求解非线性方程组的混合无导数方法

IF 1.8 4区管理学 Q3 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Rairo-Operations Research Pub Date : 2023-08-07 DOI:10.1051/ro/2023117

Mohammed Yusuf Waziri, Hadiza Usman Muhammad, Abubakar Sani Halilu, K. Ahmed, Salisu Murtala

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引用次数: 0

摘要

这项工作提出了一种求解非线性方程组的预测校正迭代方法。该方法不需要微分，只需要通过逼近雅可比矩阵获得加速度参数和校正参数。在适当的条件下，采用不精确的直线搜索方法，证明了该方法是全局收敛的。此外，我们还给出了一些数值结果来证明该方法的效率和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hybrid derivative-free methods for solving system of nonlinear equations

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.

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来源期刊

Rairo-Operations Research 管理科学-运筹学与管理科学

CiteScore

3.60

自引率

22.20%

发文量

206

审稿时长

>12 weeks

期刊介绍： RAIRO-Operations Research is an international journal devoted to high-level pure and applied research on all aspects of operations research. All papers published in RAIRO-Operations Research are critically refereed according to international standards. Any paper will either be accepted (possibly with minor revisions) either submitted to another evaluation (after a major revision) or rejected. Every effort will be made by the Editorial Board to ensure a first answer concerning a submitted paper within three months, and a final decision in a period of time not exceeding six months.