Bounds for the Range of a Complex Polynomial over a Rectangular Region
| Type of Publication: | Working Paper/Technical Report |
| Publication status: | Accepted |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-2jh12ihlpabd2 |
| Author: | Titi, Jihad; Garloff, Jürgen |
| Year of publication: | 2020 |
| Series: | Konstanzer Schriften in Mathematik ; 396 |
| Summary: |
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.
|
| MSC Classification: | 65G40, 65E05 |
| Subject (DDC): | 510 Mathematics |
| Keywords: | Complex interval. complex polynomial, enclosure of the range, Bernstein polynomial, multivariate complex polynomial, multivariate rational function |
| Comment on publication: | Wird erscheinen in: Journal of Computational and Applied Mathematics ; 2021 |
| Link to License: | In Copyright |
| Bibliography of Konstanz: | Yes |
Cite This
Files in this item
![[PDF]](/themes/Kops/images/mimes/pdf.png "PDF file"){kind=small}
TITI, Jihad, Jürgen GARLOFF, 2020. Bounds for the Range of a Complex Polynomial over a Rectangular Region
@techreport{Titi2020Bound-52291, series={Konstanzer Schriften in Mathematik}, title={Bounds for the Range of a Complex Polynomial over a Rectangular Region}, year={2020}, number={396}, author={Titi, Jihad and Garloff, Jürgen}, note={Wird erscheinen in: Journal of Computational and Applied Mathematics ; 2021} }
<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/rdf/resource/123456789/52291"> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/52291/3/Titi_2-2jh12ihlpabd2.pdf"/> <dc:rights>terms-of-use</dc:rights> <dc:language>eng</dc:language> <dc:creator>Titi, Jihad</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-01-05T12:38:01Z</dc:date> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-01-05T12:38:01Z</dcterms:available> <dcterms:title>Bounds for the Range of a Complex Polynomial over a Rectangular Region</dcterms:title> <dc:contributor>Garloff, Jürgen</dc:contributor> <dcterms:issued>2020</dcterms:issued> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/52291"/> <dc:contributor>Titi, Jihad</dc:contributor> <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> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dc:creator>Garloff, Jürgen</dc:creator> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/52291/3/Titi_2-2jh12ihlpabd2.pdf"/> </rdf:Description> </rdf:RDF>
Downloads since Jan 5, 2021 (Information about access statistics)
| Titi_2-2jh12ihlpabd2.pdf | 48 |
This item appears in the following Collection(s)
Search KOPS
Browse
My Account
