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URN: urn:nbn:de:0030-drops-7726
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Gao, Xiao-Shan ; Zhang, Mingbo

Decomposition of Differential Polynomials

06271.GaoXiaoShan.ExtAbstract.772.pdf (0.2 MB)


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

  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 =		{},
  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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