Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions

    Ioannis K. Argyros Info
    Santhosh George Info

Abstract

We present a local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Earlier studies cannot be used to solve equations using such methods. The convergence ball and error estimates are given for these methods. Numerical examples are also provided in this study.

Keywords:

multi-point methods, Banach space, convergence ball, local convergence, Jarratt-type methods

How to Cite

Argyros, I. K., & George, S. (2017). Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions. Mathematical Modelling and Analysis, 22(2), 228-236. https://doi.org/10.3846/13926292.2017.1291455

Share

Published in Issue
March 18, 2017
Abstract Views
552

View article in other formats

CrossMark check

CrossMark logo

Published

2017-03-18

Issue

Section

Articles

How to Cite

Argyros, I. K., & George, S. (2017). Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions. Mathematical Modelling and Analysis, 22(2), 228-236. https://doi.org/10.3846/13926292.2017.1291455

Share