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

From ApCoCoAWiki

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<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. | ||

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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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<wiki-category>Package_numerical</wiki-category> | <wiki-category>Package_numerical</wiki-category> | ||

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## Revision as of 16:12, 14 October 2009

## 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