Difference between revisions of "ApCoCoA-1:BBF.Explanation of BBF variables and structures"
From ApCoCoAWiki
m (ApCoCoA:BBF.MeaningOfVariables moved to ApCoCoA:BBF.Explanation of variables of BBF: Name change (again).) |
m (ApCoCoA:BBF.Explanation of variables of BBF moved to ApCoCoA:BBF.Explanation of variables and structures: Name change (again).) |
(No difference)
| |
Revision as of 14:58, 23 April 2009
BBF.BBFOverview
An overview of the Border Basis Framework.
Syntax
...
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
...
