Difference between revisions of "ApCoCoA1:BBF.Explanation of BBF variables and structures"
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Revision as of 14:58, 23 April 2009
BBF.BBFOverview
An overview of the Border Basis Framework.
Syntax
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Description
The naming convention for the structures used during a computation is as follows.
STRUCTURE MEANING  U Order ideal; so called computing universe; named "L" in [1]. V Set of polynomials with pairwise different leading terms; represents a linear basis. W' Set of polynomials with pairwise different leading terms; represents a linear basis extension of V. O Order ideal consisting of elements U \ { LT(v) : v in V }.
Please see A. Kehrein und M. Kreuzer: Computing border bases for additional information regarding the Border Basis Algorithm.
References: [1] A. Kehrein und M. Kreuzer, Computing border bases, J. Pure Appl. Alg. 205 (2006), S. 279  295
Example
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