Geodesic
On the multiplication of scalar and matrix power series
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 3-7 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. S. Buslenko; Kh. D. Ikramov. On the multiplication of scalar and matrix power series. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 3-7. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a0/

[1] Demmel Dzh., Vychislitelnaya lineinaya algebra. Teoriya i prilozheniya, Mir, M., 2001