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A Rational Approach to the Prelle–Singer Algorithm

✍ Scribed by YIU-KWONG MAN; MALCOLM A.H. MACCALLUM

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
423 KB
Volume
24
Category
Article
ISSN
0747-7171

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✦ Synopsis

We present an approach to computing the Darboux polynomials required in the Prelle-Singer algorithm which avoids algebraic extensions of the constant field, and describe a partial implementation in REDUCE in which the leading terms of the polynomials are obtained by a modified version of the method described by Christopher and Collins.

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