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International Journal of Computer Mathematics Volume 81, 2004 - Issue 11
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Solving EP singular linear systems

Naimin Zhang Applied Math. Dept., Dalian University of Technology, Dalian, 116023, P.R. China; Information Engineering College, Dalian University, Dalian, 116622, P.R. China
&
Yimin Wei Department of Mathematics and Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai, 200433, P.R. ChinaCorrespondence[email protected]
Pages 1395-1405 | Received 25 Feb 2004, Published online: 25 Jan 2007

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Hongxing Wang & Xiaoji Liu. (2020) EP-nilpotent decomposition and its applications. Linear and Multilinear Algebra 68:8, pages 1682-1694.
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Dijana Mosić, Chunyuan Deng & Haifeng Ma. (2018) On a weighted core inverse in a ring with involution. Communications in Algebra 46:6, pages 2332-2345.
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Haifeng Ma & Cheng Xiao. (2017) Convergence of Nonstationary Iterative Methods for Solving Singular Linear Equations with Index One. Numerical Functional Analysis and Optimization 38:11, pages 1507-1525.
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Articles from other publishers (20)

Yang Zhang & Zongyang Jiang. (2023) Core-EP-Nilpotent Decomposition and Its Applications. Journal of Mathematics 2023, pages 1-7.
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Ashish Kumar Nandi, Jajati Keshari Sahoo & Debasisha Mishra. (2019) Three-step alternating iterations for index 1 and non-singular matrices. Numerical Algorithms 84:2, pages 457-483.
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Yongge Tian. (2019) On relationships between two linear subspaces and two orthogonal projectors. Special Matrices 7:1, pages 142-212.
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Cheng-Liang Li & Chang-Feng Ma. (2019) On semi-convergence of parameterized SHSS method for a class of singular complex symmetric linear systems. Computers & Mathematics with Applications 77:2, pages 466-475.
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Keiichi Morikuni & Miroslav Rozložník. (2018) On GMRES for Singular EP and GP Systems. SIAM Journal on Matrix Analysis and Applications 39:2, pages 1033-1048.
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Dragana S. Cvetković‐Ilić & Yimin WeiDragana S. Cvetković Ilić & Yimin Wei. 2017. Algebraic Properties of Generalized Inverses. Algebraic Properties of Generalized Inverses 109 158 .
Qingqing Zheng & Changfeng Ma. (2014) A new SOR-Like method for the saddle point problems. Applied Mathematics and Computation 233, pages 421-429.
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Naimin Zhang, Tzon-Tzer Lu & Yimin Wei. (2014) Semi-convergence analysis of Uzawa methods for singular saddle point problems. Journal of Computational and Applied Mathematics 255, pages 334-345.
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Naimin Zhang & Pan Shen. (2013) Constraint preconditioners for solving singular saddle point problems. Journal of Computational and Applied Mathematics 238, pages 116-125.
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Li Guo & Xiankun Du. (2010) Representations for the Drazin inverses of 2×2 block matrices. Applied Mathematics and Computation 217:6, pages 2833-2842.
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Jieyong Zhou & Hui Wei. (2010) A simpler DGMRES. Applied Mathematics and Computation 217:1, pages 124-129.
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Naimin Zhang & Yi‐Min Wei. (2009) On the convergence of general stationary iterative methods for range‐Hermitian singular linear systems. Numerical Linear Algebra with Applications 17:1, pages 139-154.
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Lijing Lin, Yimin Wei & Naimin Zhang. (2009) Convergence and quotient convergence of iterative methods for solving singular linear equations with index one. Linear Algebra and its Applications 430:5-6, pages 1665-1674.
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Ke Wang, Guoliang Chen & Yimin Wei. (2009) Perturbation analysis for a class of fuzzy linear systems. Journal of Computational and Applied Mathematics 224:1, pages 54-65.
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Xiuhong Du & Daniel B. Szyld. (2008) Inexact GMRES for singular linear systems. BIT Numerical Mathematics 48:3, pages 511-531.
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Jueping Chen & Zhaoliang Xu. (2008) Comment on “condition number of Drazin inverse and their condition numbers of singular linear systems”. Applied Mathematics and Computation 199:2, pages 512-526.
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Xiaoke Cui, Yimin Wei & Naimin Zhang. (2007) Quotient convergence and multi-splitting methods for solving singular linear equations. Calcolo 44:1, pages 21-31.
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Hua Xiang, Yimin Wei & Huaian Diao. (2006) Perturbation analysis of generalized saddle point systems. Linear Algebra and its Applications 419:1, pages 8-23.
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Naimin Zhang & Yimin Wei. (2005) A note on solving EP inconsistent linear systems. Applied Mathematics and Computation 169:1, pages 8-15.
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Robert Hartwig, Xiezhang Li & Yimin Wei. (2005) Representations for the Drazin Inverse of a 2 x 2 Block Matrix. SIAM Journal on Matrix Analysis and Applications 27:3, pages 757-771.
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