Difference between revisions of "ApCoCoA-1:Num.IsAVI"
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<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/> | ||
| − | + | This command checks if a set of polynomials vanishes at a set of points <tt>Epsilon</tt> approximately. The polynomials are preprocessed first to have norm 1. | |
<itemize> | <itemize> | ||
<item>@param <em>Polys</em> A list of polynomials.</item> | <item>@param <em>Polys</em> A list of polynomials.</item> | ||
<item>@param <em>Points</em> A matrix containing the points to check.</item> | <item>@param <em>Points</em> A matrix containing the points to check.</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 well the points vanish on average and a number B which contains the maximal evaluation value</item> | + | <item>@return A number <tt>A</tt> which specifies how well the points vanish on average and a number <tt>B</tt> which contains the maximal evaluation value</item> |
</itemize> | </itemize> | ||
Revision as of 09:17, 8 July 2009
Num.IsAVI
Checks if a given set of polynomials vanishes at a given set of points.
Syntax
Num.IsAVI(Polys:LIST, Points:MAT, Epsilon:RAT):[A:INT or RAT,B:INT or 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.
This command checks if a set of polynomials vanishes at a set of points Epsilon approximately. The polynomials are preprocessed first to have norm 1.
@param Polys A list of polynomials.
@param Points A matrix containing the points to check.
@param Epsilon Rational number
@return A number A which specifies how well the points vanish on average and a number B which contains the maximal evaluation value
Example
Use P::=Q[x,y,z]; Num.IsAVI([x+1,x^2],[[0]],0.1); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [1/2, 1] -------------------------------
See also
