ApCoCoA-1:BB.HomBBscheme: Difference between revisions

From ApCoCoAWiki
Stadler (talk | contribs)
No edit summary
Stadler (talk | contribs)
No edit summary
Line 7: Line 7:
</syntax>
</syntax>
   <description>
   <description>
Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices. The input is a list OO of terms that specify an order ideal. The second element of OO must be a non-constant polynomial. The output is an ideal in the ring BBS=K[c_{ij}].
Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.
<itemize>
<itemize>
   <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. The second element of <tt>OO</tt> must be a non-constant polynomial.</item>
   <item>@return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring BBS=K[c_{ij}].</item>
   <item>@return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring <tt>BBS=K[c_{ij}]</tt>.</item>
</itemize>
</itemize>
   </description>
   </description>

Revision as of 15:24, 8 July 2009

BB.HomBBscheme

Computes the defining equations of a homogeneous border basis scheme.

Syntax

BB.HomBBscheme(OO:LIST):IDEAL

Description

Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.

  • @param OO A list of terms representing an order ideal. The second element of OO must be a non-constant polynomial.

  • @return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring BBS=K[c_{ij}].

BB.BBscheme