Difference between revisions of "ApCoCoA-1:BB.BBasis"

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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>
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<syntax>
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BB.BBasis(I:IDEAL):LIST of POLY
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</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]
-------------------------------

Introduction to CoCoAServer

GBasis5, and more

BB.BBasisForOI