Difference between revisions of "ApCoCoA-1:BB.BBasisForOI"
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| − | 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 <tt>I = <F></tt> with respect to the order ideal <tt>OO</tt>. Gives an error messages if no border basis exists. Uses the <tt>O_sigma(I)</tt> border basis and the border basis transformation algorithm. The inputs are a list of polynomials <tt>F</tt> and a list <tt>OO</tt> of terms that specify an order ideal. The output is a list of polynomials. |
<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> | ||
Revision as of 14:43, 8 July 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] -------------------------------
