Fast Gröbner basis computation and polynomial reduction for generic bivariate ideals

Author:

van der Hoeven Joris,Larrieu Robin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Reference26 articles.

1. Bardet, M., Faugère, J.-C., Salvy, B.: On the complexity of the F5 Gröbner basis algorithm. J. Symb. Comput. 70, 1–24 (2014)

2. Becker, T., Weispfenning, V.: Gröbner bases: a computational approach to commutative algebra. In: Axler, S., Gehring, F.W., Ribet, K.A. (eds.) Graduate Texts in Mathematics, vol. 141. Springer, New York (1993)

3. Buchberger, B.: Ein Algorithmus zum Auffinden der Basiselemente des Restklassenrings nach einem nulldimensionalen Polynomideal. Ph.D. Thesis, Universitat Innsbruck, Austria (1965)

4. Cantor, D.G., Kaltofen, E.: On fast multiplication of polynomials over arbitrary algebras. Acta Inf. 28(7), 693–701 (1991)

5. Faugère, J.-C.: A new efficient algorithm for computing Gröbner bases (F4). J. Pure Appl. Algebra 139(1–3), 61–88 (1999)

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