ApCoCoA-1:Num.AppKer: Difference between revisions
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<command> | <command> | ||
<title>AppKer</title> | <title>Num.AppKer</title> | ||
<short_description>Calculates the approximate kernel of a matrix.</short_description> | <short_description>Calculates the approximate kernel of a matrix.</short_description> | ||
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<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. | <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/> | |||
Calculates the approximate Kernel of a <tt>Matrix</tt> with respect to the residual error <tt>Epsilon</tt>. | Calculates the approximate Kernel of a <tt>Matrix</tt> with respect to the residual error <tt>Epsilon</tt>. | ||
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------------------------------- | ------------------------------- | ||
Mat([ | Mat([ | ||
[ | ["-0.408", "0.816", "-0.408"] | ||
]) | ]) | ||
------------------------------- | ------------------------------- | ||
Mat([ | Mat([ | ||
[ | ["-0.000"], | ||
[ | ["0.000"], | ||
[ | ["0.000"] | ||
]) | ]) | ||
------------------------------- | ------------------------------- | ||
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<seealso> | <seealso> | ||
<see>Num.SVD</see> | <see>ApCoCoA-1:Num.SVD|Num.SVD</see> | ||
</seealso> | </seealso> | ||
<key>AppKer</key> | <key>AppKer</key> | ||
<key>Num.AppKer</key> | |||
<key>numerical.AppKer</key> | |||
<wiki-category>Package_numerical</wiki-category> | <wiki-category>ApCoCoA-1:Package_numerical</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 13:46, 29 October 2020
| This article is about a function from ApCoCoA-1. |
Num.AppKer
Calculates the approximate kernel of a matrix.
Syntax
Num.AppKer(Matrix:MAT, Epsilon:RAT):MAT
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.
Calculates the approximate Kernel of a Matrix with respect to the residual error Epsilon.
@param Matrix A rational matrix.
@param Epsilon The target residual error.
@return The approximate kernel.
Example
M := Mat([[1,2,3],[4,5,6],[7,8,9]]); AppKer := Num.AppKer(M,0.01); Dec(AppKer,3); Dec(M * Transposed(AppKer),3); -- CoCoAServer: computing Cpu Time = 0.016 ------------------------------- Mat([ ["-0.408", "0.816", "-0.408"] ]) ------------------------------- Mat([ ["-0.000"], ["0.000"], ["0.000"] ]) -------------------------------
See also
