Example: Eigenvalues and Eigenvectors of a Symmetric Matrix

using System;
using Imsl.Math;

public class SymEigenEx1
{
    public static void  Main(String[] args)
    {
        double[,] a = {
            {1, 1, 1},
            {1, 1, 1},
            {1, 1, 1}
        };
        
        SymEigen eigen = new SymEigen(a);
        new PrintMatrix("Eigenvalues").Print(eigen.GetValues());
        new PrintMatrix("Eigenvectors").Print(eigen.GetVectors());
    }
}

Output

       Eigenvalues
             0            
0   3                     
1  -3.53439879482695E-16  
2  -2.22044604925031E-16  

                         Eigenvectors
           0                  1                   2           
0  0.577350269189626   0.816496580927726   0                  
1  0.577350269189626  -0.408248290463863  -0.707106781186547  
2  0.577350269189626  -0.408248290463863   0.707106781186548