Discrete Dirac type self-adjoint system is equivalent to the block Szeg\"o recurrence. Representation of the fundamental solution is obtained, inverse problems on the interval and semi-axis are solved. A Borg-Marchenko type result is obtained too. Connections with the block Toeplitz matrices are treated.
@article{arxiv.math/0703369,
title = {Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions},
author = {B. Fritzsche and B. Kirstein and I. Ya. Roitberg and A. L. Sakhnovich},
journal= {arXiv preprint arXiv:math/0703369},
year = {2011}
}