Asynchronous multisplitting aor method for a system of nonlinear algebraic equations

Abstract

An asynchronous parallel multisplitting accelerated overrelaxation (AOR) method is set up for the particularly structured system of nonlinear algebraic equations Aφ(x) + Bψ(x) = b, and the global convergence of the new method is proved.

Keywords:

• Matrix multisplitting
• asynchronous parallel method
• relaxation
• H-matrix
• global convergence
• system of nonlinear algebraic equations