A Newton two-stage waveform relaxation method for solving systems of nonlinear algebraic equations

Davod Khojasteh Salkuyeh; Zeinab Hassanzadeh

Vol. 20 No. 1 (2015)

Regular Articles

A Newton two-stage waveform relaxation method for solving systems of nonlinear algebraic equations

Published 2015-02-10

Davod Khojasteh Salkuyeh
Zeinab Hassanzadeh

Davod Khojasteh Salkuyeh
University of Guilan

Zeinab Hassanzadeh
University of Guilan

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Abstract

In this paper, a Newton two-stage waveform relaxation method is introduced to solve systems of nonlinear algebraic equations. The proposed method is derived from the Newton waveform relaxation method by adding further splitting function and inner iterations. Sufficient conditions for the convergence of the method have been provided. Some numerical examples are given to show the effectiveness of the presented method and to compare with two available methods.

Keywords

Two-stage, Waveform relaxation method, Newton method, Nonlinear algebraic equations, Splitting function, Inner/outer iterations.

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Supplementary File(s)

Latex file Ex1Fig1 Ex1Fig2 Ex2Fig1 Ex2Fig2 Ex3Fig1

Author Biography

Davod Khojasteh Salkuyeh

Department of Mathematics

PhD, Associate professor.

Zeinab Hassanzadeh

Department of Mathematics

PhD student.