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  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 6, Issue 10, 2018, Page No: 23-27

Improvement of New Eight and Sixteenth Order Iterative Methods for Solving Nonlinear Algebraic Equations by Using Least Square Method

Nasr Al Din IDE

Aleppo University-Faculty of Science-Department of Mathematics, Syria.

Citation :Nasr Al Din IDE, Improvement of New Eight and Sixteenth Order Iterative Methods for Solving Nonlinear Algebraic Equations by Using Least Square MethodInternational Journal of Scientific and Innovative Mathematical Research 2018 , 6(10) :23-27.

Abstract

Finding the roots of nonlinear algebraic equations is an important problem in science and engineering, later many methods developed for solving nonlinear equations. These methods are given [1-24], in this work, we proposed two new higher order iterative methods. These methods based on the method given by Rafiullah [1], 2016, which is Eighth and Sixteenth-order convergence. The Least square method is used to find the present methods. We verified on a number of examples and numerical results obtained show that the present method is faster than the other methods.


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