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Vol.1 , No. 2, Publication Date: Feb. 13, 2015, Page: 21-28
| [1] | Fadugba Sunday Emmanuel, Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria. |
This paper presents some iterative methods for solving system of linear equations namely the Jacobi method and the modified Jacobi method. The Jacobi method is an algorithm for solving system of linear equations with largest absolute values in each row and column dominated by the diagonal elements. The modified Jacobi method also known as the Gauss Seidel method or the method of successive displacement is useful for the solution of system of linear equations. The comparative results analysis of the two methods was considered. We also discussed the rate of convergence of the Jacobi method and the modified Jacobi method. Finally, the results showed that the modified Jacobi method is more efficient, accurate and converges faster than its counterpart “the Jacobi Method”.
Keywords
Iterative Method, Jacobi Method, Modified Jacobi Method
Reference
| [01] | Atkinson, Kendall A. (1989), An Introduction to numerical analysis (2nd ed.), New York: John Wiley & Sons.. |
| [02] | Bolch, G. et al (2006), Queuing networks and markov chains: Modeling and performance evaluation with computer science applications (2nd ed.), Wiley-Interscience. |
| [03] | Farebrother, R.W. (1988), Linear least squares computations, statistics: Textbooks and monographs, Marcel Dekker. |
| [04] | Grcar, J. F. (2011b),"Mathematicians of Gaussian elimination", Notices of the American Mathematical Society. |
| [05] | Ibrahim B.K. (2010), A Survey of Three iterative methods for the solution of linear equations, IJNM. Vol. 5 Number 1, page 153-162 |
| [06] | Lipson, M. and Lipschutz, S. (2001), Schaum's outline of theory and problems of linear algebra, Schaum’s outline series, Fourth edition. |
