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Volume 26, Issue 2
On the Optimization of Extrapolation Methods for Singular Linear Systems

Li Wang & Yongzhong Song

J. Comp. Math., 26 (2008), pp. 227-239.

Published online: 2008-04

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  • Abstract

We discuss semiconvergence of the extrapolated iterative methods for solving singular linear systems. We obtain the upper bounds and the optimum convergence factor of the extrapolation method as well as its associated optimum extrapolation parameter. Numerical examples are given to illustrate the theoretical results.

  • Keywords

Singular systems, Extrapolated iterative method, Semiconvergence, Optimum value.

  • AMS Subject Headings

65F10.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-227, author = {Li Wang and Yongzhong Song}, title = {On the Optimization of Extrapolation Methods for Singular Linear Systems}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {2}, pages = {227--239}, abstract = {

We discuss semiconvergence of the extrapolated iterative methods for solving singular linear systems. We obtain the upper bounds and the optimum convergence factor of the extrapolation method as well as its associated optimum extrapolation parameter. Numerical examples are given to illustrate the theoretical results.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8620.html} }
TY - JOUR T1 - On the Optimization of Extrapolation Methods for Singular Linear Systems AU - Li Wang & Yongzhong Song JO - Journal of Computational Mathematics VL - 2 SP - 227 EP - 239 PY - 2008 DA - 2008/04 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8620.html KW - Singular systems, Extrapolated iterative method, Semiconvergence, Optimum value. AB -

We discuss semiconvergence of the extrapolated iterative methods for solving singular linear systems. We obtain the upper bounds and the optimum convergence factor of the extrapolation method as well as its associated optimum extrapolation parameter. Numerical examples are given to illustrate the theoretical results.

Li Wang and Yongzhong Song. (2008). On the Optimization of Extrapolation Methods for Singular Linear Systems. Journal of Computational Mathematics. 26 (2). 227-239. doi:
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