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» On the decomposition of rational functions
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ISSAC
2001
Springer
87views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Unirational fields of transcendence degree one and functional decomposition
In this paper we present an algorithm to compute all unirational fields of transcendence degree one containing a given finite set of multivariate rational functions. In particul...
Jaime Gutierrez, Rosario Rubio San Miguel, David S...
CORR
2010
Springer
139views Education» more  CORR 2010»
13 years 11 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
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
JSC
2008
74views more  JSC 2008»
13 years 5 months ago
On the decomposition of rational functions
Mohamed Ayad, Peter Fleischmann
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...