Difference between revisions of "ApCoCoA-1:Num.IsAVI"
From ApCoCoAWiki
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<command> | <command> | ||
<title>Num.IsAVI</title> | <title>Num.IsAVI</title> | ||
| − | <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:LIST, Points:MAT, Epsilon:RAT):[A:INT or RAT,B:INT or RAT]; | Num.IsAVI(Polys:LIST, Points:MAT, Epsilon:RAT):[A:INT or RAT,B:INT or RAT]; | ||
| Line 34: | Line 34: | ||
<key>Num.IsAvi</key> | <key>Num.IsAvi</key> | ||
<key>IsAvi</key> | <key>IsAvi</key> | ||
| + | <key>numerical.isavi</key> | ||
<wiki-category>Package_numerical</wiki-category> | <wiki-category>Package_numerical</wiki-category> | ||
</command> | </command> | ||
Revision as of 11:55, 24 April 2009
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.
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
