Publikation:

Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form

Vorschaubild

Dateien

Garloff_0-386644.pdf
Garloff_0-386644.pdfGröße: 106.45 KBDownloads: 338

Datum

2016

Autor:innen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-0-386644
DOI (zitierfähiger Link)
https://doi.org/10.1007/978-3-319-31769-4_14
ArXiv-ID

Internationale Patentnummer

Link zur Lizenz
Urheberrechtlich geschützt

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Green

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Beitrag zu einem Konferenzband
Publikationsstatus
Published

Erschienen in

NEHMEIER, Marco, ed., Jürgen Wolff VON GUDENBERG, ed., Warwick TUCKER, ed.. Scientific Computing, Computer Arithmetic, and Validated Numerics : 16th International Symposium, SCAN 2014. Cham: Springer, 2016, pp. 171-179. Lecture Notes in Computer Science. 9553. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-31768-7. Available under: doi: 10.1007/978-3-319-31769-4_14

Zusammenfassung

A method is investigated by which tight bounds on the range of a multivariate rational function over a box can be computed. The approach relies on the expansion of the numerator and denominator polynomials in Bernstein polynomials. Convergence of the bounds to the range with respect to degree elevation of the Bernstein expansion, to the width of the box and to subdivision are proven and the inclusion isotonicity of the related enclosure function is shown.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Bernstein polynomial, rational function, range bounding

Konferenz

SCAN 2014 : Scientific Computing, Computer Arithmetic, and Validated Numerics, 16th International Symposium, 21. Sept. 2014 - 26. Sept. 2014, Würzburg, Germany
Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690GARLOFF, Jürgen, Tareq HAMADNEH, 2016. Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form. SCAN 2014 : Scientific Computing, Computer Arithmetic, and Validated Numerics, 16th International Symposium. Würzburg, Germany, 21. Sept. 2014 - 26. Sept. 2014. In: NEHMEIER, Marco, ed., Jürgen Wolff VON GUDENBERG, ed., Warwick TUCKER, ed.. Scientific Computing, Computer Arithmetic, and Validated Numerics : 16th International Symposium, SCAN 2014. Cham: Springer, 2016, pp. 171-179. Lecture Notes in Computer Science. 9553. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-31768-7. Available under: doi: 10.1007/978-3-319-31769-4_14
BibTex
@inproceedings{Garloff2016-04-09Conve-36705,
  year={2016},
  doi={10.1007/978-3-319-31769-4_14},
  title={Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form},
  number={9553},
  isbn={978-3-319-31768-7},
  issn={0302-9743},
  publisher={Springer},
  address={Cham},
  series={Lecture Notes in Computer Science},
  booktitle={Scientific Computing, Computer Arithmetic, and Validated Numerics : 16th International Symposium, SCAN 2014},
  pages={171--179},
  editor={Nehmeier, Marco and von Gudenberg, Jürgen Wolff and Tucker, Warwick},
  author={Garloff, Jürgen and Hamadneh, Tareq}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36705">
    <dc:contributor>Garloff, Jürgen</dc:contributor>
    <dc:language>eng</dc:language>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:issued>2016-04-09</dcterms:issued>
    <dc:contributor>Hamadneh, Tareq</dc:contributor>
    <dcterms:abstract xml:lang="eng">A method is investigated by which tight bounds on the range of a multivariate rational function over a box can be computed. The approach relies on the expansion of the numerator and denominator polynomials in Bernstein polynomials. Convergence of the bounds to the range with respect to degree elevation of the Bernstein expansion, to the width of the box and to subdivision are proven and the inclusion isotonicity of the related enclosure function is shown.</dcterms:abstract>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/36705/3/Garloff_0-386644.pdf"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/36705/3/Garloff_0-386644.pdf"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-01-16T14:32:02Z</dc:date>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/36705"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Garloff, Jürgen</dc:creator>
    <dc:creator>Hamadneh, Tareq</dc:creator>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-01-16T14:32:02Z</dcterms:available>
    <dcterms:title>Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form</dcterms:title>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen