\input zb-basic \input zb-ioport \iteman{io-port 00569095} \itemau{Elman, Howard C.; Golub, Gene H.; Starke, Gerhard} \itemti{On the convergence of line iterative methods for cyclically reduced non- symmetrizable linear systems.} \itemso{Numer. Math. 67, No.2, 177-190 (1994).} \itemab Analytic bounds on the convergence factors for block relaxation methods for cyclically reduced non-symmetrizable linear systems are derived. Numerical results are not given. \itemrv{S.Filippi (Gie{\ss}en)} \itemcc{} \itemut{line iterative method; analytic bounds; convergence factors; block relaxation methods; non-symmetrizable linear systems} \itemli{doi:10.1007/s002110050023} \end