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

From ApCoCoAWiki
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</syntax>
 
</syntax>
 
   <description>
 
   <description>
Computes the <quotes>generic</quotes> border basis w.r.t. an order ideal OO i.e. the polynomials g_j = b_j - \sum_i c_{ij} * t_i. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a <quotes>universal family ring</quotes> UF where UF=K[x_1,..,x_n,c_{ij}].
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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>.
 
<itemize>
 
<itemize>
   <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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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>@return A list of generic border basis polynomials w.r.t. to an order ideal OO. The polynomials will belong to the ring UF=K[x_1,..,x_n,c_{ij}].</item>
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   <item>@return A list of generic border basis polynomials w.r.t. to an order ideal <tt>OO</tt>. </item>
 
</itemize>
 
</itemize>
 
   </description>
 
   </description>

Revision as of 15:16, 8 July 2009

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.