Iterative Solutions for Certain Complex Coefficient Linear Systems: Jacobi and Gauss-Seidel Methods
Iterative Solutions for Certain Complex System
Yazarlar
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Baram Köse
Bakırçay Üniversitesi
0000-0003-0256-5921
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Bahriye Karaca
Bakırçay Üniversitesi
0000-0003-4463-8180
Görüntüleme
87
Özet
In this study, the performance of the Jacobi and Gauss-Seidel iteration methods for solving systems of linear equations with complex coefficients is analyzed. The coefficient matrix of the system is transformed into a real coefficient system by separating the real and imaginary parts. The study aims to compare the accuracy and computational efficiency of these methods within the context of selected examples, while also evaluating their convergence behavior. The findings demonstrate that, for the examples considered, the Gauss-Seidel method converges faster and with lower initial errors compared to the Jacobi method.
Anahtar Kelimeler:
Linear equations systems with complex coefficients , Jacobi iteration method Gauss-Seidel iteration method Complex-Real transformİndirmeler
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Telif Hakkı (c) 2025 Ahmet Zahid Küçük
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