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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-06
On The Direct and Indirect Methods of Solving Systems of Linear Equations
Ogunlade Temitope Olu
Published: Nov. 30, 2018 |
121
1415
DOI: 10.21276/sjpms.2018.5.6.2
Pages: 334-341
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Abstract
In this paper various methods are compared for solving linear systems of
equations. Both direct and iterative methods are considered. Different direct and indirect
methods exist for the computation of linear system of equations. For direct methods,
three methods are considered: Crammer’s rule, Gaussian elimination and LU (lower and
upper triangular matrices) Decomposition. Jacobi method, Gauss-Seidel method,
Successive over-relaxation method will be considered for iterative methods. The results
show that Successive over-relaxation method is more efficient than other methods
considering convergence, number of iterations, memory requirements and accuracy