\input zb-basic \input zb-ioport \iteman{io-port 03848494} \itemau{K\'atai, I.; Rahmy, E.} \itemti{Computation of the eigensystem of Toeplitz band matrices.} \itemso{Ann. Univ. Sci. Budap. Rolando E\"otv\"os, Sect. Comput. 1, 3-7 (1978).} \itemab The authors continue their studies on developing methods for computing the eigensystem of banded Toeplitz matrices [cf. ibid. 1, 9-33 (1978; reviewed below)]. The method uses solutions of certain difference equations. \itemrv{B.N.Datta} \itemcc{} \itemut{eigensystem; banded Toeplitz matrices; difference equations} \itemli{} \end