Title of article
A new approach for solving nonlinear system of equations using Newton method and HAM
Author/Authors
Izadian، Jalal نويسنده Islamic Azad University , , Abrishami، Reza نويسنده Islamic Azad University , , Jalili، Maryam نويسنده Private Practice, Tehran, Iran ,
Issue Information
دوفصلنامه با شماره پیاپی 0 سال 2014
Pages
16
From page
57
To page
72
Abstract
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 the efficiency and the performance of proposed approach. The comparison with conventional homotopy method, Newton Method and HAM shows the great freedom of selecting the initial guess, in this approach.
Journal title
Iranian Journal of Numerical Analysis and Optimization
Serial Year
2014
Journal title
Iranian Journal of Numerical Analysis and Optimization
Record number
1655323
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