Modified Conjugate Gradient Method for Solving System of Nonlinear Equations

Authors

  • Mohammed Yusuf Waziri Department of Mathematical Sciences, Bayero University
  • Aliyu Yusuf Bayero University
  • Kabiru Ahmed Bayero University
  • Abubakar Sani Halilu Sule Lamido University

Keywords:

system of nonlinear equations, conjugate gradient parameters, convex combination, global convergence, numerical experiment

Abstract

In this paper, we proposed a modified hybrid conjugate gradient method based on a convex combination of the Fletcher-Reeves (FR), Polak-Ribiere-Polyak (PRP) and a quasiNewton’s update. However, one of the suggested algorithm’s key features is that the search direction is generated using a derivativefree line search. Under suitable assumptions, the algorithm is set up in such a way that its convergence is globally obtained. Finally, numerical outcomes on numerous benchmark test problems, show that our approach is more effective and robust than some existing methods.

Author Biographies

Mohammed Yusuf Waziri, Department of Mathematical Sciences, Bayero University

Professor at Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Aliyu Yusuf, Bayero University

Department of Science, School of Continuing Education, Bayero University, Kano, Nigeria

Kabiru Ahmed, Bayero University

Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abubakar Sani Halilu, Sule Lamido University

Department of Mathematics, Sule Lamido University, Kafin Hausa, Nigeria

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Published

2022-05-31

How to Cite

Waziri, M. Y., Yusuf, A., Ahmed, K., & Halilu, A. S. (2022). Modified Conjugate Gradient Method for Solving System of Nonlinear Equations. Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 1(2), 141–159. Retrieved from https://bangmodjmcs.com/index.php/ncao/article/view/83

Issue

Vol. 1 No. 2 (2022): July - December, 2022

Section

Articles

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Copyright (c) 2022 Mohammed Yusuf Waziri, Aliyu Yusuf, Kabiru Ahmed, Abubakar Sani Halilu

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