On the Picard-Mann approach for hybridizing the double direction method for solving a system of nonlinear equations.

Iranian Journal of Optimization

دوره 14، شماره 1، خرداد 2022، صفحه 27-37   

نوع مقاله: Research Paper

نویسندگان

Abubakar Sani Halilu^{* 1}؛ Aliyu Ibrahim kiri²؛ Mohammed Yusuf Waziri³

¹Sule Lamido University, Kafin Hausa

²Department of Mathematics, Bayero University, Kano

³Department of Mathematics, Bayero University, Kano

چکیده

In this article, the improvement of the numerical performance of the iterative scheme presented by Halilu and Waziri in [5] is considered. This is made possible by hybridizing it with Picard-Mann hybrid iterative process. In addition, the step length is calculated using the inexact line search technique. Under the preliminary conditions, the proposed method's global convergence is established. The numerical experiment shown in this paper depicts the efficiency of the proposed method, which improved the results than the double direction method [5], existing in the literature.

کلیدواژه‌ها

Acceleration parameter؛ Jacobian matrix؛ Double direction method؛ Picard-Mann process

مراجع

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