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

From ApCoCoAWiki
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   <command>
 
   <command>
 
     <title>Num.RatPoints</title>
 
     <title>Num.RatPoints</title>
     <short_description>Calculates a set of points which are the zeros of an exact border basis, which is close to AppBB.</short_description>
+
     <short_description>Computes a set of points which are the zeros of an exact border basis, which is close to AppBB.</short_description>
 
<syntax>
 
<syntax>
Num.RatPoints(AppBB:LIST, OrderIdeal:LIST)):[MAT];
+
Num.RatPoints(AppBB:LIST, OrderIdeal:LIST)):[MAT]
 
</syntax>
 
</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.
 
<par/>
 
<par/>
Calculates a set of points which are the zeros of an exact border basis which is close to AppBB. Uses the eigenvalue methode.
+
Calculates a set of points which are the zeros of an exact border basis which is close to AppBB. Thereby the function uses the eigenvalue method.
  
 
<itemize>
 
<itemize>
 
<item>@param <em>AppBB</em> An approximate border basis.</item>
 
<item>@param <em>AppBB</em> An approximate border basis.</item>
<item>@param <em>Points</em> The asscoiated order ideal</item>
+
<item>@param <em>Points</em> The associated order ideal</item>
 
<item>@return A set of points in matrix form.</item>
 
<item>@return A set of points in matrix form.</item>
 
</itemize>
 
</itemize>

Revision as of 14:26, 28 April 2009

Num.RatPoints

Computes a set of points which are the zeros of an exact border basis, which is close to AppBB.

Syntax

Num.RatPoints(AppBB:LIST, OrderIdeal:LIST)):[MAT]

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.

Calculates a set of points which are the zeros of an exact border basis which is close to AppBB. Thereby the function uses the eigenvalue method.

  • @param AppBB An approximate border basis.

  • @param Points The associated order ideal

  • @return A set of points in matrix form.

Example

Use P::=QQ[x,y,z];

Points := Mat([[2/3,0,0],[0,1,0],[0,0,1/3]]);
R:=Num.SubAVI(Points, 0.001, [1]);
Dec(Num.RatPoints(R[1],R[2]),2);

-- CoCoAServer: computing Cpu Time = 0
-------------------------------
-- CoCoAServer: computing Cpu Time = 0
-------------------------------
[Mat([
  [<quotes>0.66</quotes>, <quotes>0.00</quotes>, <quotes>-0.00</quotes>],
  [<quotes>0</quotes>, <quotes>0</quotes>, <quotes>1.00</quotes>],
  [<quotes>0</quotes>, <quotes>0.33</quotes>, <quotes>0</quotes>]
]), Mat([
  [<quotes>0</quotes>, <quotes>0</quotes>, <quotes>0</quotes>],
  [<quotes>0</quotes>, <quotes>0</quotes>, <quotes>0</quotes>],
  [<quotes>0</quotes>, <quotes>0</quotes>, <quotes>0</quotes>]
])]
-------------------------------

See also

Introduction to CoCoAServer