SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research Article

Nonexpansive Matrices with Applications to Solutions of Linear Systems by Fixed Point Iterations

Teck-Cheong Lim

Author Affiliations

Department of Mathematical Sciences, George Mason University, 4400, University Drive, Fairfax, VA 22030, USA

Fixed Point Theory and Applications 2010, 2010:821928  doi:10.1155/2010/821928

Published: 25 October 2009

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.