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ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
14 years 4 months ago
The truncated fourier transform and applications
In this paper, we present a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminati...
Joris van der Hoeven
ISSAC
2005
Springer
110views Mathematics» more  ISSAC 2005»
14 years 5 months ago
Multivariate power series multiplication
We study the multiplication of multivariate power series. We show that over large enough fields, the bilinear complexity of the product modulo a monomial ideal M is bounded by th...
Éric Schost
POPL
2007
ACM
14 years 11 months ago
Lazy multivariate higher-order forward-mode AD
A method is presented for computing all higher-order partial derivatives of a multivariate function Rn R. This method works by evaluating the function under a nonstandard interpre...
Barak A. Pearlmutter, Jeffrey Mark Siskind