An asynchronous parallel mixed algorithm for linear and nonlinear equations

Abstract In this paper we propose an asynchronous parallel mixed algorithm for solving linear and nonlinear equations. This algorithm can be used not only on serial and parallel computers, but also on MIMD multiprocessor systems. The convergence of the algorithm has been proved under certain conditions. This paper gives some special cases of the algorithm which are known to us as efficient iterative methods. Numerical experiments are given to illustrate the method.