ApCoCoA-1:Num.IsAVI

This article is about a function from ApCoCoA-1.

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];
Dec(Num.IsAVI([x+1,x^2],[[0]],0.1),3);
-- CoCoAServer: computing Cpu Time = 0
-------------------------------
["0.353", "0.707"]
-------------------------------

See also

Introduction to CoCoAServer