Geodesic
Computational complexity of generalized $K_N$-convolutions and the fast Vandermonde transform algorithm
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1625-1637 Cet article a éte moissonné depuis la source Math-Net.Ru

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A lemma on the minimum multiplicative complexity of the reduction operation for polynomials whose coefficients are not in the field of constants in Winograd's sense is proved. The lemma is used to prove theorems on the minimum number of multiplications necessary to compute the generalized $K_N$-convolution and on the existence of a fast Vandermonde transform (FVT) algorithm. An $O(2N\log_2^2N)$ $N$-point algorithm is synthesized. 
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     title = {Computational complexity of generalized $K_N$-convolutions and the fast {Vandermonde} transform algorithm},
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A. M. Krot. Computational complexity of generalized $K_N$-convolutions and the fast Vandermonde transform algorithm. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1625-1637. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a2/

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