Difference between revisions of "ApCoCoA-1:BB.BBasisForOI"
From ApCoCoAWiki
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BB.BBasisForOI([x^2, xy + y^2], [1,x,y,y^2]); | BB.BBasisForOI([x^2, xy + y^2], [1,x,y,y^2]); | ||
Revision as of 13:06, 23 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 <formula>I=<F></formula> with respect to the order ideal OO. Gives an error messages if no border basis exists. Uses the <formula>O_{\sigma}(I)</formula> 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] -------------------------------
