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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
15 years 4 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
CORR
2010
Springer
139views Education» more  CORR 2010»
14 years 4 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
82
Voted
STOC
1993
ACM
121views Algorithms» more  STOC 1993»
15 years 1 months ago
On the generation of multivariate polynomials which are hard to factor
In this paper we consider the di culty of factoring multivariate polynomials F(x y z :::) modulo n. We consider in particular the case in which F is a product of two randomly chose...
Adi Shamir
AAECC
2010
Springer
136views Algorithms» more  AAECC 2010»
14 years 9 months ago
New recombination algorithms for bivariate polynomial factorization based on Hensel lifting
Abstract. We present new faster deterministic and probabilistic recombination algorithms to compute the irreducible decomposition of a bivariate polynomial via the classical Hensel...
Grégoire Lecerf
CORR
2010
Springer
179views Education» more  CORR 2010»
14 years 7 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...