![]() ![]() The iteration equation is expressed analytically as: ![]() Where, ω is the relaxation factor and ω > 1ĭuring the iteration process, the left hand side of the equation is solved by using the previous value for x on right hand side. ![]() Now, decompose matrix A into Diagonal component matrix D, Lower triangular matrix L, and upper triangular matrix U, such that: + a nnx n = b nĮxpress these equations in the form: Ax = b Derivation of SOR Method:Ĭonsider the following sets of liner equations:Ī 11x 1 + a 12x 2 + a 13x 3 + a 14x 4. In this tutorial, we’re going to write a program for Successive Over-Relaxation – SoR method in MATLAB, and go through its mathematical derivation and theoretical background. Being extrapolated from Gauss Seidel Method, this method converges the solution faster than other iterative methods. This method is the generalization of improvement on Gauss Seidel Method. Successive Over-Relaxation Method, also known as SOR method, is popular iterative method of linear algebra to solve linear system of equations. ![]()
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