Investigations in the numerical behavior of the adaptive rank-revealing QR factorization

We present a tracking procedure based on the rank-revealing QR (RRQR) factorization and investigate its numerical properties by applying it to the direction-of-arrival problem. We address numerical issues raised by the related work proposed earlier by Prasad et al. (1991), and we compare the performance of the proposed algorithm to that obtained using an EVD-based technique.