CYNTIA DWI , ANANDA (2026) PENYELESAIAN SISTEM PERSAMAAN NONLINEAR DENGAN MENGGUNAKAN METODE NEWTONRAPHSON DAN LEVENBERG-MARQUADRT. MATEMATIKA DAN ILMU PENGETAHUAN ALAM, UNIVERSITAS LAMPUNG.
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Abstract
Nonlinear systems of equations exhibit complex characteristics, as they may have a single solution, multiple solutions, or even no solution at all. Numerical methods are commonly used as an approach to obtain sufficiently accurate approximate solutions. This study aims to compare the performance and effectiveness of the Newton–Raphson method and the Levenberg–Marquardt method in solving nonlinear systems of equations. Both methods are tested using five cases and implemented through Python programming. The comparison is conducted based on the number of iterations, error values, and computational time. The results show that the Newton–Raphson method is more efficient in most cases but fails to converge when the Jacobian matrix is singular. In contrast, the Levenberg–Marquardt method is able to achieve convergence in all tested cases and demonstrates better stability. Keywords:Nonlinear systems of equations, numerical methods, Newton–Raphson method, Levenberg–Marquardt method.
| Item Type: | Other |
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| Subjects: | ?? 510 ?? |
| Divisions: | Fakultas MIPA > Prodi Matematika |
| Depositing User: | 2602633383 Digilib |
| Date Deposited: | 19 Feb 2026 01:52 |
| Last Modified: | 19 Feb 2026 01:52 |
| URI: | http://digilib.unila.ac.id/id/eprint/96471 |
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