The Preconditioned Methods For Linear Systems

For solving large linear systems,iterative methods have become one of the most important methods. We usually describe the convergence rate of the iterative methods to see whether it is a good method. So the convergence rate becomes more and more important. Then it is valuable to find a method which has a faster convergence rate. We introduce the nonsingular preconditioning matrix in order to solve the linear system faster and accelerate the convergence rate. In this paper, we establish the preconditioned AOR method to solve the large linear systems and receive a general result.