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Journal of Applied Mathematics
Volume 2012 (2012), Article ID 274636, 16 pages
http://dx.doi.org/10.1155/2012/274636
Research Article

Improving Results on Convergence of AOR Method

Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, China

Received 16 June 2012; Revised 27 August 2012; Accepted 4 October 2012

Academic Editor: Carlos J. S. Alves

Copyright © 2012 Guangbin Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Hadjidimos, “Accelerated overrelaxation method,” Mathematics of Computation, vol. 32, no. 141, pp. 149–157, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. B. Li and M. J. Tsatsomeros, “Doubly diagonally dominant matrices,” Linear Algebra and Its Applications, vol. 261, pp. 221–235, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. T. Z. Huang and G. B. Wang, “Convergence theorems for the AOR method,” Applied Mathematics and Mechanics, vol. 23, no. 11, pp. 1183–1187, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. M. Li and Y. X. Sun, “Discussion on α-diagonally dominant matrices and their applications,” Chinese Journal of Engineering Mathematics, vol. 26, no. 5, pp. 941–945, 2009. View at Google Scholar
  5. L. Cvetković and D. Herceg, “Convergence theory for AOR method,” Journal of Computational Mathematics, vol. 8, no. 2, pp. 128–134, 1990. View at Google Scholar · View at Zentralblatt MATH
  6. Z.-X. Gao and T.-Z. Huang, “Convergence of AOR method,” Applied Mathematics and Computation, vol. 176, no. 1, pp. 134–140, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. A. Hadjidimos and A. Yeyios, “The principle of extrapolation in connection with the accelerated overrelaxation method,” Linear Algebra and Its Applications, vol. 30, pp. 115–128, 1980. View at Publisher · View at Google Scholar · View at Zentralblatt MATH