Iterative Solutions for Certain Complex Coefficient Linear Systems: Jacobi and Gauss-Seidel Methods

Iterative Solutions for Certain Complex System


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DOI:

https://doi.org/10.70447/ktve.2786

Anahtar Kelimeler:

Linear equations systems with complex coefficients- , Jacobi iteration method- Gauss-Seidel iteration method- Complex-Real transform

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.

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Yayınlanmış

11.04.2025

Nasıl Atıf Yapılır

Küçük, A. Z., Köse, B., & Karaca, B. (2025). Iterative Solutions for Certain Complex Coefficient Linear Systems: Jacobi and Gauss-Seidel Methods: Iterative Solutions for Certain Complex System. Kuantum Teknolojileri Ve Enformatik Araştırmaları Dergisi, 3(1), e2786. https://doi.org/10.70447/ktve.2786

Sayı

Cilt 3 Sayı 1 (2025): Kuantum teknolojileri ve enformatik arastirmalari dergisi

Bölüm

Araştırma Makalesi

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Lisans

Telif Hakkı (c) 2025 Ahmet Zahid Küçük

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