Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 5, Pages 20–25 (Mi vmumm432)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Simple signature based iterative algorithm for calculation of Gröbner bases

V. V. Galkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: This paper presents an algorithm for computing Groebner bases based upon labeled polynomials from the algorithm F5. The main highlight of this algorithm compared with analogues is the simplicity both of the algorithm and of its correctness proof achieved without loss of efficiency. This leads to a simple implementation which performance is in par with more complex analogues.
Key words: Groebner basis, F5 algorithm, labeled polynomials.
Received: 18.05.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 5, Pages 231–236
DOI: https://doi.org/10.3103/S0027132213050033
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: V. V. Galkin, “Simple signature based iterative algorithm for calculation of Gröbner bases”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 5, 20–25; Moscow University Mathematics Bulletin, 68:5 (2013), 231–236
Citation in format AMSBIB
\Bibitem{Gal13}
\by V.~V.~Galkin
\paper Simple signature based iterative algorithm for calculation of Gr\"obner bases
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 5
\pages 20--25
\mathnet{http://mi.mathnet.ru/vmumm432}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 5
\pages 231--236
\crossref{https://doi.org/10.3103/S0027132213050033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887340620}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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