On multivariate rational function decomposition
type: Item
instance of: scholarly article
title: On multivariate rational function decomposition
zbMATH Open document ID: 1043.12006
author: Jaime Gutierrez
author: Rosario Rubio
author: David Sevilla
published in: Journal of Symbolic Computation
publication date: 2002-09-17T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 13P99
Mathematics Subject Classification ID: 12F20
zbMATH DE Number: 1801672
zbMATH Keywords: multivariate rational functions
zbMATH Keywords: algorithms
zbMATH Keywords: unirational field
zbMATH Keywords: transcendence degree one
reviewed by: Yueh-er Kuo
MaRDI profile type: Publication
full work available at URL: jsco.2000.0529
OpenAlex ID: W2002352305
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DOI: 10.1006/JSCO.2000.0529
description: scientific article; zbMATH DE number 1801672