In the theory of multivariate polynomials, Buchberger's algorithm is a method for transforming a given set of polynomials into a Gröbner basis, which is...
6 KB (777 words) - 07:25, 8 September 2023
Distinguished Contributions to Automated Reasoning (2018) Buchberger's algorithm Gröbner bases Bruno Buchberger at the Mathematics Genealogy Project Abramson, Michael...
5 KB (335 words) - 01:23, 23 February 2024
cosets. Buchberger's algorithm: finds a Gröbner basis Cantor–Zassenhaus algorithm: factor polynomials over finite fields Faugère F4 algorithm: finds a...
71 KB (7,843 words) - 02:36, 27 April 2024
Gröbner basis (redirect from Multivariate division algorithm)
introduced by Bruno Buchberger in his 1965 Ph.D. thesis, which also included an algorithm to compute them (Buchberger's algorithm). He named them after...
62 KB (9,909 words) - 23:59, 14 May 2024
rewriting system. When the algorithm succeeds, it effectively solves the word problem for the specified algebra. Buchberger's algorithm for computing Gröbner...
21 KB (2,412 words) - 14:46, 27 March 2023
Computer algebra (redirect from Algebraic algorithms)
Euclidian algorithm. Buchberger's algorithm: finds a Gröbner basis Cantor–Zassenhaus algorithm: factor polynomials over finite fields Faugère F4 algorithm: finds...
25 KB (3,016 words) - 08:07, 16 May 2024
Gaussian elimination (category Exchange algorithms)
elimination can be performed over any field, not just the real numbers. Buchberger's algorithm is a generalization of Gaussian elimination to systems of polynomial...
32 KB (4,222 words) - 08:38, 13 May 2024
AB'CD + ABC'D' + ABCD' + ABCD. Blake canonical form Buchberger's algorithm – analogous algorithm for algebraic geometry Petrick's method Qualitative comparative...
34 KB (3,013 words) - 03:01, 3 April 2024
Cantor–Zassenhaus algorithm. Greatest common divisor via e.g. Euclidean algorithm Gaussian elimination Gröbner basis via e.g. Buchberger's algorithm; generalization...
18 KB (1,844 words) - 01:51, 24 May 2024
(CYK) algorithm independently developed by Tadao Kasami 1965 – Buchberger's algorithm for computing Gröbner bases developed by Bruno Buchberger 1965 –...
20 KB (2,097 words) - 00:37, 9 March 2024