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Bounding the Range of a Sum of Multivariate Rational Functions

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Τίτλος: Bounding the Range of a Sum of Multivariate Rational Functions
Συγγραφείς: Adm, Mohammad, Garloff, Jürgen, Titi, Jihad, Elgayar, Ali
Έτος έκδοσης: 2021
Συλλογή: University of Konstanz: Konstanz Online Publication Server (KOPS)
Θεματικοί όροι: Multivariate rational function, Range enclosure, Bernstein polynomial, ddc:510, 26C15, 65G40, 90C23
Περιγραφή: 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. ; accepted
Τύπος εγγράφου: report
Περιγραφή αρχείου: application/pdf
Γλώσσα: English
ISBN: 978-1-78216-473-9
1-78216-473-1
Relation: Konstanzer Schriften in Mathematik
Διαθεσιμότητα: http://nbn-resolving.de/urn:nbn:de:bsz:352-2-7ewmmysppusq6
Rights: https://rightsstatements.org/page/InC/1.0/
Αριθμός Καταχώρησης: edsbas.BCB6FDD7
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  Data: Bounding the Range of a Sum of Multivariate Rational Functions
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  Data: <searchLink fieldCode="AR" term="%22Adm%2C+Mohammad%22">Adm, Mohammad</searchLink><br /><searchLink fieldCode="AR" term="%22Garloff%2C+Jürgen%22">Garloff, Jürgen</searchLink><br /><searchLink fieldCode="AR" term="%22Titi%2C+Jihad%22">Titi, Jihad</searchLink><br /><searchLink fieldCode="AR" term="%22Elgayar%2C+Ali%22">Elgayar, Ali</searchLink>
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  Data: 2021
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  Data: <searchLink fieldCode="DE" term="%22Multivariate+rational+function%22">Multivariate rational function</searchLink><br /><searchLink fieldCode="DE" term="%22Range+enclosure%22">Range enclosure</searchLink><br /><searchLink fieldCode="DE" term="%22Bernstein+polynomial%22">Bernstein polynomial</searchLink><br /><searchLink fieldCode="DE" term="%22ddc%3A510%22">ddc:510</searchLink><br /><searchLink fieldCode="DE" term="%2226C15%22">26C15</searchLink><br /><searchLink fieldCode="DE" term="%2265G40%22">65G40</searchLink><br /><searchLink fieldCode="DE" term="%2290C23%22">90C23</searchLink>
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  Data: 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. ; accepted
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      – Text: English
    Subjects:
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        Type: general
      – SubjectFull: Range enclosure
        Type: general
      – SubjectFull: Bernstein polynomial
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