Difference between revisions of "ApCoCoA-1:BB.GenericBB"
From ApCoCoAWiki
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<command> | <command> | ||
| − | + | <title>BB.GenericBB</title> | |
| − | + | <short_description>Compute a generic border basis.</short_description> | |
| − | <syntax> | + | <syntax>BB.GenericBB(OO:LIST):LIST</syntax> |
| − | BB.GenericBB(OO:LIST):LIST | + | <description> |
| − | </syntax> | + | Computes the <quotes>generic</quotes> border basis w.r.t. an order ideal OO i.e. the polynomials g_j = b_j - \sum_i c_{ij} * t_i. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a <quotes>universal family ring</quotes> UF where UF=K[x_1,..,x_n,c_{ij}]. |
| − | |||
| − | Computes the <quotes>generic</quotes> border basis w.r.t. an order ideal OO i.e. the | ||
<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 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}].</item> | + | <item>@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}].</item> |
</itemize> | </itemize> | ||
| − | + | </description> | |
| − | <types> | + | <types> |
| − | <type>list</type> | + | <type>list</type> |
| − | </types> | + | </types> |
| − | + | <key>GenericBB</key> | |
| − | + | <key>BB.GenericBB</key> | |
| − | + | <key>borderbasis.GenericBB</key> | |
| − | + | <wiki-category>Package_borderbasis</wiki-category> | |
</command> | </command> | ||
Revision as of 11:19, 24 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 polynomials g_j = b_j - \sum_i c_{ij} * t_i. 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 UF=K[x_1,..,x_n,c_{ij}].
@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}].
