sensitive to initial guess: The Power method is highly sensitive to the initial guess, and a poor initial guess can lead to convergence to a non-dominant eigenvalue.
Slow convergence: The Power method converges slowly and may require a large number of iterations to achieve convergence.
Only applicable to finding one eigenvalue at a time: The Power method is limited to finding only one eigenvalue at a time, and the user must repeat the method for each eigenvalue of interest.