Abstract
Double-step scale splitting (DSS) approach is an efficient method for a class of large complex symmetric linear systems. In this work, we will apply DSS approach to specify the approximate solution of complex Sylvester matrix equation. We show that the iterative sequence, without any condition, converges to the unique solution of the Sylvester matrix equation, and also we determine the optimal parameter and the corresponding optimal convergence factor. Finally, a test problem is given to illustrate the efficiency of the new technique.
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The authors wish to thank both anonymous reviewers for careful reading and valuable comments and suggestions which improved the quality of this paper.
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Communicated by Jinyun Yuan.
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Dehghan, M., Shirilord, A. The double-step scale splitting method for solving complex Sylvester matrix equation. Comp. Appl. Math. 38, 146 (2019). https://doi.org/10.1007/s40314-019-0921-6
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DOI: https://doi.org/10.1007/s40314-019-0921-6
Keywords
- Complex Sylvester matrix equation
- DSS iteration method
- Complex symmetric positive definite matrix
- Optimal parameters