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.

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Fachgebiet (DDC)
510 Mathematik

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Multivariate polynomial, Bernstein polynomial, Bernstein coefficient

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ISO 690TITI, 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 Polynomials
BibTex
@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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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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