Estimates for convergence rate of nested iterative methods

摘要

Nested iterative methods were designed for parallel computation. In this article we consider the convergence rate of Nested iterative methods. Estimates for R1 - factor of stationary and non-stationary nested iterative methods are obtained. The results we presented reveal the way that the numbers of inner iterations, together with the R1 - factors of inner and outer iterative methods influence on the convergence rate of nested iterative methods, and can be used to select the approximately optimal number of inner iterations.