Difference between revisions of "ApCoCoA-1:BB.HomBBscheme"
From ApCoCoAWiki
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<command> | <command> | ||
| − | + | <title>BB.HomBBscheme</title> | |
| − | + | <short_description>Compute the defining equations of a homogeneous border basis scheme.</short_description> | |
| − | <syntax> | + | <syntax>BB.HomBBscheme(OO:LIST):IDEAL</syntax> |
| − | BB.HomBBscheme(OO:LIST):IDEAL | + | <description> |
| − | </syntax> | + | 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. 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 | ||
<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.</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 BBS=K[c_{ij}].</item> | ||
</itemize> | </itemize> | ||
| − | + | </description> | |
| − | <types> | + | <types> |
| − | <type>list</type> | + | <type>list</type> |
| − | </types> | + | </types> |
| − | + | <see>BB.BBscheme</see> | |
| − | + | <key>HomBBscheme</key> | |
| − | + | <key>BB.HomBBscheme</key> | |
| − | + | <key>borderbasis.HomBBscheme</key> | |
| − | + | <wiki-category>Package_borderbasis</wiki-category> | |
</command> | </command> | ||
Revision as of 11:13, 24 April 2009
BB.HomBBscheme
Compute 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. 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}].
@param OO A list of terms representing an order ideal.
@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}].
