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JSC
2007
80views more  JSC 2007»
13 years 6 months ago
Improved dense multivariate polynomial factorization algorithms
We present new deterministic and probabilistic algorithms that reduce the factorization of dense polynomials from several to one variable. The deterministic algorithm runs in sub-...
Grégoire Lecerf
CC
2004
Springer
142views System Software» more  CC 2004»
14 years 12 days ago
A Symbolic Approach to Bernstein Expansion for Program Analysis and Optimization
Abstract. Several mathematical frameworks for static analysis of programs have been developed in the past decades. Although these tools are quite useful, they have still many limit...
Philippe Clauss, Irina Tchoupaeva
FOCS
2007
IEEE
14 years 1 months ago
Hardness of Reconstructing Multivariate Polynomials over Finite Fields
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
Parikshit Gopalan, Subhash Khot, Rishi Saket
COCOA
2011
Springer
12 years 6 months ago
The Complexity of Testing Monomials in Multivariate Polynomials
The work in this paper is to initiate a theory of testing monomials in multivariate polynomials. The central question is to ask whether a polynomial represented by certain economi...
Zhixiang Chen, Bin Fu
CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 7 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