Publikation: 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
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2020
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Zusammenfassung
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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Multivariate polynomial, Bernstein polynomial, Bernstein coefficient
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TITI, Jihad, Jürgen GARLOFF, 2020. Symbolic-Numeric Computation of the Bernstein Coefficients of a Polynomial from Those of One of Its Partial Derivatives and of the Product of Two PolynomialsBibTex
@techreport{Titi2020Symbo-50570,
year={2020},
series={Konstanzer Schriften in Mathematik},
title={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},
number={393},
author={Titi, Jihad and Garloff, Jürgen},
note={Wird erscheinen in: Computer Algebra in Scientific Computing / Boulier, F.; England, M; Sadykov, T.; Vorozhtsov, E. (Hrsg.). - Springer, 2020. - (Lecture Notes in Computer Science)}
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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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Kommentar zur Publikation
Wird erscheinen in: Computer Algebra in Scientific Computing / Boulier, F.; England, M; Sadykov, T.; Vorozhtsov, E. (Hrsg.). - Springer, 2020. - (Lecture Notes in Computer Science)
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