ApCoCoA-1:BBF.Explanation of BBF variables and structures: Difference between revisions
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Please see [http://staff.fim.uni-passau.de/kreuzer/papers/algbb.pdf A. Kehrein und M. Kreuzer: Computing border bases] for additional information regarding the Border Basis Algorithm. | Please see [http://staff.fim.uni-passau.de/kreuzer/papers/algbb.pdf A. Kehrein und M. Kreuzer: Computing border bases] for additional information regarding the Border Basis Algorithm. | ||
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References: [1] A. Kehrein und M. Kreuzer, Computing border bases, J. Pure Appl. Alg. 205 (2006), S. 279 - 295 | |||
<example>...</example> | <example>...</example> | ||
</description> | </description> | ||
Revision as of 14:44, 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
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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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