Difference between revisions of "ApCoCoA-1:BB.BBasisForOI"
From ApCoCoAWiki
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<command> | <command> | ||
<title>BB.BBasisForOI</title> | <title>BB.BBasisForOI</title> | ||
| − | <short_description> | + | <short_description>Computes the border basis of an ideal w.r.t. a given order ideal.</short_description> |
<syntax> | <syntax> | ||
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<types> | <types> | ||
<type>borderbasis</type> | <type>borderbasis</type> | ||
| + | <type>ideal</type> | ||
</types> | </types> | ||
<see>BB.BBasis</see> | <see>BB.BBasis</see> | ||
Revision as of 12:40, 28 April 2009
BB.BBasisForOI
Computes 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] -------------------------------
