code: public static void checkEigenvalues() {
          DoubleMatrix A = new DoubleMatrix(new double[][]{
                      {3.0, 2.0, 0.0},
                      {2.0, 3.0, 2.0},
                      {0.0, 2.0, 3.0}
                  });
  
          DoubleMatrix E = new DoubleMatrix(3, 1);
  
          NativeBlas.dsyev('N', 'U', 3, A.data, 0, 3, E.data, 0);
          check("checking existence of dsyev...", true);
      }
docs: Compute eigenvalues. This is a routine not in ATLAS, but in the original
  LAPACK.