Difference between revisions of "ApCoCoA-1:BB.BBasis"
From ApCoCoAWiki
m (ApCoCoA:BBasis moved to ApCoCoA:BB.BBasis: Moved into other category.) |
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<command> | <command> | ||
<title>BBasis</title> | <title>BBasis</title> | ||
| − | <short_description>border basis of a zero-dimensional ideal</short_description> | + | <short_description>Compute the border basis of a zero-dimensional ideal.</short_description> |
<syntax> | <syntax> | ||
BBasis(I:IDEAL):LIST of POLY | BBasis(I:IDEAL):LIST of POLY | ||
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<key>border basis</key> | <key>border basis</key> | ||
<key>kaspar</key> | <key>kaspar</key> | ||
| + | <wiki-category>Package_borderbasis</wiki-category> | ||
</command> | </command> | ||
Revision as of 10:16, 22 April 2009
BBasis
Compute the border basis of a zero-dimensional ideal.
Syntax
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 <formula>\sigma</formula> be a degree compatible term ordering. The function BBasis calls the ApCoCoAServer to compute the <formula>\mathcal{O}_\sigma(I)</formula>-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.
Example
Use Q[x, y], DegLex; I := Ideal([x^2, xy + y^2]); BB := BBasis(I); BB; ------------------------------- [xy + y^2, x^2, y^3, xy^2] -------------------------------
