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X.-X. Zhou, Y.-Z. Song, L. Wang and Q.-S. Liu, “Preconditioned GAOR Methods for Solving Weighted Linear Least Squares Problems,” Journal of Computational and Applied Mathematics, Vol. 224, No. 1, 2009, pp. 242-249. doi:10.1016/j.cam.2008.04.034

has been cited by the following article:

• TITLE: Improving AOR Method for a Class of Two-by-Two Linear System

  AUTHORS: Cuixia Li, Shiliang Wu

  KEYWORDS: Preconditioner, AOR Method, Convergence, Comparison

  JOURNAL NAME: Applied Mathematics, Vol.2 No.2, February 25, 2011

  ABSTRACT: In this paper, the preconditioned accelerated overrelaxation (AOR) method for solving a class of two-by-two linear systems is presented. A new preconditioner is proposed according to the idea of [1] by Wu and Huang. The spectral radii of the iteration matrix of the preconditioned and the original methods are compared. The comparison results show that the convergence rate of the preconditioned AOR methods is indeed better than that of the original AOR methods, whenever the original AOR methods are convergent under certain conditions. Finally, a numerical example is presented to confirm our results.