Recently, Zharkov and Blinkov introduced the notion of involutive bases of polynomial ideals. This involutive approach has its origin in the theory of partial differential equations and is a translation of results of Janet and Pommaret. In this paper we present a pure algebraic foundation of involut
Asymmetric approach to computation of Gröbner bases
✍ Scribed by E. V. Pankratiev; A. S. Semenov
- Book ID
- 106434984
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 143 KB
- Volume
- 149
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
📜 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