Department of Mathematical Sciences, George Mason University, 4400, University Drive, Fairfax, VA 22030, USA
Academic Editor: Mohamed A. Khamsi
Copyright © 2010 Teck-Cheong Lim. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We characterize (i) matrices which are nonexpansive with respect to some matrix norms, and (ii) matrices whose average iterates approach zero or are bounded. Then we apply these results to iterative solutions of a system of linear equations.