Difference between revisions of "ApCoCoA-1:BB.GenericBB"

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   <title>BB.GenericBB</title>
 
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Computes the <quotes>generic</quotes> border basis w.r.t. an order ideal <tt>OO</tt> i.e. the polynomials <tt>g_j = b_j - \sum_i c_{ij} * t_i</tt>. The output is a list of <tt>POLY</tt> in a <quotes>universal family ring</quotes> <tt>UF</tt> where <tt>UF=K[x_1,..,x_n,c_{ij}]</tt>.
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Computes the "generic" border basis w.r.t. an order ideal <tt>OO</tt> i.e. the polynomials <tt>g_j = b_j - \sum_i c_{ij} * t_i</tt>. The output is a list of <tt>POLY</tt> in a "universal family ring" <tt>UF</tt> where <tt>UF=K[x_1,..,x_n,c_{ij}]</tt>.
 
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   <item>@param <em>OO</em> A list of terms representing an order ideal. The second element has to be of type <tt>POLY</tt>.</item>
 
   <item>@param <em>OO</em> A list of terms representing an order ideal. The second element has to be of type <tt>POLY</tt>.</item>

Latest revision as of 13:27, 29 October 2020

This article is about a function from ApCoCoA-1.

BB.GenericBB

Computes a generic border basis.

Syntax

BB.GenericBB(OO:LIST):LIST

Description

Computes the "generic" border basis w.r.t. an order ideal OO i.e. the polynomials g_j = b_j - \sum_i c_{ij} * t_i. The output is a list of POLY in a "universal family ring" UF where UF=K[x_1,..,x_n,c_{ij}].

  • @param OO A list of terms representing an order ideal. The second element has to be of type POLY.

  • @return A list of generic border basis polynomials w.r.t. to an order ideal OO.