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Checks if a given set of polynomials vanishes at a given set of points.
Num.IsAVI(Polys:LIST, Points:MAT, Epsilon:RAT):[A:INT or RAT,B:INT or RAT];
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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
Use P::=Q[x,y,z];
Dec(Num.IsAVI([x+1,x^2],[[0]],0.1),3);
-- CoCoAServer: computing Cpu Time = 0
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["0.353", "0.707"]
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