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

From ApCoCoAWiki
(Description update.)
(Types section update.)
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   <types>
 
   <types>
 
     <type>list</type>
 
     <type>list</type>
 +
    <type>borderbasis</type>
 
   </types>
 
   </types>
 
   <key>GenericBB</key>
 
   <key>GenericBB</key>

Revision as of 12:08, 24 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 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 "universal family ring" UF where UF=K[x_1,..,x_n,c_{ij}].

  • @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}].