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

From ApCoCoAWiki
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<command>
 
<command>
 
<title>AppKer</title>
 
<title>AppKer</title>
<short_description>Map.</short_description>
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<short_description>Calculates the approximate kernel of a matrix.</short_description>
  
 
<syntax>
 
<syntax>

Revision as of 13:45, 7 October 2009

AppKer

Calculates the approximate kernel of a matrix.

Syntax

Num.AppKer(Matrix:MAT, Epsilon:RAT):MAT

Description

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