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 phi(x) + T psi(x) = b, with A, T epsilon L(R-n) being matrices having particular properties, phi,psi : R-n --> R-n being diagonal and continuous mappings, and b epsilon R-n a known vector, and their global convergence and asymptotic convergence rates are investigated in detail under some reasonable conditions. (C) 2000 Elsevier Science Ltd. All rights reserved.
system of nonlinear algebraic equations global convergence matrix multisplitting asynchronous iteration