Modified matrix-free methods for solving system of nonlinear equations. (2nd November 2021)

• Record Type: Journal Article
• Authors: Waziri, Mohammed Yusuf; Muhammad, Hadiza Usman; Halilu, Abubakar Sani; Ahmed, Kabiru
• Is Part Of: Optimization. Volume 70:Number 11(2021)
• Page Start: 2321
• Page End: 2340
• Publication Date: 2021-11-02
• Subjects: Derivative-free -- matrix-free -- decent direction -- global convergence -- acceleration parameter -- correction parameter; 65H11 -- 65K05 -- 65H12 -- 65H18; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1778689
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : Some hybrid derivative-free methods for nonlinear system of equations via acceleration and correction parameters are presented. These methods are based on applying the three term hybrid iterative scheme on an enhance matrix free method. The step length was determined using an inexact line search procedure. Moreover, the proposed methods proved to be globally convergent under mild conditions. The comprehensive numerical results presented in this work, show the efficiency of the proposed methods by comparing them with some existing methods in the previous literature.