Difference between revisions of "ApCoCoA-1:BB.HomBBscheme"
From ApCoCoAWiki
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<command> | <command> | ||
<title>BB.HomBBscheme</title> | <title>BB.HomBBscheme</title> | ||
| − | <short_description> | + | <short_description>Computes the defining equations of a homogeneous border basis scheme.</short_description> |
| − | <syntax>BB.HomBBscheme(OO:LIST):IDEAL</syntax> | + | |
| + | <syntax> | ||
| + | BB.HomBBscheme(OO:LIST):IDEAL | ||
| + | </syntax> | ||
<description> | <description> | ||
| − | Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices | + | 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> | ||
<types> | <types> | ||
| − | |||
<type>borderbasis</type> | <type>borderbasis</type> | ||
</types> | </types> | ||
| − | <see>BB.BBscheme</see> | + | <see>ApCoCoA-1:BB.BBscheme|BB.BBscheme</see> |
<key>HomBBscheme</key> | <key>HomBBscheme</key> | ||
<key>BB.HomBBscheme</key> | <key>BB.HomBBscheme</key> | ||
<key>borderbasis.HomBBscheme</key> | <key>borderbasis.HomBBscheme</key> | ||
| − | <wiki-category>Package_borderbasis</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> |
</command> | </command> | ||
Latest revision as of 09:41, 7 October 2020
| This article is about a function from ApCoCoA-1. |
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}].
