The performance of six variants of the successive overrelaxation methods (SOR) are considered for an algebraic system arising from a finite difference treatment of an elliptic equation of Partial Differential Equations (PDEs) on a triangular region. The consistency of the finite difference representation of the system is achieved. In the finite difference method one obtains an algebraic system ...

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Successive over-relaxation (SOR) is an important iterative solver for solving linear systems. We present parallel implementations of the red-black SOR method using three modern programming languages, namely Chapel, D and Go. We employ the SOR method for solving a 2D steady-state heat conduction problem. We discuss the optimizations incorporated and the features of these languages which are cruc...

We continue to discuss why MMSE estimation arises in coding schemes that approach the capacity of linear Gaussian channels. Here we consider schemes that involve successive decoding, such as decision-feedback equalization or successive cancellation. “Everything should be made as simple as possible, but not simpler.”— A. Einstein.

The Poisson Problem, ∇ · ∇x = b, is a sparse linear system of equations that arises, for example, in scientific computing. For this project, I describe a parallel Successive Over-Relaxation (SOR) algorithm for solving the Poisson problem and implement it in a C library using Message Passing Interface (MPI). I evaluate the performance of my implementation on a single multicore machine and in a c...

Successive over-relaxation (SOR) is a computationally intensive, yet extremely important iterative solver for solving linear systems. Due to recent trends of exponential growth in amount of data generated and increasing problem sizes, serial platforms have proved to be insufficient in providing the required computational power. In this paper, we present parallel implementations of red-black SOR...

We generalize l ocal l exicographic SSOR preconditioning for the Sheikholeslami-Wohlert improved Wilson fermion action and the truncated perfect free fermion action. In our test implementation we achieve performance gains as known from SSOR preconditioning of the standard Wilson fermion action.

Convergence of the iterative method based on the successive overrelaxation (SOR) method is investigated to solve the matrix equation in the moment analysis of array antennas. It is found this method can be applied to the sub domain method of moments with fast convergence if the grouping technique is applied and the over-relaxation parameter is properly selected, and the computation time for sol...

Successive over-relaxation (SOR) is a computationally intensive, yet extremely important iterative solver for solving linear systems. Due to recent trends of exponential growth in amount of data generated and increasing problem sizes, serial platforms have proved to be insufficient in providing the required computational power. In this paper, we present parallel implementations of red-black SOR...