Difference between revisions of "ApCoCoA-1:BB.HomBBscheme"
From ApCoCoAWiki
(we no longer need manual sortkeys here) |
m (insert version info) |
||
| (22 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
| + | {{Version|1}} | ||
<command> | <command> | ||
| − | + | <title>BB.HomBBscheme</title> | |
| − | + | <short_description>Computes the defining equations of a homogeneous border basis scheme.</short_description> | |
| + | |||
<syntax> | <syntax> | ||
| − | + | BB.HomBBscheme(OO:LIST):IDEAL | |
</syntax> | </syntax> | ||
| − | + | <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> | |
| − | <key> | + | <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 <tt>BBS=K[c_{ij}]</tt>.</item> | |
| − | + | </itemize> | |
| − | + | </description> | |
| + | <types> | ||
| + | <type>borderbasis</type> | ||
| + | </types> | ||
| + | <see>ApCoCoA-1:BB.BBscheme|BB.BBscheme</see> | ||
| + | <key>HomBBscheme</key> | ||
| + | <key>BB.HomBBscheme</key> | ||
| + | <key>borderbasis.HomBBscheme</key> | ||
| + | <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}].
