IMPLEMENTATION OF GAUSS-SEIDEL ITERATION METHOD TO SOLVE COMPLEX LINEAR EQUATION SYSTEM
Keywords:
Gauss-Seidel Iteration, Complex Numbers, Complex Linear EquationsAbstract
ABSTRACT
There are many methods to solve complex linear equation systems, one of which is using the Gauss-Seidel iteration method. This is a method of solving simultaneous equations through an iteration process using initial values in the process so as to obtain the true value and the condition that the equation must be diagonally dominant. The purpose of this study was conducted to explore the Gauss-Seidel iteration method in solving complex linear equations with four equations of four variables and five equations of five variables. This research is a qualitative research with Literature Study focus. The steps of solving complex linear equations using the Gauss-Seidel iteration method are starting with the determination of a complex linear system, converting the equation into matrix form, then integrating the matrix into diagonally dominant so as to get the solution of a system of complex linear equations. The results showed that the Gauss-Seidel iteration method is effective in solving four equations of four variables and five equations of five variables in the system of complex linear equations. The benefit of this research is to provide readers with an understanding of the implementation of the Gauss-Seidel method in solving complex linear equation systems.
References
REFERENCES
Aryani, F., Tri Lestari, L., Matematika, J., Sains dan Teknologi UIN Sultan Syarif Kasim Riau Jl Soebrantas No, F. H., & Baru, S. (2016). Metode Gauss-Seidel dan Generalisasi Gauss-Seidel untuk Menyelesaikan Sistem Persamaan Linear Kompleks (Contoh Kasus: SPL Kompleks dengan 4 persamaan dan 4 variabel). Jurnal Sains Matematika Dan Statistika, 2(2), 21–31.
Ihsan, H., Wahyuni, M. S., & Waode, Y. S. (2024). Penerapan Metode Iterasi Jacobi dan Gauss-Seidel dalam Menyelesaikan Sistem Persamaan Linear Kompleks. 7(1), 34–54.
Marzuki, C. C. (2015). Penyelesaian Sistem Persamaan Linear Fully Fuzzy Menggunakan Metode Iterasi Jacobi. Journal Sains, Teknologi Dan Statistika, 1(155), 1–7.
Parida, Melisa, Safitri, M., & Zakiah, N. (2024). Implementasi Penerapan Fungsi Nonliner Dalam Matematika Ekonomi Pada Kehidupan Sehari-Hari. Al-Aqlu: Jurnal Matematika, Teknik Dan Sains, 2(1), 9–16. https://doi.org/10.59896/aqlu.v2i1.39
