Efficiency estimate for distributed computation of Gröbner bases and involutive bases
✍ Scribed by D. A. Yanovich
- Book ID
- 110190909
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2008
- Tongue
- English
- Weight
- 196 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0361-7688
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📜 SIMILAR VOLUMES
This paper reports our work on parallelizing an algorithm computing Gröbner bases on a distributed memory parallel machine. When computing Gröbner bases, the efficiency of computation is dominated by the total number of S-polynomials. To decrease the total number of S-polynomials it is necessary to
Intermediate coefficient swell is a well-known difficulty with Buchberger's algorithm for computing Gröbner bases over the rational numbers. p-Adic and modular methods have been successful in limiting intermediate coefficient growth in other computations, and in particular in the Euclidian algorithm