Difference between revisions of "ApCoCoA-1:BB.BBasisForOI"
From ApCoCoAWiki
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<command> | <command> | ||
| − | + | <title>BB.BBasisForOI</title> | |
| − | + | <short_description>Compute the border basis of an ideal w.r.t. a given order ideal.</short_description> | |
| − | <syntax> | + | <syntax>BB.BBasisForOI(F:LIST,OO:LIST):LIST</syntax> |
| − | BB.BBasisForOI(F:LIST,OO:LIST):LIST | + | <description> |
| − | </syntax> | + | Computes the border basis of the ideal I = <F> with respect to the order ideal OO. Gives an error messages if no border basis exists. Uses the O_sigma(I) border basis and the border basis transformation algorithm. The inputs are a list of polynomials F and a list OO of terms that specify an order ideal. The output is a list of polynomials. |
| − | |||
| − | Computes the border basis of the ideal | ||
<itemize> | <itemize> | ||
<item>@param <em>F</em> Generators of a zero-dimensional ideal whose border basis should be computed.</item> | <item>@param <em>F</em> Generators of a zero-dimensional ideal whose border basis should be computed.</item> | ||
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------------------------------- | ------------------------------- | ||
</example> | </example> | ||
| − | + | </description> | |
| − | <types> | + | <types> |
| − | <type>list</type> | + | <type>list</type> |
| − | </types> | + | </types> |
| − | + | <see>BB.BBasis</see> | |
| − | + | <key>BBasisForOI</key> | |
| − | + | <key>BB.BBasisForOI</key> | |
| − | + | <key>borderbasis.BBasisForOI</key> | |
| − | + | <wiki-category>Package_borderbasis</wiki-category> | |
</command> | </command> | ||
Revision as of 10:54, 24 April 2009
BB.BBasisForOI
Compute the border basis of an ideal w.r.t. a given order ideal.
Syntax
BB.BBasisForOI(F:LIST,OO:LIST):LIST
Description
Computes the border basis of the ideal I = <F> with respect to the order ideal OO. Gives an error messages if no border basis exists. Uses the O_sigma(I) border basis and the border basis transformation algorithm. The inputs are a list of polynomials F and a list OO of terms that specify an order ideal. The output is a list of polynomials.
@param F Generators of a zero-dimensional ideal whose border basis should be computed.
@param OO A list of terms representing an order ideal.
@return A list of border basis polynomials.
Example
Use QQ[x,y]; BB.BBasisForOI([x^2, xy + y^2], [1,x,y,y^2]); [xy + y^2, x^2, y^3, xy^2] -------------------------------
