On Convergence Criteria for the Method of Successive Over-Relaxation

5: More on the Successive over Relaxation Method

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.

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...

The Successive Over-Relaxation Method in Reconfigurable Hardware

On the finite convergence of successive SDP relaxation methods

Let F be a subset of the n-dimensional Euclidean spaceR represented in terms of a compact convex subset C0 and a set PF of nitely or in nitely many quadratic functions on R such that F = fx 2 C0 : p(x) 0 (8p( ) 2 PF )g. In this paper, we investigate some fundamental properties related to the nite convergence of the successive SDP (semide nite programming) relaxation method proposed by the autho...