| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2023-0463 |
| A parameter shift-splitting iterative method for complex symmetric linear systems |
| Li-Tao Zhang |
| Keywords:Complex symmetric linear systems, Parameter shift-splitting, Convergence, Preconditioner, Eigenvalue |
| Abstract: |
| Recently, Chen and Ma [Journal of Computational and Applied Mathematics, 344(2018): 691-700] constructed the generalized shift-splitting (GSS) preconditioner, and gave the corresponding theoretical analysis and numerical experiments. In this paper, based on the generalized shift-splitting (GSS) preconditioner, we generalize their algorithms and further study the parameter shift-splitting (PSS) preconditioner for complex symmetric linear systems.
Moreover, by similar theoretical analysis, we obtain that the parameter shift-splitting iterative method is unconditionally convergent. In finally, one example is provided to confirm the effectiveness. |
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