Difference between revisions of "ApCoCoA-1:BB.GenericBB"
From ApCoCoAWiki
m (replaced <quotes> tag by real quotes) |
|||
(3 intermediate revisions by the same user not shown) | |||
Line 1: | Line 1: | ||
+ | {{Version|1}} | ||
<command> | <command> | ||
<title>BB.GenericBB</title> | <title>BB.GenericBB</title> | ||
Line 7: | Line 8: | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
− | Computes the | + | Computes the "generic" border basis w.r.t. an order ideal <tt>OO</tt> i.e. the polynomials <tt>g_j = b_j - \sum_i c_{ij} * t_i</tt>. The output is a list of <tt>POLY</tt> in a "universal family ring" <tt>UF</tt> where <tt>UF=K[x_1,..,x_n,c_{ij}]</tt>. |
<itemize> | <itemize> | ||
<item>@param <em>OO</em> A list of terms representing an order ideal. The second element has to be of type <tt>POLY</tt>.</item> | <item>@param <em>OO</em> A list of terms representing an order ideal. The second element has to be of type <tt>POLY</tt>.</item> | ||
Line 19: | Line 20: | ||
<key>BB.GenericBB</key> | <key>BB.GenericBB</key> | ||
<key>borderbasis.GenericBB</key> | <key>borderbasis.GenericBB</key> | ||
− | <wiki-category>Package_borderbasis</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> |
</command> | </command> |
Latest revision as of 13:27, 29 October 2020
This article is about a function from ApCoCoA-1. |
BB.GenericBB
Computes 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 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. The second element has to be of type POLY.
@return A list of generic border basis polynomials w.r.t. to an order ideal OO.