Greatest common divisor
Tuesday, February 8th, 2005
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Integer and polynomial GCD calculations: useful properties, Euclidean techniques,Resultants and the Sylvester matrix, non-Euclidean modular GCD by large/many small primes.
Archive for the 'CM30070' Category
Buchberger’s Algorithm
Thursday, January 20th, 2005
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An algorithm for determining a Gröbner basis for a collection of polynomials.
Gröbner Basis
Tuesday, January 18th, 2005
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A Gröbner basis for a system of polynomials preserves the common roots whilst being simpler relative to an ordering.
Canonical Representation of polynomials
Saturday, January 15th, 2005
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Discussion of canonical forms for polynomials- single variable dense and sparse representations; orderings for multivariate polynomials.
