Difference between revisions of "ApCoCoA-1:Num.RatPoints"
From ApCoCoAWiki
| Line 1: | Line 1: | ||
<command> | <command> | ||
<title>Num.RatPoints</title> | <title>Num.RatPoints</title> | ||
| − | <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. | + | 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 | + | <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
