Preconditioned AOR iterative method for linear systems

Authors:
Meijun Wu;Li Wang;Yongzhong Song
Affiliations:
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, PR China and School of Science, Nantong University, Nantong 226007, PR China;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, PR China;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, PR China
Venue:
Applied Numerical Mathematics
Year:
2007

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Abstract

For solving the linear system Ax=b, different preconditioned Gauss-Seidel methods have been proposed by many authors. In this paper, we will present preconditioned AOR iterative methods with two different preconditioners, and give corresponding convergence and comparison results. Numerical example is also given to illustrate our results.