1 MatrixXcf
A = MatrixXcf::Random(4,4);
2 cout <<
"Here is a random 4x4 matrix, A:" << endl <<
A << endl << endl;
4 ComplexEigenSolver<MatrixXcf>
ces;
6 cout <<
"The eigenvalues of A are:" << endl <<
ces.eigenvalues() << endl;
7 cout <<
"The matrix of eigenvectors, V, is:" << endl <<
ces.eigenvectors() << endl << endl;
10 cout <<
"Consider the first eigenvalue, lambda = " <<
lambda << endl;
11 VectorXcf
v =
ces.eigenvectors().col(0);
12 cout <<
"If v is the corresponding eigenvector, then lambda * v = " << endl <<
lambda *
v << endl;
13 cout <<
"... and A * v = " << endl <<
A *
v << endl << endl;
15 cout <<
"Finally, V * D * V^(-1) = " << endl
16 <<
ces.eigenvectors() *
ces.eigenvalues().asDiagonal() *
ces.eigenvectors().inverse() << endl;