1 MatrixXf A = MatrixXf::Random(4,4);
2 MatrixXf B = MatrixXf::Random(4,4);
3 RealQZ<MatrixXf> qz(4); // preallocate space for 4x4 matrices
4 qz.compute(A,B);  // A = Q S Z,  B = Q T Z
5 
6 // print original matrices and result of decomposition
7 cout << "A:\n" << A << "\n" << "B:\n" << B << "\n";
8 cout << "S:\n" << qz.matrixS() << "\n" << "T:\n" << qz.matrixT() << "\n";
9 cout << "Q:\n" << qz.matrixQ() << "\n" << "Z:\n" << qz.matrixZ() << "\n";
10 
11 // verify precision
12 cout << "\nErrors:"
13   << "\n|A-QSZ|: " << (A-qz.matrixQ()*qz.matrixS()*qz.matrixZ()).norm()
14   << ", |B-QTZ|: " << (B-qz.matrixQ()*qz.matrixT()*qz.matrixZ()).norm()
15   << "\n|QQ* - I|: " << (qz.matrixQ()*qz.matrixQ().adjoint() - MatrixXf::Identity(4,4)).norm()
16   << ", |ZZ* - I|: " << (qz.matrixZ()*qz.matrixZ().adjoint() - MatrixXf::Identity(4,4)).norm()
17   << "\n";
18