Norms, primarily of theoretical interest, of the successive overrelaxation method, with a relaxation parameter other than the optimum one, are studied. New results on this subject are presented and compared with those of Wachspress [8].

Ahstract In this paper it is assumed that the point (or block) Jacobi manix. B associated with the matrix A is weakly 2-cyclic consistently ordered with complex, in general, eigen-value spectrum, a(B), lying in the interior of the infinite unit strip. It is then our objec~ live to apply and ex.tend the Young-Eidson algorithm in order to determine the real optimum relaxation factor in the follow...

J.-C. Walter, 2 M. Baiesi, 4 G. T. Barkema, 1 and E. Carlon Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands Institute for Theoretical Physics, KULeuven, Celestijnenlaan 200D, Leuven, Belgium Dipartimento di Fisica e Astronomia, Università di Padova, Via Marzolo 8, Padova, Italy INFN, Sezione di Padova, Via Marzolo 8, Padova, Italy Institute for Theoretical...

In this paper, we study the convergence of the generalized accelerated overrelaxation (GAOR) iterative method. That is an extension of the classical convergence result of the generalized successive overrelaxation (GSOR) iterative method. We proposed some theorems, which they obtain better results than similar works. By some numerical examples we show the goodness of our results. 2006 Elsevier I...

This paper present the implementation of a new ordering strategy on Successive Overrelaxation scheme on two dimensional boundary value problems. The strategy involve two directions alternatingly; from top and bottom of the solution domain. The method shows to significantly reduce the iteration number to converge. Four numerical experiments were carried out to examine the performance of the new ...

The trajectory of a robot is monitored in a restricted dynamic environment using light beam sensor data. We have a Dynamic Belief Network (DBN), based on a discrete model of the domain, which provides discrete mon­ itoring analogous to conventional quantita­ tive filter techniques. Sensor observations are added to the basic D BN in the form of specific evidence. However, sensor data is often pa...

Solids of revolution (vases, bottles, bells, . . .), shortly SORs, are very common objects in man-made environments. We present a complete framework for 3D database population from a single image of a scene including a SOR. The system supports human intervention with automated procedures to obtain good estimates of the interest entities needed for 3D reconstruction. The system exploits the spec...

The successive over-relaxation (SOR) how to quickly verify and generate a iterative method is an important solver for linear multicoloring ordering according to the given systems. In this paper, a parallel algorithm for the structure of a matrix or a grid. However, the red-black SOR method with domain decomposition is multi-color SOR method is parallel only within investigated. The parallel SOR...

In this paper, we study the iterative algorithms for saddle point problems(SPP). We present a new symmetric successive over-relaxation method with three parameters, which is the extension of the SSOR iteration method. Under some suitable conditions, we give the convergence results. Numerical examples further confirm the correctness of the theory and the effectiveness of the method. Key–Words: i...