Hybrid derivative-free methods for solving system of nonlinear equations

被引：0

作者：

Waziri, Mohammed Yusuf ^{[1
,4
]}

Muhammad, Hadiza Usman ^{[1
,4
]}

Halilu, Abubakar Sani ^{[2
,4
]}

Ahmed, Kabiru ^{[1
,4
]}

Murtala, Salisu ^{[3
]}

机构：

[1] Bayero Univ, Dept Math Sci, Kano, Nigeria

[2] Sule Lamido Univ, Dept Math, Kafin Hausa, Nigeria

[3] Fed Univ, Dept Math, Dutse, Nigeria

[4] Bayero Univ, Numer Optimizat Res Grp, Kano, Nigeria

来源：

RAIRO-OPERATIONS RESEARCH | 2024年 / 58卷 / 01期

关键词：

Derivative-free; descent direction; global convergent; acceleration parameter; correction parameter;

D O I：

10.1051/ro/2023117

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This work presents a predictor-corrector iterative approach for solving systems of nonlinear equations. The methods are derivative-free with correction and acceleration parameters obtained via approximating the Jacobian matrix. Using an inexact line search procedure and under appropriate conditions, we proved that the proposed method is globally convergent. We, additionally, present some numerical results to show the efficiency and effectiveness of the proposed method.

引用

页码：989 / 1003

页数：15

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