Symbolic-numeric computation of the Bernstein coefficients of a polynomial from those of one of its partial derivatives and of the product of two polynomials
- The expansion of a given multivariate polynomial into Bernstein polynomials is considered. Matrix methods for the calculation of the Bernstein expansion of the product of two polynomials and of the Bernstein expansion of a polynomial from the expansion of one of its partial derivatives are provided which allow also a symbolic computation.
| Author: | Jihad TitiORCiD, Jürgen GarloffORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1007/978-3-030-60026-6_34 |
| ISBN: | 978-3-030-60026-6 |
| Parent Title (English): | Computer Algebra in Scientific Computing, 22nd International Workshop, CASC 2020, September 14–18, 2020, Linz, Austria, Proceedings |
| Publisher: | Springer |
| Place of publication: | Cham |
| Document Type: | Conference Proceeding |
| Language: | English |
| Year of Publication: | 2020 |
| Release Date: | 2021/01/10 |
| Tag: | Multivariate polynomial; Bernstein polynomial; Bernstein coefficient |
| First Page: | 583 |
| Last Page: | 599 |
| Note: | Volltextzugriff für Angehörige im Campusnetz der Hochschule Konstanz möglich. |
| DDC functional group: | 500 Naturwissenschaften und Mathematik |
| Open Access?: | Nein |
| Licence (German): | Urheberrechtlich geschützt |


