Agus Sutrisno, Sutrisno and Dorrah, Azis and Tiryono, Ruby and Nonik Mega Sapitri, Mega and Arvi Hasanah, Arvi (2025) Comparison of Gauss-Seidel Method, Newton-Raphson Method, and Broyden Method in Solving Nonlinear Equation Systems. International Journal of Advance Social Sciences and Education (IJASSE), 3 (2). pp. 47-58. ISSN 2988-2133

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Abstract

A nonlinear equation system is a set of nonlinear equations that tend to be difficult to solve analytically. One common approach used to solve a nonlinear equation system is numerically in the form of an iteration method, which produces solutions in the form of approximate values or approximations. There are many numerical methods that can be applied to solve a nonlinear equation system, such as the GaussSeidel Method, the Newton-Raphson Method, and the Broyden Method. To obtain an effective and efficient solution, the selection of the right method is required. Therefore, this study will compare the performance of the Gauss-Seidel Method, the Newton-Raphson Method, and the Broyden Method in solving a nonlinear equation system. This study uses MATLAB software to assist in the process of solving a nonlinear equation system. The results of the study show that the Newton-Raphson Method is more effective in solving a nonlinear equation system compared to the Gauss-Seidel Method and the Broyden Method.

Item Type:	Article
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Divisions:	Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User:	AGUS SUTRI
Date Deposited:	13 Jun 2025 11:25
Last Modified:	13 Jun 2025 11:25
URI:	http://repository.lppm.unila.ac.id/id/eprint/54621

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