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CORR
2008
Springer
104views Education» more  CORR 2008»
15 years 2 months ago
Stable normal forms for polynomial system solving
This paper describes and analyzes a method for computing border bases of a zero-dimensional ideal I. The criterion used in the computation involves specific commutation polynomial...
Bernard Mourrain, Philippe Trebuchet
CAP
2010
14 years 9 months ago
Parallel operations of sparse polynomials on multicores: I. multiplication and Poisson bracket
The multiplication of the sparse multivariate polynomials using the recursive representations is revisited to take advantage on the multicore processors. We take care of the memor...
Mickaël Gastineau
COMPUTING
2006
127views more  COMPUTING 2006»
15 years 2 months ago
PHoMpara - Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems
The polyhedral homotopy continuation method is known to be a successful method for finding all isolated solutions of a system of polynomial equations. PHoM, an implementation of t...
T. Gunji, S. Kim, K. Fujisawa, M. Kojima
DCC
2002
IEEE
16 years 2 months ago
Polynomial Interpolation of the Discrete Logarithm
Recently, Coppersmith and Shparlinski proved several results on the interpolation of the discrete logarithm in the finite prime field Fp by polynomials modulo p and modulo p -1, re...
Arne Winterhof
ENTCS
2008
80views more  ENTCS 2008»
15 years 2 months ago
Boundedness of the Domain of Definition is Undecidable for Polynomial ODEs
Consider the initial-value problem with computable parameters dx dt = p(t, x) x(t0) = x0, where p : Rn+1 Rn is a vector of polynomials and (t0, x0) Rn+1 . We show that the proble...
Daniel S. Graça, Jorge Buescu, Manuel Lamei...