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International Journal of Computer Mathematics Volume 91, 2014 - Issue 6
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Section B

Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for saddle-point problems

Xu LiSchool of Mathematics and Statistics, Lanzhou University, Lanzhou730000, China
,
Ai-Li YangSchool of Mathematics and Statistics, Lanzhou University, Lanzhou730000, ChinaCorrespondence[email protected]
[email protected]
&
Yu-Jiang WuSchool of Mathematics and Statistics, Lanzhou University, Lanzhou730000, China
Pages 1224-1238 | Received 31 Mar 2013, Accepted 23 Jul 2013, Published online: 29 Oct 2013

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Yu-Qin Bai. (2021) A class of modified GSS preconditioners for complex symmetric linear systems. International Journal of Computer Mathematics 98:9, pages 1713-1726.
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Articles from other publishers (16)

Kai Jiang, Jianghao Su & Juan Zhang. (2022) A Data-Driven Parameter Prediction Method for HSS-Type Methods. Mathematics 10:20, pages 3789.
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Candan Güdücü, Jörg Liesen, Volker Mehrmann & Daniel B. Szyld. (2022) On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs. SIAM Journal on Scientific Computing 44:4, pages A2871-A2894.
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Ruo-Cheng Xu, Min-Hong Chen & Ping-Fei Dai. (2022) AQTTTS-based iteration methods for weakly nonlinear systems with diagonal-plus-Toeplitz structure. Computational and Applied Mathematics 41:4.
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Wen-Li Gao, Xi-An Li & Xin-Ming Lu. (2020) On quasi shift-splitting iteration method for a class of saddle point problems. Computers & Mathematics with Applications 79:10, pages 2912-2923.
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Ai-Li Yang, Yang Cao & Yu-Jiang Wu. (2018) Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems. BIT Numerical Mathematics 59:1, pages 299-319.
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Zheng-Ge Huang, Li-Gong Wang, Zhong Xu & Jing-Jing Cui. (2018) Modified PHSS iterative methods for solving nonsingular and singular saddle point problems. Numerical Algorithms 80:2, pages 485-519.
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Cheng-Liang Li & Chang-Feng Ma. (2019) An accelerated symmetric SOR-like method for augmented systems. Applied Mathematics and Computation 341, pages 408-417.
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Zheng-Ge Huang, Li-Gong Wang, Zhong Xu & Jing-Jing Cui. (2018) The modified PAHSS–PU and modified PPHSS-SOR iterative methods for saddle point problems. Computational and Applied Mathematics 37:5, pages 6076-6107.
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Zheng-Ge Huang, Li-Gong Wang, Zhong Xu & Jing-Jing Cui. (2017) The generalized modified shift-splitting preconditioners for nonsymmetric saddle point problems. Applied Mathematics and Computation 299, pages 95-118.
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Yu-Jiang Wu, Xu Li & Jin-Yun Yuan. (2015) A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems. Computational and Applied Mathematics 36:1, pages 367-381.
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Hui-Di Wang & Zheng-Da Huang. (2017) On a New SSOR-Like Method with Four Parameters for the Augmented Systems. East Asian Journal on Applied Mathematics 7:1, pages 82-100.
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Zheng-Ge Huang, Li-Gong Wang, Zhong Xu & Jing-Jing Cui. (2016) Improved PPHSS iterative methods for solving nonsingular and singular saddle point problems. Computers & Mathematics with Applications 72:1, pages 92-109.
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Yueyan Lv & Naimin Zhang. (2016) A Note on Parameterized Preconditioned Method for Singular Saddle Point Problems. Journal of Applied Mathematics and Physics 04:04, pages 608-613.
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Zhengge Huang, Ligong Wang, Zhong Xu & Jingjing Cui. (2016) Generalized ASOR and Modified ASOR Methods for Saddle Point Problems. Mathematical Problems in Engineering 2016, pages 1-18.
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Xu Li, Yu-Jiang Wu, Ai-Li Yang & Jin-Yun Yuan. (2014) Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems. Applied Mathematics and Computation 244, pages 552-560.
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Xu Li, Yu-Jiang Wu, Ai-Li Yang & Jin-Yun Yuan. (2014) A Generalized HSS Iteration Method for Continuous Sylvester Equations. Journal of Applied Mathematics 2014, pages 1-9.
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