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International Journal of Computer Mathematics Volume 74, 2000 - Issue 4
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Original Articles

Perturbation analysis of singular linear systems with index oneFootnote∗

Yimin Wei Department of Mathematics and Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, People's Republic of China; Department of Mathematics and Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, People's Republic of ChinaView further author information
Pages 483-491 | Received 04 Mar 1999, Published online: 19 Mar 2007

Citations (21)

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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)

Haifeng Ma, Dijana Mosić & Predrag S. Stanimirović. (2023) Perturbation Bounds for the Group Inverse and its Oblique Projection. Applied Mathematics and Computation 449, pages 127963.
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Wen Li, Rihuan Ke, Wai-Ki Ching & Michael K. Ng. (2019) A -eigenvalue problem for tensors with applications to higher-order multivariate Markov chains . Computers & Mathematics with Applications 78:3, pages 1008-1025.
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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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Guorong Wang, Yimin Wei & Sanzheng QiaoGuorong Wang, Yimin Wei & Sanzheng Qiao. 2018. Generalized Inverses: Theory and Computations. Generalized Inverses: Theory and Computations 291 306 .
Yimin Wei. (2017) Acute perturbation of the group inverse. Linear Algebra and its Applications 534, pages 135-157.
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Hong-Fan Zhang, Ting-Zhu Huang, Chun Wen & Zhao-Li Shen. (2016) FOM accelerated by an extrapolation method for solving PageRank problems. Journal of Computational and Applied Mathematics 296, pages 397-409.
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Yimin Wei. 2013. Handbook of Linear Algebra, Second Edition. Handbook of Linear Algebra, Second Edition 445 469 .
Wen Li, Lin Jiang, Wai-Ki Ching & Lu-Bin Cui. (2015) On Perturbation Bounds for the Joint Stationary Distribution of Multivariate Markov Chain Models. East Asian Journal on Applied Mathematics 3:1, pages 1-17.
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Wen Li, Lu-Bin Cui & Michael K. Ng. (2012) On computation of the steady-state probability distribution of probabilistic Boolean networks with gene perturbation. Journal of Computational and Applied Mathematics 236:16, pages 4067-4081.
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Yanxing Cui, Chuanlong Wang & Ruiping Wen. (2012) On the convergence of generalized parallel multisplitting iterative methods for semidefinite linear systems. Numerical Algebra, Control & Optimization 2:4, pages 863-873.
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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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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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Yimin Wei & Huaian Diao. (2005) Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers. Journal of Computational and Applied Mathematics 182:2, pages 270-289.
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Yimin Wei & Huaian Diao. (2005) On group inverse of singular Toeplitz matrices. Linear Algebra and its Applications 399, pages 109-123.
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Xiaoke Cui. (2005) Bounds on condition number of a singular matrix and its applications. Applied Mathematics and Computation 162:1, pages 81-93.
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Yimin Wei & Michael K. Ng. (2005) Displacement structure of group inverses. Numerical Linear Algebra with Applications 12:2-3, pages 103-110.
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Huaian Diao & Yimin Wei. (2005) Structured perturbations of group inverse and singular linear system with index one. Journal of Computational and Applied Mathematics 173:1, pages 93-113.
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Jieyong Zhou & Yiming Wei. (2003) Perturbation analysis of singular linear systems with arbitrary index. Applied Mathematics and Computation 145:2-3, pages 297-305.
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Yimin Wei & Hebing Wu. (2000) The representation and approximation for Drazin inverse. Journal of Computational and Applied Mathematics 126:1-2, pages 417-432.
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