Nonlinear Difference Equations and Gauss-Seidel Type Iterative Methods

Abstract

An important class of methods f o r approximating s o l u t i o n s of non-linear systems of equations are the Gauss-Seidel o r r e l a x a t i o n processes.T h e problem of o b t a i n i n g asymptotic r a t e s of convergence of these methods i s t r e a t e d h e r e by l i n e a r i z a t i o n about a s o l u t i o n of t h e system.T h i s leads t o t h e study of t h e asymptotic