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Sor vs Gauss-Seidel: Racing Towards Convergence

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Sor vs Gauss-Seidel: Racing Towards Convergence


Aakar Roghelia | Dipti Patel



Aakar Roghelia | Dipti Patel "Sor vs Gauss-Seidel: Racing Towards Convergence" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-9 | Issue-2, April 2025, pp.1067-1070, URL: https://www.ijtsrd.com/papers/ijtsrd78603.pdf

This paper presents a comparative analysis of the Gauss-Seidel and Successive Over-Relaxation (SOR) methods for solving large systems of linear equations. While direct methods like Gaussian elimination provide exact solutions, iterative methods are often preferred for large, sparse systems due to their computational efficiency. The SOR method, an enhanced version of the Gauss-Seidel method, introduces a relaxation parameter (?) to accelerate convergence. A computational program was developed to determine the optimal relaxation factor and minimize the number of iterations.

Gauss-Seidel method, SOR method, System of linear equations


IJTSRD78603
Volume-9 | Issue-2, April 2025
1067-1070
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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