1 Matrix4f A = MatrixXf::Random(4,4);
2 cout << "Here is a random 4x4 matrix:" << endl << A << endl;
3 HessenbergDecomposition<MatrixXf> hessOfA(A);
4 MatrixXf H = hessOfA.matrixH();
5 cout << "The Hessenberg matrix H is:" << endl << H << endl;
6 MatrixXf Q = hessOfA.matrixQ();
7 cout << "The orthogonal matrix Q is:" << endl << Q << endl;
8 cout << "Q H Q^T is:" << endl << Q * H * Q.transpose() << endl;
9