Bounds for the range of a complex polynomial over a rectangular region

Titi, Jihad; Garloff, Jürgen

Bounds for the range of a complex polynomial over a rectangular region

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2021

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Journal of Computational and Applied Mathematics. Elsevier. 2021, 391, 113377. ISSN 0377-0427. eISSN 1879-1778. Available under: doi: 10.1016/j.cam.2020.113377

Zusammenfassung

Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus over a rectangular region in the complex plane are presented. The approach relies on the expansion of the given polynomial into Bernstein polynomials. The results are extended to multivariate complex polynomials and rational functions.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Complex interval, Complex polynomial, Enclosure of the range, Bernstein polynomial, Multivariate complex polynomia,l Multivariate rational function

Zitieren

ISO 690

TITI, Jihad, Jürgen GARLOFF, 2021. Bounds for the range of a complex polynomial over a rectangular region. In: Journal of Computational and Applied Mathematics. Elsevier. 2021, 391, 113377. ISSN 0377-0427. eISSN 1879-1778. Available under: doi: 10.1016/j.cam.2020.113377

BibTex

@article{Titi2021Bound-53251,
  year={2021},
  doi={10.1016/j.cam.2020.113377},
  title={Bounds for the range of a complex polynomial over a rectangular region},
  volume={391},
  issn={0377-0427},
  journal={Journal of Computational and Applied Mathematics},
  author={Titi, Jihad and Garloff, Jürgen},
  note={Bereits als Working Paper veröffentlicht in der Reihe Konstanzer Schriften in Mathematik ; 396 Article Number: 113377}
}

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/123456789/53251">
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-03-24T13:41:40Z</dcterms:available>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Garloff, Jürgen</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-03-24T13:41:40Z</dc:date>
    <dc:contributor>Titi, Jihad</dc:contributor>
    <dc:contributor>Garloff, Jürgen</dc:contributor>
    <dcterms:issued>2021</dcterms:issued>
    <dcterms:title>Bounds for the range of a complex polynomial over a rectangular region</dcterms:title>
    <dc:language>eng</dc:language>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/53251"/>
    <dcterms:abstract xml:lang="eng">Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus over a rectangular region in the complex plane are presented. The approach relies on the expansion of the given polynomial into Bernstein polynomials. The results are extended to multivariate complex polynomials and rational functions.</dcterms:abstract>
    <dc:creator>Titi, Jihad</dc:creator>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
  </rdf:Description>
</rdf:RDF>

Kommentar zur Publikation

Bereits als Working Paper veröffentlicht in der Reihe Konstanzer Schriften in Mathematik ; 396

Universitätsbibliographie

Ja

Begutachtet

Ja