On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
On the convergence of some one step and multistep iterative methods
Abstract Author Ion Păvăloiu Keywords nonlinear equations in R; one step iterative methods; multistep iterative methods; convergence order. References PDF…
Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term
Abstract Authors Ioannis K. Argyros (Cameron University, USA) Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy) Ion Păvăloiu…
Perturbed-Steffensen-Aitken projection methods for solving equations with nondifferentiable operators
Abstract We use perturbed Steffensen-Aitken methods to approximate a locally unique solution of an operator equation in a Banach space. Using…
On the approximate solutions of implicit functions using the Steffensen method
Abstract We use inexact Steffensen-Aitken-type methods to approximate implicit functions in a Banach space. Using a projection operator our equation reduces to…
On an Aitken-Newton type method
Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…
On a Newton-Steffensen type method
Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…
On a robust Aitken-Newton method based on the Hermite polynomial
Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…
Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three
Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…
A unified treatment of the modified Newton and chord methods
Abstract The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions…