Convert Msor To Sor Apr 2026

Set all ( \omega_i ) in your code to this single ( \omega ). The algorithm becomes: [ x_i^(k+1) = (1 - \omega) x_i^(k) + \frac\omegaa_ii \left( b_i - \sum_j < i a_ij x_j^(k+1) - \sum_j > i a_ij x_j^(k) \right) ]

From MSOR to SOR: Simplifying the Modified Successive Over-Relaxation Method convert msor to sor

Or in matrix form: [ (D - \omega L) x^(k+1) = \omega b + \left[(1 - \omega) D + \omega U \right] x^(k) ] MSOR (Modified SOR) is a generalization where different relaxation parameters are used for different equations or different groups of variables. Set all ( \omega_i ) in your code to this single ( \omega )