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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
14 years 2 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»
13 years 2 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
STOC
1993
ACM
121views Algorithms» more  STOC 1993»
13 years 11 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»
13 years 7 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»
13 years 4 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...