Difference between revisions of "ApCoCoA-1:BB.BBasisForOI"
From ApCoCoAWiki
KHiddemann (talk | contribs) (fixing keys) |
KHiddemann (talk | contribs) m |
||
| Line 6: | Line 6: | ||
</syntax> | </syntax> | ||
<description> | <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 | + | 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. |
<example> | <example> | ||
Use Q[x,y]; | Use Q[x,y]; | ||
Revision as of 12:20, 8 November 2007
borderbasis.BorderBasis
border basis of an ideal
Syntax
$borderbasis.BorderBasis(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.
Example
Use Q[x,y]; $borderbasis.BorderBasis([x^2, xy + y^2], [1,x,y,y^2]); [xy + y^2, x^2, y^3, xy^2] -------------------------------
