Second Degree Refinement Jacobi Iteration Method for Solving System of Linear Equation
Keywords:
Jacobi iteration, second degree refinement, system of linear equationsAbstract
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.
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.
