Bounds for the Range of a Complex Polynomial over a Rectangular Region

2020
Series
Konstanzer Schriften in Mathematik; 396
Publication type
Working Paper/Technical Report
Accepted
Abstract
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.
510 Mathematics
Keywords
Complex interval. complex polynomial, enclosure of the range, Bernstein polynomial, multivariate complex polynomial, multivariate rational function
Cite This
ISO 690TITI, Jihad, Jürgen GARLOFF, 2020. Bounds for the Range of a Complex Polynomial over a Rectangular Region
BibTex
@techreport{Titi2020Bound-52291,
year={2020},
series={Konstanzer Schriften in Mathematik},
title={Bounds for the Range of a Complex Polynomial over a Rectangular Region},
number={396},
author={Titi, Jihad and Garloff, Jürgen},
note={Wird erscheinen in: Journal of Computational and Applied Mathematics ; 2021}
}

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#" >
<dcterms:title>Bounds for the Range of a Complex Polynomial over a Rectangular Region</dcterms:title>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<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>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:creator>Garloff, Jürgen</dc:creator>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:contributor>Garloff, Jürgen</dc:contributor>
<dc:language>eng</dc:language>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/52291/3/Titi_2-2jh12ihlpabd2.pdf"/>
<dc:rights>terms-of-use</dc:rights>