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Modified HSS iteration methods for a class of complex symmetric linear systems |
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| Authors: | Zhong-Zhi Bai Michele Benzi Fang Chen |
| Affiliation: | 1. School of Mathematics and Computer Science, Guizhou Normal University, 550001, Guiyang, People’s Republic of China 2. State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, 100190, Beijing, People’s Republic of China 3. Department of Mathematics and Computer Science, Emory University, Atlanta, GA, 30322, USA 4. Department of Mathematical Sciences, Xi’an Jiaotong University, 710049, Xi’an, People’s Republic of China 5. Department of Mathematics and Physics, Xi’an University of Post and Telecommunication, 710121, Xi’an, People’s Republic of China |
| Abstract: | In this paper, we introduce and analyze a modification of the Hermitian and skew-Hermitian splitting iteration method for solving a broad class of complex symmetric linear systems. We show that the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method is unconditionally convergent. Each iteration of this method requires the solution of two linear systems with real symmetric positive definite coefficient matrices. These two systems can be solved inexactly. We consider acceleration of the MHSS iteration by Krylov subspace methods. Numerical experiments on a few model problems are used to illustrate the performance of the new method. |
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