Difference between revisions of "ApCoCoA1:Num.IsAVI"
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Revision as of 16:02, 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:Number):[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.
The function returns a number A which specifies how well the points vanish on average and the number B 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