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

From ApCoCoAWiki
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     <short_description>Checks if a given set of polynomials is an approximate border basis.</short_description>
 
     <short_description>Checks if a given set of polynomials is an approximate border basis.</short_description>
 
<syntax>
 
<syntax>
Num.IsAppBB(Polys:PolyList, OI:PolyList, Epsilon:Number):A:Number;
+
Num.IsAppBB(Polys:LIST, OI:LIST, Epsilon:RAT):RAT;
 
</syntax>
 
</syntax>
 
     <description>
 
     <description>
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<item>@param <em>OI</em> A list containing the order ideal.</item>
 
<item>@param <em>OI</em> A list containing the order ideal.</item>
 
<item>@param <em>Epsilon</em> Rational number</item>
 
<item>@param <em>Epsilon</em> Rational number</item>
<item>@return A number A which specifies how close the Polys are to an exact border basis</item>
+
<item>@return A number which specifies how close the Polys are to an exact border basis</item>
 
</itemize>
 
</itemize>
  
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     <types>
 
     <types>
 
       <type>apcocoaserver</type>
 
       <type>apcocoaserver</type>
 +
      <type>polynomial</type>
 
     </types>
 
     </types>
    <key>numerical.IsAppBB</key>
 
 
     <key>Num.IsAppBB</key>
 
     <key>Num.IsAppBB</key>
 
     <key>IsAppBB</key>
 
     <key>IsAppBB</key>
 
     <wiki-category>Package_numerical</wiki-category>
 
     <wiki-category>Package_numerical</wiki-category>
 
   </command>
 
   </command>

Revision as of 16:42, 23 April 2009

Numerical.IsAppBB

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

Syntax

Num.IsAppBB(Polys:LIST, OI:LIST, Epsilon:RAT):RAT;

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 which specifies how close the Polys are to an exact border basis

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