Precondtioned Generalized Block Aor Ssor Methods For Solving Linear System

In this paper, we investigate the comparisons of asymptotic rates of iteration matrices of preconditioned and general iterative methods for solving non-singular linear systems. Whenever the coefficient matrix A is a Z-matrix, for a few of preconditioned methods, a sires of comparison theorems and Stein-Rosenberg type theorems of generalized block AOR, SSOR methods are proved, respectively. We also discuss the comparisons of the iteration parameters. Based on the results of Song, the comparisons of convergence rates and parameters are studied, for preconditioned and general parallel multisplitting block AOR, block SSOR methods. Furthermore, some numerical examples are given to testify corresponding theorems.