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Volume 7, Issue 1
On a New SSOR-Like Method with Four Parameters for the Augmented Systems

Hui-Di Wang & Zheng-Da Huang

DOI: 10.4208/eajam.190716.081116a

East Asian J. Appl. Math., 7 (2017), pp. 82-100.

Published online: 2018-02

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  • Abstract

In this paper, we propose a new SSOR-like method with four parameters to solve the augmented system. And we analyze the convergence of the method and get the optimal convergence factor under suitable conditions. It is proved that the optimal convergence factor is the same as the GMPSD method [M.A. Louka and N.M. Missirlis, A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented systems, Numer. Math. 131(2015) 517-540] with five parameters under the same assumption.

  • Keywords

Convergence, SSOR-like method, convergence factor.

  • AMS Subject Headings

65F10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-7-82, author = {Hui-Di Wang and Zheng-Da Huang}, title = {On a New SSOR-Like Method with Four Parameters for the Augmented Systems}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {1}, pages = {82--100}, abstract = {

In this paper, we propose a new SSOR-like method with four parameters to solve the augmented system. And we analyze the convergence of the method and get the optimal convergence factor under suitable conditions. It is proved that the optimal convergence factor is the same as the GMPSD method [M.A. Louka and N.M. Missirlis, A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented systems, Numer. Math. 131(2015) 517-540] with five parameters under the same assumption.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.190716.081116a}, url = {http://global-sci.org/intro/article_detail/eajam/10736.html} }
TY - JOUR T1 - On a New SSOR-Like Method with Four Parameters for the Augmented Systems AU - Hui-Di Wang & Zheng-Da Huang JO - East Asian Journal on Applied Mathematics VL - 1 SP - 82 EP - 100 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.190716.081116a UR - https://global-sci.org/intro/article_detail/eajam/10736.html KW - Convergence, SSOR-like method, convergence factor. AB -

In this paper, we propose a new SSOR-like method with four parameters to solve the augmented system. And we analyze the convergence of the method and get the optimal convergence factor under suitable conditions. It is proved that the optimal convergence factor is the same as the GMPSD method [M.A. Louka and N.M. Missirlis, A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented systems, Numer. Math. 131(2015) 517-540] with five parameters under the same assumption.

Hui-Di Wang and Zheng-Da Huang. (2018). On a New SSOR-Like Method with Four Parameters for the Augmented Systems. East Asian Journal on Applied Mathematics. 7 (1). 82-100. doi:10.4208/eajam.190716.081116a
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