A Nonstationary Halley’s Iteration Method by Using Divided Differences Formula

Nasr Al Din Ide

doi:10.4236/am.2012.32026

Abstract

This paper presents a new nonstationary iterative method for solving non linear algebraic equations that does not require the use of any derivative. The study uses only the Newton’s divided differences of first and second orders instead of the derivatives of (1).

Highlights

In order to solve the nonlinear algebraic equations of the form. f x 0 (1)where f(x) is a known function
This paper presents a new nonstationary iterative method for solving non linear algebraic equations that does not require the use of any derivative
We suggest a new iterative method for

Summary

Introduction

In order to solve the nonlinear algebraic equations of the form. f x 0 (1)where f(x) is a known function. This paper presents a new nonstationary iterative method for solving non linear algebraic equations that does not require the use of any derivative. The study uses only the Newton’s divided differences of first and second orders instead of the derivatives of (1).

Results

Conclusion