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- MatrixXcf A = MatrixXcf::Random(4,4);
- cout << "Here is a random 4x4 matrix, A:" << endl << A << endl << endl;
- ComplexEigenSolver<MatrixXcf> ces;
- ces.compute(A);
- cout << "The eigenvalues of A are:" << endl << ces.eigenvalues() << endl;
- cout << "The matrix of eigenvectors, V, is:" << endl << ces.eigenvectors() << endl << endl;
- complex<float> lambda = ces.eigenvalues()[0];
- cout << "Consider the first eigenvalue, lambda = " << lambda << endl;
- VectorXcf v = ces.eigenvectors().col(0);
- cout << "If v is the corresponding eigenvector, then lambda * v = " << endl << lambda * v << endl;
- cout << "... and A * v = " << endl << A * v << endl << endl;
- cout << "Finally, V * D * V^(-1) = " << endl
- << ces.eigenvectors() * ces.eigenvalues().asDiagonal() * ces.eigenvectors().inverse() << endl;
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