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

Subject Areas : Non linear Programming

Abubakar Halilu ¹ , Aliyu kiri ² , Mohammed Waziri ³

1 - Sule Lamido University, Kafin Hausa
2 - Department of Mathematics, Bayero University, Kano
3 - Department of Mathematics, Bayero University, Kano

Received: 2021-12-15 Accepted : 2022-07-06 Published : 2022-03-01

Keywords: Acceleration parameter, Jacobian matrix, Double direction method, Picard-Mann process,

Abstract :

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.

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