ApCoCoA-1:BB.BBasis: Difference between revisions
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<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. | |||
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Let <formula>\sigma</formula> be a degree compatible term ordering. The function <tt>BBasis</tt> calls the ApCoCoAServer to compute the <formula>\mathcal{O}_\sigma(I)</formula>-border basis of the zero-dimensional input ideal <tt>I</tt> and returns it as a list of polynomials. | Let <formula>\sigma</formula> be a degree compatible term ordering. The function <tt>BBasis</tt> calls the ApCoCoAServer to compute the <formula>\mathcal{O}_\sigma(I)</formula>-border basis of the zero-dimensional input ideal <tt>I</tt> and returns it as a list of polynomials. | ||
Revision as of 10:54, 23 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.
@param I A zero-dimensional ideal of which to compute a border basis.
@return A list of border basis polynomials.
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] -------------------------------
