ON COMPARISONS BETWEEN SOME ITERATION METHODS AND THEIR APPLICATION

Authors

  • Omar Aleyan Mathematics Department, Faculty Of Science, Al-Asmarya Islamic University Zliten, Libya.
  • Moamer Alamari Higher Institute of Engineering Technology,, Zliten, Libya.

DOI:

https://doi.org/10.59743/jbs.v32i.86

Keywords:

General iterative method, Jacobi method, and Gauss Siedel method

Abstract

In this paper the General iterative method, Jacobi method, and Gauss Siedel method have been studied, and applied to the linear system AX = B has the strictly diagonally dominant. Also solve number of iterations for the three methods has been computed. Finally the results have been compared.

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References

O. A. Aleyan (2012). "Applications of Finite Element Method to Solve Elliptic Partial Differential Equations Using Iterative Methods." An Academic, Intellectual, Cultural,

Comprehensive and Arbitrated Journal Issued by the Faculty of Arts and Sciences in Zliten, Al-Mergeb. Issue No. 21 2012 AS –SAYIF (December) .

O. A. Aleyan (2009). "On matrix splitting and application into iterative methods for linear systems." An Academic, Intellectual, Cultural, Comprehensive and Arbitrated

Journal Issued by the Faculty of Arts and Sciences in Zliten, Al-Merqab. Issue No. 18 2009 AS –SAYIF (JUNE) 1377.

A. Berman, R. Plemmons. (1979). "Nonnegative matrices in the mathematical sciences." Academic Press, New York.

R.A. Horn, C.R. Johnson. (1986). "Matrix analysis." Cambridge University Press,

Cambridge.

J.M. Ortega, W.C. Rheinboldt. (1988). "Iterative solution of linear systems." Plenum

Press, New York.

M. Fiedler. (1986). "Special matrices and their applications in numerical

mathematics." Kluwer.

R.S. Varga. (1962). "Matrix iterative analysis." Prentice Hall, New York.

D. Young. (1977). "Iterative solution of large linear systems." Academic Press, New

York.

D. Young. (1977). "Iterative solution of large linear systems." Academic Press, New York.

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Published

2019-12-30

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Article

How to Cite

ON COMPARISONS BETWEEN SOME ITERATION METHODS AND THEIR APPLICATION (O. A. Aleyan & M. M. Alamari , Trans.). (2019). Journal of Basic Sciences, 32, 1-12. https://doi.org/10.59743/jbs.v32i.86

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