A family of hybrid derivative-free methods via acceleration parameter for solving system of nonlinear equations-Reference-Cited by-同舟云学术

A family of hybrid derivative-free methods via acceleration parameter for solving system of nonlinear equations

Published:2023 Issue:5 Volume:37 Page:1461-1478
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Waziri Mohammed¹,Muhammad Hadiza¹,Halilu Abubakar²,Ahmed Kabiru¹

Affiliation:

1. Department of Mathematical Sciences, Bayero University, Kano, Nigeria + Numerical Optimization Research Group, Department of Mathematical Sciences, Bayero University, Kano, Nigeria

2. Department of Mathematics, Sule Lamido University, Kafin Hausa, Nigeria + Numerical Optimization Research Group, Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abstract

In this paper, we present some derivative-free methods for solving system of nonlinear equations based on approximating the Jacobian matrix via acceleration and correction parameters. Furthermore, we compute the step length using inexact line search procedure. Under appropriate conditions, we proved that the proposed methods are globally. We also present some numerical results to show the efficiency of the proposed methods by comparing them with some existing derivative-free methods in the recent literature.

Publisher

National Library of Serbia

Subject

General Mathematics

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