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» On factorization of multivariate polynomials over algebraic ...
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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
13 years 11 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
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 8 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
13 years 8 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 4 months ago
On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization
In this paper, we give a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which ...
Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
13 years 8 months ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan