Publikation: Bounding the Range of a Sum of Multivariate Rational Functions
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2021
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Open Access-Veröffentlichung
Open Access Green
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Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
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
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undefined / . - undefined, undefined
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ISO 690
ADM, Mohammad, Jürgen GARLOFF, Jihad TITI, Ali ELGAYAR, 2021. Bounding the Range of a Sum of Multivariate Rational FunctionsBibTex
@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)}
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<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>
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Prüfungsdatum der Dissertation
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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
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Universitätsbibliographie
Ja
