Nonexpansive Matrices with Applications to Solutions of Linear Systems by Fixed Point Iterations
Department of Mathematical Sciences, George Mason University, 4400, University Drive, Fairfax, VA 22030, USA
Fixed Point Theory and Applications 2010, 2010:821928 doi:10.1155/2010/821928Published: 25 October 2009
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.