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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.

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Author:Jihad Titi, Jürgen GarloffORCiDGND
Parent Title (English):Computer Algebra in Scientific Computing, 22nd International Workshop, CASC 2020, September 14–18, 2020, Linz, Austria, Proceedings
Place of publication:Cham
Document Type:Conference Proceeding
Year of Publication:2020
Release Date:2021/01/10
Tag:Bernstein coefficient; Bernstein polynomial; Multivariate polynomial
First Page:583
Last Page:599
Volltextzugriff für Angehörige im Campusnetz der Hochschule Konstanz möglich.
DDC functional group:500 Naturwissenschaften und Mathematik
Relevance:Keine peer reviewed Publikation (Wissenschaftlicher Artikel und Aufsatz, Proceeding, Artikel in Tagungsband)
Open Access?:Nein
Licence (English):License LogoLizenzbedingungen Springer