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Journal of Symbolic Computation
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Journal of Symbolic Computation
Article . 2002
License: Elsevier Non-Commercial
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On Multivariate Rational Function Decomposition

On multivariate rational function decomposition
Authors: Jaime Gutierrez 0001; Rosario Rubio San Miguel; David Sevilla;

On Multivariate Rational Function Decomposition

Abstract

The authors discuss several notions of decomposition for multivariate rational functions, and they present algorithms for decomposing multivariate rational functions over an arbitrary field. They also provide a very efficient method to decide if a unirational field has transcendence degree one, and in the affirmative case to compute the generator.

Related Organizations
Keywords

Computational aspects and applications of commutative rings, unirational field, Transcendental field extensions, Computational Mathematics, Algebra and Number Theory, Computational aspects of field theory and polynomials, multivariate rational functions, algorithms, transcendence degree one

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Average
Top 10%
Average
hybrid
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