NDLI: The F5 algorithm in Buchberger’s style

Content Provider	Springer Nature Link
Author	Sun, Yao Wang, Dingkang
Copyright Year	2011
Abstract	The famous F5 algorithm for computing Gröbner basis was presented by Faugère in 2002. The original version of F5 is given in programming codes, so it is a bit difficult to understand. In this paper, the F5 algorithm is simplified as F5B in a Buchberger’s style such that it is easy to understand and implement. In order to describe F5B, we introduce F5-reduction, which keeps the signature of labeled polynomials unchanged after reduction. The equivalence between F5 and F5B is also shown. At last, some versions of the F5 algorithm are illustrated.
Starting Page	1218
Ending Page	1231
Page Count	14
File Format	PDF
ISSN	10096124
Journal	Journal of Systems Science and Complexity
Volume Number	24
Issue Number	6
e-ISSN	15597067
Language	English
Publisher	Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Publisher Date	2011-12-06
Publisher Place	Beijing
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Buchberger’s style F5 algorithm Gröbner basis Systems Theory, Control Statistical Physics, Dynamical Systems and Complexity Mathematics of Computing Statistics Operations Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Information Systems

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The F5 algorithm in Buchberger’s style