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» Factoring bivariate sparse (lacunary) polynomials
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JC
2007
119views more  JC 2007»
13 years 10 months ago
Factoring bivariate sparse (lacunary) polynomials
We present a deterministic algorithm for computing all irreducible factors of degree ≤ d of a given bivariate polynomial f ∈ K[x, y] over an algebraic number field K and their...
Martin Avendano, Teresa Krick, Martín Sombr...
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 4 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran
ISSAC
2004
Springer
106views Mathematics» more  ISSAC 2004»
14 years 4 months ago
Factoring polynomials via polytopes
We introduce a new approach to multivariate polynomial factorisation which incorporates ideas from polyhedral geometry, and generalises Hensel lifting. Our main contribution is to...
Fatima Abu Salem, Shuhong Gao, Alan G. B. Lauder
CORR
2010
Springer
139views Education» more  CORR 2010»
13 years 5 months ago
A recombination algorithm for the decomposition of multivariate rational functions
In this paper we show how we can compute in a deterministic way the decomposition of a multivariate rational function with a recombination strategy. The key point of our recombinat...
Guillaume Chèze