Bounding the Range of a Sum of Multivariate Rational Functions

Lade...
Vorschaubild
Dateien
Adm_2-7ewmmysppusq6.pdf
Adm_2-7ewmmysppusq6.pdfGröße: 335.37 KBDownloads: 136
Datum
2021
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Auflagebezeichnung
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Publikationstyp
Working Paper/Technical Report
Publikationsstatus
Accepted
Wird erscheinen in
Zusammenfassung

Bounding the range of a sum of rational functions is an important task if, e.g., the global polynomial sum of ratios problem is solved by a branch abd bound algorithm. In this paper, bounding methods are discussed which rely on the expansion of a multivariate polynomial into Bernstein polynomials.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Multivariate rational function, Range enclosure, Bernstein polynomial
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690ADM, Mohammad, Jürgen GARLOFF, Jihad TITI, Ali ELGAYAR, 2021. Bounding the Range of a Sum of Multivariate Rational Functions
BibTex
@techreport{Adm2021Bound-55894,
  year={2021},
  series={Konstanzer Schriften in Mathematik},
  title={Bounding the Range of a Sum of Multivariate Rational Functions},
  number={399},
  author={Adm, Mohammad and Garloff, Jürgen and Titi, Jihad and Elgayar, Ali},
  note={Wird erscheinen in: Decision Making under Uncertainty and Constraints: A Why-Book / Ceberio, Martine; Kreinovich, Vladik (Hrsg.). - Cham, Schweiz : Springer Nature, 2022. - (Studies in Computational Intelligence)}
}
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/123456789/55894">
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-12-15T06:55:50Z</dcterms:available>
    <dc:creator>Elgayar, Ali</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:language>eng</dc:language>
    <dc:creator>Titi, Jihad</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/55894"/>
    <dcterms:title>Bounding the Range of a Sum of Multivariate Rational Functions</dcterms:title>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Garloff, Jürgen</dc:contributor>
    <dcterms:issued>2021</dcterms:issued>
    <dc:contributor>Adm, Mohammad</dc:contributor>
    <dc:contributor>Elgayar, Ali</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-12-15T06:55:50Z</dc:date>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/55894/3/Adm_2-7ewmmysppusq6.pdf"/>
    <dc:creator>Adm, Mohammad</dc:creator>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Titi, Jihad</dc:contributor>
    <dc:creator>Garloff, Jürgen</dc:creator>
    <dcterms:abstract xml:lang="eng">Bounding the range of a sum of rational functions is an important task if, e.g., the global polynomial sum of ratios problem is solved by a branch abd bound algorithm. In this paper, bounding methods are discussed which rely on the expansion of a multivariate polynomial into Bernstein polynomials.</dcterms:abstract>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/55894/3/Adm_2-7ewmmysppusq6.pdf"/>
  </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
Wird erscheinen in: Decision Making under Uncertainty and Constraints: A Why-Book / Ceberio, Martine; Kreinovich, Vladik (Hrsg.). - Cham, Schweiz : Springer Nature, 2022. - (Studies in Computational Intelligence)
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen