Parallel Multisplitting AOR method for solving a class of system of nonlinear algebraic equations

Abstract

A class of parallel, multisplitting accelerated overrelaxation (AOR) method is set up for solving large-scale system of nonlinear algebraic equations Aϕ(x)+Bψ(x)=b. Under certain conditions, we prove the existence and uniqueness of the solution of this system of nonlinear equations and set up the global convergence theory of the new method.