ApCoCoA-1:Num.EigenValues

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 of B's columns describes 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

Introduction to CoCoAServer

Numerical.QR

Numerical.SVD

Numerical.EigenValuesAndVectors

Numerical.EigenValuesAndAllVectors