A new approach for solving nonlinear system of equations using Newton method and HAM

A new approach utilizing Newton Method and Homotopy Analysis Method (HAM) is proposed for solving nonlinear system of equations. Accelerating the rate of convergence of HAM, and obtaining a global quadratic rate of convergence are the main purposes of this approach. The numerical results demonstrate...

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Bibliographic Details
Main Authors: Jalal Izadian, Reza Abrishami, Maryam Jalili
Format: Article
Language:English
Published: Ferdowsi University of Mashhad 2014-11-01
Series:Iranian Journal of Numerical Analysis and Optimization
Subjects:
Online Access:https://ijnao.um.ac.ir/article_24435_a799b8bc98a0f6bcfbb86bf286ec9ca8.pdf