Difference between revisions of "ApCoCoA-1:Num.IsAVI"
From ApCoCoAWiki
m (ApCoCoA:Numerical.IsAVI moved to ApCoCoA:Num.IsAVI) |
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<short_description>Checks if a given set of polynomials vanishes at a given set of points</short_description> | <short_description>Checks if a given set of polynomials vanishes at a given set of points</short_description> | ||
<syntax> | <syntax> | ||
| − | Num.IsAVI(Polys:PolyList, Points:Matrix, Epsilon: | + | Num.IsAVI(Polys:PolyList, Points:Matrix, Epsilon:Rat):[A:Number,B:Number]; |
</syntax> | </syntax> | ||
<description> | <description> | ||
| Line 9: | Line 9: | ||
Checks if a set of polynomials vanishes at a set of points epsilon approximately. The polynomials are preprocessed first to have norm 1. | Checks if a set of polynomials vanishes at a set of points epsilon approximately. The polynomials are preprocessed first to have norm 1. | ||
| − | + | <itemize> | |
| + | <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>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> | ||
| + | </itemize> | ||
<example> | <example> | ||
Revision as of 16:23, 22 April 2009
Numerical.IsAVI
Checks if a given set of polynomials vanishes at a given set of points
Syntax
Num.IsAVI(Polys:PolyList, Points:Matrix, Epsilon:Rat):[A:Number,B: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 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
Num.IsAVI([x[1]+1,x[1]^2],[[0]],0.1); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [1/2, 1] -------------------------------
See also
