Difference between revisions of "ApCoCoA-1:BB.GenericBB"
From ApCoCoAWiki
(Updated parameter and return value list.) |
(Key and see section update.) |
||
Line 12: | Line 12: | ||
</itemize> | </itemize> | ||
</description> | </description> | ||
− | <key> | + | <key>GenericBB</key> |
− | <key> | + | <key>BB.GenericBB</key> |
− | <key>borderbasis. | + | <key>borderbasis.GenericBB</key> |
<wiki-category>Package_borderbasis</wiki-category> | <wiki-category>Package_borderbasis</wiki-category> | ||
</command> | </command> |
Revision as of 19:00, 22 April 2009
BB.GenericBB
Compute 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 polys <formula>g_j = b_j - \sum_i c_{ij} t_i</formula>. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a "universal family ring" UF where <formula>UF = K[x_1,..,x_n,c_{ij}]</formula>.
@param OO A list of terms representing an order ideal.
@return A list of generic border basis polynomials w.r.t. to an order ideal OO. The polynomials will belong to the ring UF = K[x_1,..,x_n,c_{ij}].