Abstract
In this paper, we propose some new preconditioned GAOR methods for solving weighted linear least squares problems and discuss their comparison results. Comparison results show that the convergence rates of the new preconditioned GAOR methods are better than those of the preconditioned GAOR methods presented by Shen et al. (Appl Math Mech Engl Ed 33(3):375–384, 2012) and Wang et al. (J Appl Math, doi:10.1155/2012/563586, 2012) whenever these methods are convergent. Finally, numerical experiments are provided to confirm the theoretical results obtained in this paper.
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This work is supported by the National Natural Science Foundations of China (No.11171273).
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Communicated by Andreas Fischer.
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Huang, ZG., Wang, LG., Xu, Z. et al. Some new preconditioned generalized AOR methods for solving weighted linear least squares problems. Comp. Appl. Math. 37, 415–438 (2018). https://doi.org/10.1007/s40314-016-0350-8
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DOI: https://doi.org/10.1007/s40314-016-0350-8