Research articles
ScienceAsia (): 187-193 |doi:
10.2306/scienceasia1513-1874...187
A modified SSOR iterative method for a class of block
two-by-two linear systems
Yajun Xiea,b, Changfeng Maa,*
ABSTRACT: An interesting phenomenon when it comes to solving a class of complex linear systems is that the modified
symmetric successive overrelaxation (MSSOR) method with two parameters seems to enjoy the fine convergence
performance over symmetric successive overrelaxation (SSOR) which is recently proposed by Liang19 and Bai30. Owing
to the flexible selection of the parameters, the MSSOR method possesses the valuable role to solve some large scale linear
systems including the complex situation. Meanwhile, we also establish an accelerated MSSOR (AMSSOR) which can
offer a meaningful improvement on MSSOR method. This has been illustrated experimentally and shown theoretically
in this study. Our results may provide an analytical justification for popularity of SSOR and its accelerated version as
efficient solvers for some linear systems.
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| a |
College of Mathematics and Informatics & FJKLMAA, Fujian Normal University, Fuzhou 350117 China |
| b |
Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou 350108 China |
* Corresponding author, E-mail: macf@fjnu.edu.cn
Received 16 Aug 2018, Accepted 9 Apr 2019
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