Details:
Title  Computing Gr\"obner 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 Gröbner bases, which is based on computations on sparse linear algebra. Both of Spolynomial 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 Gröbner basis along with the corresponding term order appropriately.  ISBN  9783642041020/pbk 
URL 
http://link.springer.com/chapter/10.1007%2F9783642041037_27 
Language  English  Pages  310321  Publisher  Berlin: Springer  Year  2009  Edition  0  Translation 
No  Refereed 
No 
