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» On Decomposition of Tame Polynomials and Rational Functions
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CASC
2006
Springer
123views Mathematics» more  CASC 2006»
13 years 9 months ago
On Decomposition of Tame Polynomials and Rational Functions
Abstract. In this paper we present algorithmic considerations and theoretical results about the relation between the orders of certain groups associated to the components of a poly...
Jaime Gutierrez, David Sevilla
CORR
2010
Springer
139views Education» more  CORR 2010»
13 years 7 days 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
ALGORITHMICA
2007
145views more  ALGORITHMICA 2007»
13 years 5 months ago
Counting Integer Points in Parametric Polytopes Using Barvinok's Rational Functions
Abstract Many compiler optimization techniques depend on the ability to calculate the number of elements that satisfy certain conditions. If these conditions can be represented by ...
Sven Verdoolaege, Rachid Seghir, Kristof Beyls, Vi...
CASC
2011
Springer
212views Mathematics» more  CASC 2011»
12 years 5 months ago
Semi-algebraic Description of the Equilibria of Dynamical Systems
Abstract. We study continuous dynamical systems defined by autonomous ordinary differential equations, themselves given by parametric rational functions. For such systems, we pro...
Changbo Chen, Marc Moreno Maza
JUCS
2006
112views more  JUCS 2006»
13 years 5 months ago
Construction of Wavelets and Applications
: A sequence of increasing translation invariant subspaces can be defined by the Haar-system (or generally by wavelets). The orthogonal projection to the subspaces generates a deco...
Ildikó László, Ferenc Schipp,...