A class of asynchronous parallel iterations for the systems of nonlinear algebraic equations

Asynchronous parallel multisplitting nonlinear iterative methods are established for the system of nonlinear algebraic equations A (x) + Tψ(x) = b, with A,T L(Rn) being matrices having particular properties, ,ψ : Rn → Rn being diagonal and continuous mappings, and b Rn a known vector, and their global convergence and asymptotic convergence rates are investigated in detail under some reasonable conditions.