PENYELESAIAN SISTEM PERSAMAAN NONLINEAR DENGAN MENGGUNAKAN METODE NEWTONRAPHSON DAN LEVENBERG-MARQUADRT

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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Abstrak (Berisi Bastraknya saja, Judul dan Nama Tidak Boleh di Masukan)

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.

Jenis Karya Akhir: Skripsi
Subyek: 500 ilmu pengetahuan alam dan matematika > 510 Matematika
Program Studi: FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM (FMIPA) > Prodi S1 Matematika
Pengguna Deposit: 2602633383 Digilib
Date Deposited: 19 Feb 2026 01:52
Terakhir diubah: 19 Feb 2026 01:52
URI: http://digilib.unila.ac.id/id/eprint/96471

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