EigenSolver_EigenSolver_MatrixType.cpp revision c981c48f5bc9aefeffc0bcb0cc3934c2fae179dd
1MatrixXd A = MatrixXd::Random(6,6); 2cout << "Here is a random 6x6 matrix, A:" << endl << A << endl << endl; 3 4EigenSolver<MatrixXd> es(A); 5cout << "The eigenvalues of A are:" << endl << es.eigenvalues() << endl; 6cout << "The matrix of eigenvectors, V, is:" << endl << es.eigenvectors() << endl << endl; 7 8complex<double> lambda = es.eigenvalues()[0]; 9cout << "Consider the first eigenvalue, lambda = " << lambda << endl; 10VectorXcd v = es.eigenvectors().col(0); 11cout << "If v is the corresponding eigenvector, then lambda * v = " << endl << lambda * v << endl; 12cout << "... and A * v = " << endl << A.cast<complex<double> >() * v << endl << endl; 13 14MatrixXcd D = es.eigenvalues().asDiagonal(); 15MatrixXcd V = es.eigenvectors(); 16cout << "Finally, V * D * V^(-1) = " << endl << V * D * V.inverse() << endl; 17