Bounds for the Range of a Complex Polynomial over a Rectangular Region
- Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus over a rectangular region in the complex plane are presented. The approach relies on the expansion of the given polynomial into Bernstein polynomials. The results are extended to multivariate complex polynomials and rational functions.
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| Author: | Jihad TitiORCiD, Jürgen GarloffORCiDGND |
|---|---|
| URN: | urn:nbn:de:bsz:kon4-opus4-29497 |
| DOI: | https://doi.org/10.1016/j.cam.2020.113377 |
| ISSN: | 0377-0427 |
| Parent Title (English): | Journal of Computational and Applied Mathematics |
| Volume: | 391 |
| Publisher: | Elsevier |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2021 |
| Release Date: | 2022/01/08 |
| Tag: | Complex interval; Complex polynomial; Enclosure of the range; Bernstein polynomial; Multivariate complex rational function |
| Page Number: | 18 |
| Article Number: | 113377 |
| Institutes: | Institut für Angewandte Forschung - IAF |
| DDC functional group: | 500 Naturwissenschaften und Mathematik |
| Relevance: | Peer reviewed Publikation in Master Journal List |
| Open Access?: | Nein |
| Licence (English): |  Lizenzbedingungen Elsevier |
