![]() ![]() Small modifications in your algorithm can yield different results. During a multigrid V-cycle, the solution is rst approximated using several smoothing iterations with amethod like Gauss-Seidel on the nest mesh (pre-smoothing), and then the residual is transferred to the rstcoarse level, where additional smoothing iterations occur. gaussseidel, a Python code which uses the Gauss-Seidel iteration to solve a linear system with a symmetric positive definite (SPD) matrix. We can see, that for a value of $\omega\approx 0.38$ we get optimal convergence.Įven though this might be a little more than you asked for, I still hope it might interest you to see, that ![]() &3 & 1 & -2 \end-x$ for different values of $\omega$ on the x-axis, once for $0.01<\omega<2$ and in the second plotįor $0.01<\omega<0.5$. With the spectral radius, you are on the right track.
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