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...

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.

We present an SOR-type algorithm and a Jacobi-type algorithm that can effectively be applied to the `1-`2 problem by exploiting its special structure. The algorithms are globally convergent and can be implemented in a particularly simple manner. Relations with coordinate minimization methods are discussed.

We present an SOR-type algorithm and a Jacobi-type algorithm that can effectively be applied to the `1-`2 problem by exploiting its special structure. The algorithms are globally convergent and can be implemented in a particularly simple manner. Relations with coordinate minimization methods are discussed.

Some comparison theorems for the spectral radius of double splittings of differentmatrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper byMiao and Zheng (2009). Some comparison theorems between the spectral radius of single and double splittings of matrices are established and are applied to the Jacobi and Gauss-Seidel double SOR m...

Golub et al. (2001, BIT, 41, 71–85) gave a generalized successive over-relaxation method for the augmented systems. In this paper, the connection between the SOR-like method and the preconditioned conjugate gradient (PCG) method for the augmented systems is investigated. It is shown that the PCG method is at least as accurate (fast) as the SOR-like method. Numerical examples demonstrate that th...

In this paper we find the best values of parameters in accelerated successive overrelaxation method (ASOR). We state and prove some theorems that show how we can find the optimal values of parameters in ASOR for special coefficient matrices. Key-Words: Linear systems, iterative methods, relaxation, ASOR.

This paper presents a new image morphing method using a two-dimensional deformation technique which provides an intuitive model for a warp. The deformation technique derives a C1-continuous and one-to-one warp from a set of point pairs overlaid on two images. The resulting inbetween image precisely reflects the correspondence of features specified by an animator. We also control the transition ...

Although reproducible results can be obtained in photometric set-point titrations of submicromolar amounts (5 -lo+ M and higher) of calcium(I1) and zinc(I1) by using an ? automatic titrator, the systematic error can be considerable. This error is partly intrinsic ; in nature, but there is an additional error caused by dilution in successive titrations_ Accurate values can be obtained only when ...