Ceneralized consistent orderings and the accelerated overrelaxation methodCeneralized consistent orderings and the accelerated overrelaxation method Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-161986enIn this paper, the behavior of the block Accelerated Overrelaxation (AOR) iterative method, when applied to linear systems with a generalized consistently ordered coefficient matrix, is investigated. An equation, relating the eigenvalues of the block Jacobi iteration matrix to the eigenvalues of its associated block AOR iteration matrix, as well as sufficient conditions for the convergence of the block AOR method, are obtained.http://creativecommons.org/licenses/by/4.0/BIT Numerical Mathematics326369-376 Saridakis Ioannis Σαριδακης Ιωαννης Kluwer