Spectral gradient method with log-determinant norm for solving non-linear system of equations

Yeong, Lin Koay and Hong, Seng Sim and Yong, Kheng Goh and Sing, Yee Chua. (2022) Spectral gradient method with log-determinant norm for solving non-linear system of equations. Pertanika Journal of Science & Technology (Malaysia), 30 (3). 1861 -1882. ISSN 2231-8526

Solving a system of non-linear equations has always been a complex issue whereby various methods were carried out. However, most of the methods used are optimization-based methods. This paper has modified the spectral gradient method with the backtracking line search technique to solve the non-linear systems. The efficiency of the modified spectral gradient method is tested by comparing the number of iterations, the number of function calls, and computational time with some existing methods. As a result, the proposed method shows better performance and gives more stable results than some existing methods. Moreover, it can be useful in solving some non-linear application problems. Therefore, the proposed method can be considered an alternative for solving non-linear systems.

Full text available from: Official URL: http://www.pertanika.upm.edu.my/resources/files/Pe...

Abstract

Solving a system of non-linear equations has always been a complex issue whereby various methods were carried out. However, most of the methods used are optimization-based methods. This paper has modified the spectral gradient method with the backtracking line search technique to solve the non-linear systems. The efficiency of the modified spectral gradient method is tested by comparing the number of iterations, the number of function calls, and computational time with some existing methods. As a result, the proposed method shows better performance and gives more stable results than some existing methods. Moreover, it can be useful in solving some non-linear application problems. Therefore, the proposed method can be considered an alternative for solving non-linear systems.

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Item Type:	Article
AGROVOC Term:	spectral analysis
AGROVOC Term:	nonlinear equations
AGROVOC Term:	mathematical analysis
AGROVOC Term:	research
AGROVOC Term:	numerical analysis
AGROVOC Term:	methods
Geographical Term:	Malaysia
Uncontrolled Keywords:	Jacobian, log-determinant norm, nonlinear systems, optimization, spectral gradient method
Depositing User:	Ms. Azariah Hashim
Date Deposited:	12 Nov 2024 04:16
Last Modified:	12 Nov 2024 04:16
URI:	http://webagris.upm.edu.my/id/eprint/1788

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