18 lines
819 B
C++
18 lines
819 B
C++
|
MatrixXf A = MatrixXf::Random(4,4);
|
||
|
|
MatrixXf B = MatrixXf::Random(4,4);
|
||
|
|
RealQZ<MatrixXf> qz(4); // preallocate space for 4x4 matrices
|
||
|
|
qz.compute(A,B); // A = Q S Z, B = Q T Z
|
||
|
|
|
||
|
|
// print original matrices and result of decomposition
|
||
|
|
cout << "A:\n" << A << "\n" << "B:\n" << B << "\n";
|
||
|
|
cout << "S:\n" << qz.matrixS() << "\n" << "T:\n" << qz.matrixT() << "\n";
|
||
|
|
cout << "Q:\n" << qz.matrixQ() << "\n" << "Z:\n" << qz.matrixZ() << "\n";
|
||
|
|
|
||
|
|
// verify precision
|
||
|
|
cout << "\nErrors:"
|
||
|
|
<< "\n|A-QSZ|: " << (A-qz.matrixQ()*qz.matrixS()*qz.matrixZ()).norm()
|
||
|
|
<< ", |B-QTZ|: " << (B-qz.matrixQ()*qz.matrixT()*qz.matrixZ()).norm()
|
||
|
|
<< "\n|QQ* - I|: " << (qz.matrixQ()*qz.matrixQ().adjoint() - MatrixXf::Identity(4,4)).norm()
|
||
|
|
<< ", |ZZ* - I|: " << (qz.matrixZ()*qz.matrixZ().adjoint() - MatrixXf::Identity(4,4)).norm()
|
||
|
|
<< "\n";
|