Multiplication of Polynomials using Discrete Fourier Transformation

• Autorzy: Krzysztof Treyderowski , Christoph Schwarzweller
• Języki publikacji: EN

Abstrakty

EN

In this article we define the Discrete Fourier Transformation for univariate polynomials and show that multiplication of polynomials can be carried out by two Fourier Transformations with a vector multiplication in-between. Our proof follows the standard one found in the literature and uses Vandermonde matrices, see e.g. [27].

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 4
• Strony: 121-128

Daty

wydano

2006-01-01

online

2008-06-13

Twórcy

autor

Krzysztof Treyderowski

• Department of Computer Science, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Christoph Schwarzweller

• Department of Computer Science, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

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Identyfikatory

DOI

10.2478/v10037-006-0015-y