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A note on block preconditioner for generalized saddle point matrices with highly singular (1,1) block |
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| Authors: | Litao Zhang Yongwei Zhou Xianyu Zuo Chaoqian Li Yaotang Li |
| Affiliation: | College of Science, Zhengzhou University of Aeronautics, Zhengzhou, Henan, 450015, China,College of Science, Zhengzhou University of Aeronautics, Zhengzhou, Henan, 450015, China,Institute of Data and Knowledge Engineering, School of Computer and Information Engineering, Henan University, Kaifeng, Henan, 475004, China,School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan, 650091, China and School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan, 650091, China |
| Abstract: | In this paper, we present a block triangular preconditioner for generalized saddle point matrices whose coefficient matrices have singular (1,1) blocks. Theoretical analysis shows that all the eigenvalues of the preconditioned matrix are strongly clustered when choosing an optimal parameter. Numerical experiments are given to demonstrate the efficiency of the presented preconditioner. |
| Keywords: | Saddle point matrices Krylov subspace methods generalized saddle point matrices minimal polynomial preconditioners. |
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