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CORR
2010
Springer
139views Education» more  CORR 2010»
12 years 11 months 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
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...
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
13 years 10 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang
MKM
2009
Springer
13 years 11 months ago
Algorithms for the Functional Decomposition of Laurent Polynomials
Abstract. Recent work has detailed the conditions under which univariate Laurent polynomials have functional decompositions. This paper presents algorithms to compute such univaria...
Stephen M. Watt
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