Plasma equilibrium calculations by line successive over relaxation

Generating Eecient Parallel Code for Successive Over-relaxation Generating Eecient Parallel Code for Successive Over-relaxation

Successive Over-Relaxation (SOR) is a method used extensively for solving partial diierential equations by nite diierence. Compared with the Jacobi method for the same class of problems, SOR (of which the Gauss-Seidel method is a special case) ooers faster convergence. All of the schemes of parallelizing SOR proposed require two-way communication between neighbor processors. The number of the m...

Gauss-Sidel and Successive Over Relaxation Iterative Methods for Solving System of Fuzzy Sylvester Equations

In this paper, we present Gauss-Sidel and successive over relaxation (SOR) iterative methods for finding the approximate solution system of fuzzy Sylvester equations (SFSE), AX + XB = C, where A and B are two m*m crisp matrices, C is an m*m fuzzy matrix and X is an m*m unknown matrix. Finally, the proposed iterative methods are illustrated by solving one example.

The Successive Over-Relaxation Method in Reconfigurable Hardware

5: More on the Successive over Relaxation Method

Generating Efficient Parallel Code for Successive Over-relaxation A

A complete suite of algorithms for parallelizing compilers to generate eecient SPMD code for SOR problems is presented. By applying unimodular transformation before loop tiling and parallelization, the number of messages per iteration per processor is reduced from 3 n ? 1 in the conventional parallel SOR algorithm to 2 n ?1, where n is the dimensionality of the data set. To maintain the memory-...