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Linear and Multilinear Algebra Volume 59, 2011 - Issue 12
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Original Articles

A note on additive results for the Drazin inverse

Yi-min Wei School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai 200433, P.R. ChinaCorrespondence[email protected]
&
Chun-yuan Deng College of Mathematics Science, South China Normal University, Guangzhou 510631, P.R. China
Pages 1319-1329 | Received 18 Feb 2009, Accepted 21 May 2010, Published online: 14 Apr 2011

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Mengmeng Zhou, Jianlong Chen & Dingguo Wang. (2021) The core inverses of linear combinations of two core invertible matrices. Linear and Multilinear Algebra 69:4, pages 702-718.
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Mengmeng Zhou, Jianlong Chen & Xia Zhu. (2020) The group inverse and core inverse of sums of two elements in a ring. Communications in Algebra 48:2, pages 676-690.
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Daochang Zhang, Dijana Mosić & Li Guo. (2020) The Drazin inverse of the sum of four matrices and its applications. Linear and Multilinear Algebra 68:1, pages 133-151.
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Ivan P. Stanimirović. (2015) Computing A(2) inverses of Hermitian matrices via LDL* decomposition for a square matrix A. Linear and Multilinear Algebra 63:8, pages 1553-1567.
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Guifen Zhuang, Jianlong Chen, Dragana S. Cvetković-Ilić & Yimin Wei. (2012) Additive property of Drazin invertibility of elements in a ring. Linear and Multilinear Algebra 60:8, pages 903-910.
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Xiaoji Liu, Shuxia Wu & Yaoming Yu. (2012) The perturbation of the Drazin inverse. International Journal of Computer Mathematics 89:5, pages 711-726.
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Articles from other publishers (14)

Said Zriaa & Mohammed Mouçouf. (2023) The explicit formulas of the Drazin inverse of matrices and its nth powers. Rendiconti del Circolo Matematico di Palermo Series 2 73:2, pages 603-612.
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Xiaolan Qin & Linzhang Lu. (2023) Formulae for the Drazin inverse of elements in a ring. Filomat 37:17, pages 5623-5639.
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Xiaolan Qin & Linzhang Lu. (2023) Drazin invertibility for sum and product of two elements in a ring. Filomat 37:6, pages 1751-1765.
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Wende Li & Jianlong Chen. (2022) Additive properties of central Drazin invertibility of elements in a ring. Filomat 36:7, pages 2493-2502.
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Sanzheng Qiao & Yimin Wei. (2018) Acute perturbation of Drazin inverse and oblique projectors. Frontiers of Mathematics in China 13:6, pages 1427-1445.
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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 .
Huihui Zhu & Jianlong Chen. (2016) Additive and Product Properties of Drazin Inverses of Elements in a Ring. Bulletin of the Malaysian Mathematical Sciences Society 40:1, pages 259-278.
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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 159 192 .
Huihui Zhu, Jianlong Chen & Pedro Patrício. (2015) REPRESENTATIONS FOR THE PSEUDO DRAZIN INVERSE OF ELEMENTS IN A BANACH ALGEBRA. Taiwanese Journal of Mathematics 19:2.
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Yimin Wei. 2013. Handbook of Linear Algebra, Second Edition. Handbook of Linear Algebra, Second Edition 445 469 .
Jiang Zhou, Changjiang Bu & Yimin Wei. (2012) Some block matrices with signed Drazin inverses. Linear Algebra and its Applications 437:7, pages 1779-1792.
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Xinghua Shi & Yimin Wei. (2012) A sharp version of Bauer–Fike’s theorem. Journal of Computational and Applied Mathematics 236:13, pages 3218-3227.
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A. Hernández, M. Lattanzi, N. Thome & F. Urquiza. (2012) The star partial order and the eigenprojection at 0 on EP matrices. Applied Mathematics and Computation 218:21, pages 10669-10678.
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Xiaoji Liu, Shuxia Wu & Yaoming Yu. (2011) On the Drazin Inverse of the Sum of Two Matrices. Journal of Applied Mathematics 2011, pages 1-13.
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