Preconditioned AOR iterative method for linear systems

For solving the linear system A x = 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 examp...

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Bibliographic Details
Published in:	Applied numerical mathematics Vol. 57; no. 5; pp. 672 - 685
Main Authors:	Wu, Meijun, Wang, Li, Song, Yongzhong
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Amsterdam Elsevier B.V 01-05-2007 Elsevier
Subjects:	Algebra Algebraic geometry AOR iterative method Exact sciences and technology Gauss–Seidel method Linear system Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Preconditioner Sciences and techniques of general use AOR iterative method Linear system Gauss–Seidel method Preconditioner Gauss-Seidel method Numerical linear algebra Gauss method Iterative method Convergence Direct method Numerical analysis Matrix inversion Applied mathematics Gauss Seidel method Preconditioning
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Summary:	For solving the linear system A x = 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.
ISSN:	0168-9274 1873-5460
DOI:	10.1016/j.apnum.2006.07.029