I'm having a presentation on Gauss-Seidel iterative method, and although it isn't mandatory , I would like to have some practical examples for this method (a system of linear equations with n ≥ 1000, preferrably in .txt form), as well as some implementation details (maybe block GS or something, since I haven't looked that up).I would love it if you can give me examples from real-world calculations, like in a scientific paper or something.

Question

I&#039;m having a presentation on Gauss-Seidel iterative method, and although it isn&#039;t mandatory , I would like to have some practical examples for this method (a system of linear equations with   n  ≥  1000, preferrably in .txt form), as well as some implementation details (maybe block GS or something, since I haven&#039;t looked that up).I would love it if you can give me examples from real-world calculations, like in a scientific paper or something.

Ronald Hickman · Accepted Answer

lock Gauss-Seidel Iterative Method have been used to calculate steady state probabilities of a queueing system (especially queues defined as 2D Markov chains) by solving balance equations simultaneously. Here is a paper says so.

Cooper Doyle · Accepted Answer

There is a Gauss-Seidel variant of the classical value iteration algorithm in dynamic programming, which improves the (naive) convergence rate of VI.