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
A Maple package for computing Gröbner bases for linear recurrence relations
✍ Scribed by Vladimir P. Gerdt; Daniel Robertz
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 173 KB
- Volume
- 559
- Category
- Article
- ISSN
- 0168-9002
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📜 SIMILAR VOLUMES
The Gro¨bner basis technique for calculating Feynman diagrams proposed in (Acta Phys. Pol. B 29(1998) 2655) is applied to the two-loop propagator type integrals with arbitrary masses and momentum. We describe the derivation of Gro¨bner bases for all integrals with 1PI topologies and present explicit
Let F be a set of polynomials in the variables x = x 1 , . . . , xn with coefficients in R[a], where R is a UFD and a = a 1 , . . . , am a set of parameters. In this paper we present a new algorithm for discussing Gröbner bases with parameters. The algorithm obtains all the cases over the parameters