Solution of block Toeplitz equations by matrix iterative methods

Summary form only given. An algorithm for the solution of block matrix equations has been developed, using some well-known matrix iterative techniques. The algorithm requires fewer computations than the direct matrix inversion methods and is very simple to implement. The problem of solving block matrix equations of the Toeplitz form arises in several areas of signal processing such as array processing, optimal filtering, and spectral estimation of two-dimensional signals with both quarter-plane and asymmetric half-plane supports, and in one- and two-dimensional multichannel spectral estimation. Efficient solution methods for these equations are of considerable interest