Abstract
Based on the Hermitian and skew-Hermitian splitting (HSS), we come up with a generalized HSS iteration method with a flexible shift-parameter for solving the non-Hermitian positive definite system of linear equations. This iteration method utilizes the optimization technique to obtain the optimal value of the flexible shift-parameter at iteration process. Both theory and experiment have shown that the new strategy is efficient.
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Acknowledgments
The authors are very much indebted to the anonymous referees for their helpful comments and suggestions which greatly improved the original manuscript of this paper. This work is supported by the National Natural Science Foundation of China (No.11371275), the National Natural Science Foundation of Shanxi Province, China (No.2014011019-3) and the Key Construction Disciplines Project of Xinzhou Normal University, China (No.XK201301).
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Meng, GY., Wen, RP. & Zhao, QS. The generalized HSS method with a flexible shift-parameter for non-Hermitian positive definite linear systems. Bit Numer Math 56, 543–556 (2016). https://doi.org/10.1007/s10543-015-0584-7
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DOI: https://doi.org/10.1007/s10543-015-0584-7