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ISSAC
2004
Springer
185views Mathematics» more  ISSAC 2004»
13 years 11 months ago
Automatic generation of polynomial loop
In [17], an abstract framework for automatically generating loop invariants of imperative programs was proposed. This framework was then instantiated for the language of conjuncti...
Enric Rodríguez-Carbonell, Deepak Kapur
ISSAC
2004
Springer
159views Mathematics» more  ISSAC 2004»
13 years 11 months ago
Complexity issues in bivariate polynomial factorization
Many polynomial factorization algorithms rely on Hensel lifting and factor recombination. For bivariate polynomials we show that lifting the factors up to a precision linear in th...
Alin Bostan, Grégoire Lecerf, Bruno Salvy, ...
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
13 years 11 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
2004
Springer
135views Mathematics» more  ISSAC 2004»
13 years 11 months ago
Absolute polynomial factorization in two variables and the knapsack problem
A recent algorithmic procedure for computing the absolute factorization of a polynomial P(X, Y ), after a linear change of coordinates, is via a factorization modulo X3 . This was...
Guillaume Chèze
Mathematics
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