WebLet us now define the GLC convergence criterion for the GSM on Ax = b. Generalized Line Criterion (GLC). Aobeys GLC iff there is a vector w>0 such that S(A)w > 0. It is trivial that if A obeys LC then A obeys GLC with w = 1. Moreover, using W = diag(w),ifA obeys GLC then AW obeys the line criterion. This observation and lemma 2 lead to: WebScarborough criteria of sufficient condition for convergence in Gauss Siedel Method, Illustrative examples of Jacobi’s method and Gauss-Siedel method, Relaxation methods, Preferential characteristics of iterative methods, Multigrid method, Line by line TDMA, ADI (Alternating direction implicit) method, Gradient search methods: Steepest descent
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