A new restarting method in the harmonic projection algorithm for computing the eigenvalues of a nonsymmetric matrix

However, it has been shown that the harmonic projection method may converge erratically and even may fail to do so. In this paper, we present a new restarting method in the harmonic projection algorithm for computing the eigenvalues of a nonsymmetric matrix. The implementation of the algorithm has been tested by numerical examples, the results show that the algorithm converges fast and works with high accuracy.