Difference between revisions of "ApCoCoA-1:Num.EigenValues"
From ApCoCoAWiki
| Line 1: | Line 1: | ||
<command> | <command> | ||
<title>Num.EigenValues</title> | <title>Num.EigenValues</title> | ||
| − | <short_description>Computes the eigenvalues of a matrix</short_description> | + | <short_description>Computes the eigenvalues of a matrix.</short_description> |
<syntax> | <syntax> | ||
| − | Num.EigenValues(A: | + | Num.EigenValues(A:MAT):MAT |
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | + | <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. | |
| + | <par/> | ||
| + | This function computes the approximate complex eigenvalues of the matrix A. | ||
| − | + | <itemize> | |
| − | The | + | <item>@param <em>A</em> A squared matrix with rational entries.</item> |
| − | + | <item>@return The return value is a matrix with two rows. Each column represents one approximate complex eigenvalue of A, i.e. the first entry of a column is the real part and the second entry of the same column is the imaginary part of one complex eigenvalue.</item> | |
| + | </itemize> | ||
| + | |||
<example> | <example> | ||
Revision as of 15:13, 20 April 2009
Num.EigenValues
Computes the eigenvalues of a matrix.
Syntax
Num.EigenValues(A:MAT):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.
This function computes the approximate complex eigenvalues of the matrix A.
@param A A squared matrix with rational entries.
@return The return value is a matrix with two rows. Each column represents one approximate complex eigenvalue of A, i.e. the first entry of a column is the real part and the second entry of the same column is the imaginary part of one complex eigenvalue.
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
