Second Degree Refinement Jacobi Iteration Method for Solving System of Linear Equation

Article Sidebar

PDF
Published: Feb 15, 2017
Keywords:
Jacobi iteration, second degree refinement, system of linear equations

Main Article Content

Tesfaye Kebede
Department of Mathematics, College of Science, Bahir Dar University

Abstract

Several iterative techniques for the solution of linear system of equations have been proposed in different literature in the past.In this paper, we present a Second degree of refinement Jacobi Iteration method for solving system of linear equation, Ax = b and we consider few numerical examples and spectral radius to show that the effective of the Second degree of refinement Jacobi Iteration Method (SDRJ) in comparison with other methods of First degree Jacobi (FDJ), First degree Refinement Jacobi (FDRJ) and Second degree Jacobi (SDJ) method.

Article Details

How to Cite
Kebede, T. (2017). Second Degree Refinement Jacobi Iteration Method for Solving System of Linear Equation. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 3(1), 5–10. Retrieved from https://journal.its.ac.id/index.php/ijcsam/article/view/4617
Issue
Vol. 3 No. 1 (2017)
Section
Articles

References

V. K. Vatti and T. K. Eneyew, "A refinement of gauss-seidel method for solving of linear system of equations," Int. J. Contemp. Math. Sciences, vol. 6, no. 3, pp. 117–121, 2011.

D. Young and D. Kincaid, "Linear stationary second-degree methods for the solution of large linear systems," Univ. of Texas, Center for Numerical Analysis, Austin, TX (United States), Tech. Rep., 1990.

F. Naeimi Dafchahi, "A new refinement of jacobi method for solution of linear system equations Ax=b," Int. J. Contemp. Math. Sciences,, vol. 3, no. 17, pp. 819–827, 2008.