Bounding the Range of a Sum of Multivariate Rational Functions
- 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 and bound algorithm. In this paper, bounding methods are discussed which rely on the expansion of a multivariate polynomial into Bernstein polynomials.
Author: | Mohammad AdmORCiDGND, Jürgen GarloffORCiDGND, Jihad Titi, Ali Elgayar |
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URN: | urn:nbn:de:bsz:kon4-opus4-49615 |
DOI: | https://doi.org/10.1007/978-3-031-16415-6_36 |
ISBN: | 978-3-031-16415-6 |
Parent Title (English): | Decision Making Under Uncertainty and Constraints |
Publisher: | Springer International Publishing AG |
Place of publication: | Cham, Schweiz |
Document Type: | Part of a Book |
Language: | English |
Year of Publication: | 2023 |
Release Date: | 2023/12/01 |
Tag: | Multivariate rational function; Range enclosure; Bernstein polynomial |
First Page: | 239 |
Last Page: | 249 |
Institutes: | Institut für Angewandte Forschung - IAF |
DDC functional group: | 510 Mathematik |
Open Access?: | Ja |
Relevance: | Peer reviewed nach anderen Listungen (mit Nachweis zum Peer Review Verfahren) |
Licence (German): | Urheberrechtlich geschützt |