Difference between revisions of "ApCoCoA-1:Num.EigenValues"
From ApCoCoAWiki
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<command> | <command> | ||
| − | <title> | + | <title>Num.EigenValues</title> |
| − | <short_description>eigenvalues of a matrix</short_description> | + | <short_description>Computes the eigenvalues of a matrix</short_description> |
<syntax> | <syntax> | ||
| − | + | Num.EigenValues(A:Matrix):[B:Matrix] | |
</syntax> | </syntax> | ||
<description> | <description> | ||
| Line 9: | Line 9: | ||
This function returns a matrix, containing numerical approximation to A's eigenvalues. | This function returns a matrix, containing numerical approximation to A's eigenvalues. | ||
| − | + | The input matrix A has to be quadratic! | |
| − | + | The output contains a matrix B. Each B's columns describe one of the eigenvalues of A. The first row of B contains the real part of the eigenvalues, the second row the imaginary ones. | |
| − | The output contains a matrix B. Each | ||
<example> | <example> | ||
A:=Mat([[1,2,7,18],[2,4,9,12],[23,8,9,10],[7,5,3,2]]); | A:=Mat([[1,2,7,18],[2,4,9,12],[23,8,9,10],[7,5,3,2]]); | ||
| − | + | Dec(Num.EigenValues(A),3); | |
| − | -- CoCoAServer: computing Cpu Time = 0. | + | -- CoCoAServer: computing Cpu Time = 0.015 |
------------------------------- | ------------------------------- | ||
Mat([ | Mat([ | ||
| − | [ | + | ["28.970", "-13.677", "0.353", "0.353"], |
| − | [0, 0, | + | ["0", "0", "3.051", "-3.051"] |
]) | ]) | ||
------------------------------- | ------------------------------- | ||
| + | |||
</example> | </example> | ||
</description> | </description> | ||
| Line 35: | Line 35: | ||
<type>cocoaserver</type> | <type>cocoaserver</type> | ||
</types> | </types> | ||
| − | <key> | + | <key>Num.EigenValues</key> |
| − | <key> | + | <key>EigenValues</key> |
<wiki-category>Package_Numerical</wiki-category> | <wiki-category>Package_Numerical</wiki-category> | ||
</command> | </command> | ||
Revision as of 13:39, 30 March 2009
Num.EigenValues
Computes the eigenvalues of a matrix
Syntax
Num.EigenValues(A:Matrix):[B:Matrix]
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. Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.
This function returns a matrix, containing numerical approximation to A's eigenvalues.
The input matrix A has to be quadratic!
The output contains a matrix B. Each B's columns describe one of the eigenvalues of A. The first row of B contains the real part of the eigenvalues, the second row the imaginary ones.
Example
A:=Mat([[1,2,7,18],[2,4,9,12],[23,8,9,10],[7,5,3,2]]); Dec(Num.EigenValues(A),3); -- CoCoAServer: computing Cpu Time = 0.015 ------------------------------- Mat([ ["28.970", "-13.677", "0.353", "0.353"], ["0", "0", "3.051", "-3.051"] ]) -------------------------------
See also
Numerical.EigenValuesAndVectors
Numerical.EigenValuesAndAllVectors
