Bounding the Range of a Sum of Multivariate Rational Functions

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Adm_2-7ewmmysppusq6.pdf
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2021
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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
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undefined / . - undefined, undefined
Zitieren
ISO 690ADM, Mohammad, Jürgen GARLOFF, Jihad TITI, Ali ELGAYAR, 2021. Bounding the Range of a Sum of Multivariate Rational Functions
BibTex
@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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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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