Otherwise, to understand the effect of we will rearrange the above equation to: If, then the method is exactly the Gauss-Seidel method. Where can be obtained using Equation 1 in the Gauss-Seidel method. The successive over-relaxation (SOR) method is another form of the Gauss-Seidel method in which the new estimate at iteration for the component is calculated as the weighted average of the previous estimate and the estimate using Gauss-Seidel :
The Successive Over-Relaxation (SOR) Method Open Educational Resources Iterative Methods:
High-Accuracy Numerical Differentiation Formulas.Basic Numerical Differentiation Formulas.Linearization of Nonlinear Relationships.Convergence of Jacobi and Gauss-Seidel Methods.Cholesky Factorization for Positive Definite Symmetric Matrices.
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