Convergence of two-stage iterative methods using incomplete factorization

New family of Two-Parameters Iterative Methods for Non-Linear Equations with Fourth-Order Convergence

Convergence of iterative methods applied to Burgers-Huxley equation

Convergence of Two-Stage Iterative Methods for Hermitian Positive Definite Matrices

Two-stage iterative methods for the solution of linear systems are studied. Convergence of both stationary and nonstationary cases is analyzed when the coefficient matrix is Hermitian positive definite. Keywords—Linear systems, Hermitian matrices, Positive definite matrices, Iterative methods, Nonstationary methods, Two-stage methods.

Weak Convergence of Mann Iterative Algorithm for two Nonexpansive mappings

The mann fixed point algorithm play an importmant role in the approximation of fixed points of nonexpansive operators. In this paper, by considering new conditions, we prove the weak convergence of mann fixed point algorithm, for finding a common fixed point of two nonexpansive mappings in real Hilbert spaces. This results extend the privious results given by Kanzow and Shehu. Finally, we give ...

Convergence of the Iterative Methods

In a previous paper, we introduced a coordinate-splitting (CS) form of the equations of motion for multibody systems which together with a modiied nonlinear iteration (CM), is particularly eeective in the solution of certain nonlinear highly oscillatory systems. In this paper, we examine the convergence of the CS and CM iterations and explain the improved convergence of the CM iteration. An exa...