Difference between revisions of "ApCoCoA-1:Num.AppKer"

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{{Version|1}}
 
<command>
 
<command>
<title>AppKer</title>
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<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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-------------------------------
 
-------------------------------
 
Mat([
 
Mat([
   [<quotes>-0.408</quotes>, <quotes>0.816</quotes>, <quotes>-0.408</quotes>]
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   ["-0.408", "0.816", "-0.408"]
 
])
 
])
 
-------------------------------
 
-------------------------------
 
Mat([
 
Mat([
   [<quotes>-0.000</quotes>],
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   ["-0.000"],
   [<quotes>0.000</quotes>],
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   ["0.000"],
   [<quotes>0.000</quotes>]
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   ["0.000"]
 
])
 
])
 
-------------------------------
 
-------------------------------
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<seealso>
 
<seealso>
  <see>Num.SVD</see>
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  <see>ApCoCoA-1:Num.SVD|Num.SVD</see>
 
</seealso>
 
</seealso>
  
 
<key>AppKer</key>
 
<key>AppKer</key>
 
<key>Num.AppKer</key>
 
<key>Num.AppKer</key>
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<key>numerical.AppKer</key>
  
<wiki-category>Package_numerical</wiki-category>
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<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

Num.SVD