Both Evans et al. and Li et al. have presented preconditioned methods for linear systems to improve the convergence rates of AOR-type iterative schemes. In this paper, we present a new preconditioner. Some comparison theorems on preconditioned iterative methods for solving L -matrix linear systems are presented. Comparison results and a numerical example show that convergence of the preconditioned Gauss�Seidel method is faster than that of the preconditioned AOR iterative method.
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