Difference between revisions of "ApCoCoA-1:Num.IsAVI"
From ApCoCoAWiki
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<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: | + | Num.IsAVI(Polys:LIST, Points:MAT, Epsilon:RAT):[A:INT,B:INT]; |
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | + | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | |
| − | + | <par/> | |
Checks if a set of polynomials vanishes at a set of points epsilon approximately. The polynomials are preprocessed first to have norm 1. | Checks if a set of polynomials vanishes at a set of points epsilon approximately. The polynomials are preprocessed first to have norm 1. | ||
<itemize> | <itemize> | ||
| Line 29: | Line 29: | ||
<types> | <types> | ||
<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
| + | <type>polynomial</type> | ||
| + | <type>points</type> | ||
</types> | </types> | ||
| − | |||
<key>Num.IsAvi</key> | <key>Num.IsAvi</key> | ||
<key>IsAvi</key> | <key>IsAvi</key> | ||
<wiki-category>Package_numerical</wiki-category> | <wiki-category>Package_numerical</wiki-category> | ||
</command> | </command> | ||
Revision as of 16:37, 23 April 2009
Numerical.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,B:INT];
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
