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Linear and Multilinear Algebra Volume 65, 2017 - Issue 3
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Articles

Representations and norm estimations for the Moore–Penrose inverse of multiplicative perturbations of matrices

Xiaobo ZhangDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, P.R. China.View further author information
,
Xuxu FangDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, P.R. China.View further author information
,
Chuanning SongDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, P.R. China.View further author information
&
Qingxiang XuDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, P.R. China.Correspondence[email protected]
View further author information
Pages 555-571 | Received 13 Apr 2015, Accepted 25 May 2016, Published online: 20 Jun 2016

References

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  • Xu W, Cai L, Li W. The optimal perturbation bounds for the weighted Moore--Penrose inverse. Electron. J. Linear Algebra. 2011;22:521–538.
  • Yang H, Zhang P. A note on multiplicative perturbation bounds for the Moore--Penrose inverse. Linear Multilinear Algebra. 2014;62:831–838.
  • Xu Q, Wei Y, Gu Y. Sharp norm-estimations for Moore--Penrose inverses of stable perturbations of Hilbert C*-module operators. SIAM J. Numer. Anal. 2010;47:4735–4758.
  • Koliha JJ. A generalized Drazin inverse. Glasgow Math. J. 1996;38:367–381.
  • Pedersen GK. C*-algebras and their automorphism groups. London: Academic Press; 1979.

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