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

Ahmet Zahid Kucuk (), Bayram Kose () and Bahriye Karaca ()
Additional contact information
Ahmet Zahid Kucuk: Karabuk Universitesi
Bayram Kose: Bakircay Universitesi
Bahriye Karaca: Bakircay Universitesi

Journal of Quantum Technologies and Informatics Research, 2025, vol. 3, issue 1, e2786-e2786

Abstract: 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.

Keywords: Linear equations systems with complex coefficients; Jacobi iteration method; Gauss-Seidel iteration method; Complex-Real transform (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:jle:joujqt:ktve2786

DOI: 10.70447/ktve.2786

Access Statistics for this article

Journal of Quantum Technologies and Informatics Research is currently edited by Cumali Yasar

More articles in Journal of Quantum Technologies and Informatics Research from Holistence Publications
Bibliographic data for series maintained by Cumali Yasar ().