This paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. Recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the Accelerated Overrelaxation (AOR) method. In this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...

The improvement in AOR method for solving this system has been carried out by Hadjimos [1], Recently, Yao-Tang et al. [2], improved AOR method which has been developed by [1]. In this work, we construct a preconditioner to improve the Accelerated Over-relaxation (AOR) iterative method for solution of linear systems. We reduce the spectral radius of iterative matrix by multiplication of Precondi...

The accelerated overrelaxation (AOR) iterative method is a stationary iterative method for solving linear system of equations. In this paper, a generalization of the AOR iterative method is presented and its convergence properties are studied. Some numerical experiments are given to show the efficiency of the proposed method. AMS Mathematics Subject Classification: 65F10.

MHmatrices appear in many areas of science and engineering, for example, in the solution of the linear complementarity problem LCP in optimization theory and in the solution of large systems for real-time changes of data in fluid analysis in car industry. Classical stationary iterative methods used for the solution of linear systems have been shown to convergence for this class of matrices. In ...