Details:
Title  Computation of Gr\"obner bases.  Author(s)  Masayuki Noro  Type  Book, Chapter in Book, Conference Proceeding  Abstract  In Chap. 1, we presented the theoretical foundation of Gröbner bases, and many of our computations were carried out by hand. When we want to apply Gröbner bases to practical problems, however, in most cases, we will need the help of computers. There are many mathematical software systems which support the computation of Gröbner bases, but we will often encounter cases which require careful settings or preprocessing in order to be efficient. In this chapter, we explain various methods to efficiently use a computer to compute Gröbner bases. We also present some algorithms for performing operations on the ideals realized by Gröbner bases. These operations are implemented in several mathematical software systems: Singular, Macaulay2, CoCoA, and Risa/Asir. We will illustrate the usage of these systems mainly by example.  ISBN  9784431545736/hbk; 97844 
URL 
http://link.springer.com/chapter/10.1007%2F9784431545743_3 
Language  English  Pages  107163  Publisher  Tokyo: Springer  Year  2013  Edition  0  Translation 
No  Refereed 
No 
