Also, the diagonal dominance is assured for the linear system and so it can be solved easily using Point Gauss-Seidel or Line Gauss-Seidel, etc.
What does GS stand for?
GS stands for Gauss-Seidel (algorithm)
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- Gamespot (video game website)
- Gamestop (video game store)
- Gandke & Schubert (German software company)
- Gang Show (scout/guide)
- Gangnam Style (South Korean rap music)
- Garden State
- Gas Station
- Gas Supplier
Samples in periodicals archive:
Extrapolated accelerated Gauss-Seidel Methods, Int.
Vatti and Koneru  studied Extrapolated Accelerated Gauss-Seidel (EAGS) method defined as, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1.
We also prove the two-level convergence of the method for Hermitian and positive-definite (HPD) systems and extend the theory of reduction-based AMG to allow for smoothing on all variables (using, for example, Jacobi or Gauss-Seidel smoothers) instead of only F-smoothing.
5) for the Gauss-Seidel relaxation (for the proof see  and [21, Theorem A.
A collective point relaxation method (weighted Jacobi or a Gauss-Seidel variant) is used for smoothing.
In this way, for a Gauss-Seidel relaxation scheme, at each spatial node in turn, every moment is updated before going to the next spatial node so that the full moment coupling is considered at a fixed node.
We use a projected version of the well-known lexicographic pointwise Gauss-Seidel method as a smoother.