Comparison of Jacobi and Gauss-Seidel Iterative Methods for the Solution of Systems of Linear Equations

A. I. Bakari *

Department of Mathematics, Federal University, Dutse, Nigeria.

I. A. Dahiru

Department of Mathematics, Federal University, Dutse, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

In this research work two iterative methods of solving system of linear equation has been compared, the iterative methods are used for solving sparse and dense system of linear equation and the methods were being considered are: Jacobi method and Gauss-Seidel method. The results show that Gauss-Seidel method is more efficient than Jacobi method by considering maximum number of iteration required to converge and accuracy.

Keywords: Iterative methods, Linear equations problem, convergence, square matrix.


How to Cite

Bakari, A. I., and I. A. Dahiru. 2018. “Comparison of Jacobi and Gauss-Seidel Iterative Methods for the Solution of Systems of Linear Equations”. Asian Research Journal of Mathematics 8 (3):1-7. https://doi.org/10.9734/ARJOM/2018/34769.

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