ApCoCoA-1:Num.IsAVI

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

Introduction to CoCoAServer