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Zh. Vychisl. Mat. Mat. Fiz., 2005, Volume 45, Number 1, Pages 3–7 (Mi zvmmf714)  

On the multiplication of scalar and matrix power series

A. S. Buslenko, Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

Abstract: It is shown that the product of power series with scalar or matrix coefficients can be calculated significantly faster if, instead of the Mathematica function for this product, one uses another Mathematica function that performs the fast Fourier transform.

Key words: power series, polynomials, discrete Fourier transform, fast Fourier transform.

Full text: PDF file (463 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2005, 45:1, 1–4

Bibliographic databases:
UDC: 519.614
Received: 16.06.2004

Citation: A. S. Buslenko, Kh. D. Ikramov, “On the multiplication of scalar and matrix power series”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005), 3–7; Comput. Math. Math. Phys., 45:1 (2005), 1–4

Citation in format AMSBIB
\Bibitem{BusIkr05}
\by A.~S.~Buslenko, Kh.~D.~Ikramov
\paper On the multiplication of scalar and matrix power series
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 1
\pages 3--7
\mathnet{http://mi.mathnet.ru/zvmmf714}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2151040}
\zmath{https://zbmath.org/?q=an:1077.65004}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 1
\pages 1--4


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