Difference between revisions of "ApCoCoA1:Num.EigenValues"
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Revision as of 16:01, 22 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
Use P::=QQ[x,y,z]; 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