![]() ![]() Small modifications in your algorithm can yield different results. Doing this for a small system it seems intuitive to stop when the components x j i and x j i 1 differ by a tolerance giving. We can use iterative methods that produce a sequence of approximations x 1, x 2, that converge to x. Suppose that A x b is a diagonally dominant linear system. , to find the system of equation x which satisfy this condition. Stopping Rules for Jacobi/Gauss-Seidel Iteration. The GaussSeidel method is an iterative technique for solving a square system of n (n3) linear equations with unknown x. 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 This process to find the solution of the given linear equation is called the Gauss-Seidel Method. ![]()
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