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Mathematical Communications, Vol. 20 No. 1, 2015.

Original scientific paper

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

Davod Khojasteh Salkuyeh ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran
Zeinab Hassanzadeh ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran

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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

Hrčak ID:

140383

URI

https://hrcak.srce.hr/140383

Publication date:

1.7.2015.

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