Difference between revisions of "ApCoCoA-1:BB.BBasis"
From ApCoCoAWiki
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</example> | </example> | ||
</description> | </description> | ||
| + | <see>Introduction to CoCoAServer</see> | ||
<see>GBasis5, and more</see> | <see>GBasis5, and more</see> | ||
<see>BB.BBasisForOI</see> | <see>BB.BBasisForOI</see> | ||
<types> | <types> | ||
<type>borderbasis</type> | <type>borderbasis</type> | ||
| + | <type>ideal</type> | ||
<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
</types> | </types> | ||
Revision as of 13:36, 24 April 2009
BB.BBasis
Compute the border basis of a zero-dimensional ideal.
Syntax
BB.BBasis(I:IDEAL):LIST of POLY
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
Let sigma be a degree compatible term ordering. The function BBasis calls the ApCoCoAServer to compute the O_sigma(I)-border basis of the zero-dimensional input ideal I and returns it as a list of polynomials.
The return value will be the computed border basis.
@param I A zero-dimensional ideal of which to compute a border basis.
@return A list of border basis polynomials.
Example
Use QQ[x, y], DegLex; I := Ideal([x^2, xy + y^2]); BB := BBasis(I); BB; ------------------------------- [xy + y^2, x^2, y^3, xy^2] -------------------------------
