ApCoCoA-1:Num.AppKer

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([
  [<quotes>-0.408</quotes>, <quotes>0.816</quotes>, <quotes>-0.408</quotes>]
])
-------------------------------
Mat([
  [<quotes>-0.000</quotes>],
  [<quotes>0.000</quotes>],
  [<quotes>0.000</quotes>]
])
-------------------------------

See also

Num.SVD