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URN: urn:nbn:de:0030-drops-7726
URL: http://drops.dagstuhl.de/opus/volltexte/2006/772/

Gao, Xiao-Shan ; Zhang, Mingbo

Decomposition of Differential Polynomials

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Abstract

We present an algorithm to decompose nonlinear differential polynomials in one variable and with rational functions as coefficients. The algorithm is implemented in Maple for the {em constant field} case. The program can be used to decompose differential polynomials with more than one thousand terms effectively.

BibTeX - Entry

@InProceedings{gao_et_al:DSP:2006:772,
  author =	{Xiao-Shan Gao and Mingbo Zhang},
  title =	{Decomposition of Differential Polynomials},
  booktitle =	{Challenges in Symbolic Computation Software},
  year =	{2006},
  editor =	{Wolfram Decker and Mike Dewar and Erich Kaltofen and Stephen Watt },
  number =	{06271},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2006/772},
  annote =	{Keywords: Decomposition, differential polynomial, difference polynomial}
}

Keywords: Decomposition, differential polynomial, difference polynomial
Seminar: 06271 - Challenges in Symbolic Computation Software
Issue date: 2006
Date of publication: 25.10.2006


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