ApCoCoA-1:BB.BBasis: Difference between revisions
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<title>BB.BBasis</title> | <title>BB.BBasis</title> | ||
<short_description>Compute the border basis of a zero-dimensional ideal.</short_description> | <short_description>Compute the border basis of a zero-dimensional ideal.</short_description> | ||
<syntax>BB.BBasis(I:IDEAL):LIST of POLY</syntax> | |||
<syntax> | |||
BB.BBasis(I:IDEAL):LIST of POLY | |||
</syntax> | |||
<description> | <description> | ||
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | ||
Revision as of 14:43, 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] -------------------------------
