However, you may have encountered a variant called the method. While it sounds more advanced, the "conversion" from MSOR to SOR is not a transformation of results but rather a conceptual and algorithmic simplification.
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. convert msor to sor
for i in range(n): if i < n/2: w = 1.2 else: w = 1.8 x_new[i] = (1-w)*x_old[i] + w*(b[i] - sum(A[i][j]*x_new[j] for j<i) - sum(A[i][j]*x_old[j] for j>i)) / A[i][i] However, you may have encountered a variant called
From MSOR to SOR: Simplifying the Modified Successive Over-Relaxation Method for i in range(n): if i < n/2: w = 1
if i % 2 == 0: omega = omega_even else: omega = omega_odd Convert to: