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      1 MatrixXcd X = MatrixXcd::Random(4,4);
      2 MatrixXcd A = X + X.adjoint();
      3 cout << "Here is a random self-adjoint 4x4 matrix:" << endl << A << endl << endl;
      4 
      5 Tridiagonalization<MatrixXcd> triOfA(A);
      6 MatrixXd T = triOfA.matrixT();
      7 cout << "The tridiagonal matrix T is:" << endl << T << endl << endl;
      8 
      9 cout << "We can also extract the diagonals of T directly ..." << endl;
     10 VectorXd diag = triOfA.diagonal();
     11 cout << "The diagonal is:" << endl << diag << endl;
     12 VectorXd subdiag = triOfA.subDiagonal();
     13 cout << "The subdiagonal is:" << endl << subdiag << endl;
     14