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International Journal of Computer Mathematics Volume 83, 2006 - Issue 4
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Original Articles

A note on block diagonal and constraint preconditioners for non-symmetric indefinite linear systems

Zhi-Hao Cao School of Mathematical Sciences and Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, People's Republic of ChinaView further author information
Pages 383-395 | Received 19 Dec 2005, Accepted 26 Jul 2006, Published online: 25 Jan 2007

Citations (15)

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Sheng-Wei Zhou, Ai-Li Yang & Yu-Jiang Wu. (2017) A relaxed block-triangular splitting preconditioner for generalized saddle-point problems. International Journal of Computer Mathematics 94:8, pages 1609-1623.
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Articles from other publishers (14)

Xin-Hui Shao & Hui-Nan Meng. (2022) A new generalized variant of the deteriorated PSS preconditioner for nonsymmetric saddle point problems. Computers & Mathematics with Applications 118, pages 208-213.
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Bo Wu & Xing-Bao Gao. (2021) A modified parameterized shift-splitting preconditioner for saddle point problems. Computational and Applied Mathematics 40:1.
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Shi-Liang Wu & Davod Khojasteh Salkuyeh. (2020) A shift-splitting preconditioner for asymmetric saddle point problems. Computational and Applied Mathematics 39:4.
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Guo Cheng & Ji-Cheng Li. (2020) A relaxed upper and lower triangular splitting preconditioner for the linearized Navier–Stokes equation. Computers & Mathematics with Applications 80:1, pages 43-60.
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Hai-Long Shen, Hong-Yu Wu, Xin-Hui Shao & Xiao-Di Song. (2019) The PPS method-based constraint preconditioners for generalized saddle point problems. Computational and Applied Mathematics 38:1.
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Zhao-Zheng Liang & Guo-Feng Zhang. (2018) Parameterized approximate block LU preconditioners for generalized saddle point problems. Journal of Computational and Applied Mathematics 336, pages 281-296.
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Sheng-Wei Zhou, Ai-Li Yang & Yu-Jiang Wu. (2017) Two modified block-triangular splitting preconditioners for generalized saddle-point problems. Computers & Mathematics with Applications 74:6, pages 1176-1197.
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Cui-Xia Li & Shi-Liang Wu. (2015) Two block triangular preconditioners for asymmetric saddle point problems. Applied Mathematics and Computation 269, pages 456-463.
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Shi-Liang Wu & Cui-Xia Li. (2014) Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems. Journal of Computational and Applied Mathematics 260, pages 349-355.
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Shi-Liang Wu & Cui-Xia Li. (2013) A note on parameterized block triangular preconditioners for generalized saddle point problems. Applied Mathematics and Computation 219:14, pages 7907-7916.
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Shi-Liang Wu & Cui-Xia Li. (2012) Indefinite block triangular preconditioner for symmetric saddle point problems. Calcolo 50:1, pages 1-15.
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Jian-Lei Li, Ting-Zhu Huang & Liang Li. (2010) The spectral properties of the preconditioned matrix for nonsymmetric saddle point problems. Journal of Computational and Applied Mathematics 235:1, pages 270-285.
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Zhi-Hao Cao. (2010) Block triangular Schur complement preconditioners for saddle point problems and application to the Oseen equations. Applied Numerical Mathematics 60:3, pages 193-207.
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Zhi‐Hao Cao. (2007) Augmentation block preconditioners for saddle point‐type matrices with singular (1, 1) blocks. Numerical Linear Algebra with Applications 15:6, pages 515-533.
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