser Ressource

Dateien Größe Format Anzeige

Zu diesem Dokument gibt es keine Dateien.

TITI, Jihad, Tareq HAMADNEH, Jürgen GARLOFF, 2015. Convergence of the Simplicial Rational Bernstein Form. Modelling, Computation and Optimization in Information Systems and Management Sciences (MCO 2015). Metz, France, 11. Mai 2015 - 13. Mai 2015. In: Modelling, Computation and Optimization in Information Systems and Management Sciences : Proceedings of the 3rd International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2015 - Part I. Modelling, Computation and Optimization in Information Systems and Management Sciences (MCO 2015). Metz, France, 11. Mai 2015 - 13. Mai 2015. Cham:Springer International Publishing, pp. 433-441. ISBN 978-3-319-18160-8

@inproceedings{Titi2015Conve-33224, title={Convergence of the Simplicial Rational Bernstein Form}, year={2015}, doi={10.1007/978-3-319-18161-5_37}, number={359}, isbn={978-3-319-18160-8}, address={Cham}, publisher={Springer International Publishing}, series={Advances in Intelligent Systems and Computing}, booktitle={Modelling, Computation and Optimization in Information Systems and Management Sciences : Proceedings of the 3rd International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2015 - Part I}, pages={433--441}, author={Titi, Jihad and Hamadneh, Tareq and Garloff, Jürgen} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/33224"> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/33224"/> <dc:language>eng</dc:language> <dcterms:abstract xml:lang="eng">Bernstein polynomials on a simplex V are considered. The expansion of a given polynomial p into these polynomials provides bounds for range of p over V. Bounds for the range of a rational function over V can easily be obtained from the Bernstein expansions of the numerator and denominator polynomials of this function. In this paper it is shown that these bounds converge monotonically and linearly to the range of the rational function if the degree of the Bernstein expansion is elevated. If V is subdivided then the convergence is quadratic with respect to the maximum of the diameters of the subsimplices.</dcterms:abstract> <dc:creator>Garloff, Jürgen</dc:creator> <dc:contributor>Titi, Jihad</dc:contributor> <dcterms:title>Convergence of the Simplicial Rational Bernstein Form</dcterms:title> <dc:contributor>Garloff, Jürgen</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-03-03T15:12:34Z</dc:date> <dc:creator>Hamadneh, Tareq</dc:creator> <dc:creator>Titi, Jihad</dc:creator> <dcterms:rights rdf:resource="http://nbn-resolving.de/urn:nbn:de:bsz:352-20150914100631302-4485392-8"/> <dcterms:issued>2015</dcterms:issued> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-03-03T15:12:34Z</dcterms:available> <dc:contributor>Hamadneh, Tareq</dc:contributor> </rdf:Description> </rdf:RDF>

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto