On computation of Gröbner bases for linear difference systems
✍ Scribed by Vladimir P. Gerdt
- Book ID
- 108219446
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 181 KB
- Volume
- 559
- Category
- Article
- ISSN
- 0168-9002
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📜 SIMILAR VOLUMES
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
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