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TitleComputing Grobner Bases within Linear Algebra
Author(s) Akira Suzuki
TypeBook, Chapter in Book, Conference Proceeding
AbstractIn this paper, we present an alternative algorithm to compute Grobner bases, which is based on computations on sparse linear algebra. Both of S-polynomial computations and monomial reductions are computed in linear algebra simultaneously in this algorithm. So it can be implemented to any computational system which can handle linear algebra. For a given ideal in a polynomial ring, it calculates a Grobner basis along with the corresponding term order appropriately.
URL http://dx.doi.org/10.1007/978-3-642-04103-7_27
LanguageEnglish
SeriesLecture Notes in Computer Science
Volume5743
Pages310-321
PublisherSpringer Berlin / Heidelberg
Year2009
Note10.1007/978-3-642-04103-7_27
EditorGerdt, Vladimir and Mayr, Ernst and Vorozhtsov, Evgenii
Translation No
Refereed Yes
BookComputer Algebra in Scientific Computing
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