Difference between revisions of "ApCoCoA-1:Num.IsAppBB"

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{{ApCoCoAServer}} Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.
 
{{ApCoCoAServer}} Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.
  
Checks if a set of polynomials is an approximate border basis with respect to an order ideal. The function returns the distance to an exact border basis.
+
Checks if a set of polynomials is an approximate border basis with respect to an order ideal.  
 +
<itemize>
 +
<item>@param <em>Polys</em> A list of polynomials.</item>
 +
<item>@param <em>OI</em> A list containing the order ideal.</item>
 +
<item>@param <em>Epsilon</em> Rational number</item>
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<item>@return A number A which specifies how close the Polys are to the border basis scheme</item>
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</itemize>
  
 
<example>
 
<example>

Revision as of 16:27, 22 April 2009

Numerical.IsAppBB

Checks if a given set of polynomials is an approximate border basis.

Syntax

Num.IsAppBB(Polys:PolyList, OI:PolyList, Epsilon:Number):A:Number;

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. Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.

Checks if a set of polynomials is an approximate border basis with respect to an order ideal.

  • @param Polys A list of polynomials.

  • @param OI A list containing the order ideal.

  • @param Epsilon Rational number

  • @return A number A which specifies how close the Polys are to the border basis scheme

Example

Res := Num.AVI([[1,1],[0,1]],0);
Num.IsAppBB(Res[1],Res[2],0.1);
-- CoCoAServer: computing Cpu Time = 0.031
-------------------------------
-- CoCoAServer: computing Cpu Time = 0
-------------------------------
0
-------------------------------

See also

Introduction to CoCoAServer