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.
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| Author: | Mohammad AdmORCiDGND, Jürgen GarloffORCiDGND, Jihad Titi, Ali Elgayar |
|---|---|
| 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 |
