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AM511b Notes
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AM511b Notes
Contents
Announcements
Key ideas from last time
References for today's lecture
Gröbner bases and systems of polynomial equations
Definitions
Recipes
Recipe 0---Main property
Recipe 1---existence of solutions
Recipe 2---existence of a finite number of solutions
Recipe 3---reduction to triangular form
Recipe 4---the Shape Lemma
Recipe 5---Linear Algebra Methods
Some more definitions
Multivariate division by an ideal
S-polynomials and Buchberger's algorithm
Buchberger's Algorithm
The vector space of reduced polynomials
Roots of the system are eigenvalues of a commuting family
About this document ...
Robert Corless
Tue Mar 12 21:09:19 EST 1996