Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 821928, 13 pages
doi:10.1155/2010/821928

Nonexpansive matrices with applications to solutions of linear systems by fixed point iterations

Abstract

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.