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

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   <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
 
   <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
   <item>@return A list of generic border basis polynomials w.r.t. to an order ideal OO.</item>
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   <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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     </description>
 
     </description>

Revision as of 14:14, 22 April 2009

BB.GenericBB

Compute 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 polys <formula>g_j = b_j - \sum_i c_{ij} t_i</formula>. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a "universal family ring" UF where <formula>UF = K[x_1,..,x_n,c_{ij}]</formula>.

  • @param OO A list of terms representing an order ideal.

  • @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}].