Title | Computing Grobner Bases within Linear Algebra |
Author(s) | Akira Suzuki |
Type | Book, Chapter in Book, Conference Proceeding |
Abstract | In 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.
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URL |
http://dx.doi.org/10.1007/978-3-642-04103-7_27 |
Language | English |
Series | Lecture Notes in Computer Science |
Volume | 5743 |
Pages | 310-321 |
Publisher | Springer Berlin / Heidelberg |
Year | 2009 |
Note | 10.1007/978-3-642-04103-7_27 |
Editor | Gerdt, Vladimir and Mayr, Ernst and Vorozhtsov, Evgenii |
Translation |
No |
Refereed |
Yes |
Book | Computer Algebra in Scientific Computing |