A note on stable perturbations of Moore–Penrose inverses

Authors

  • Zhao Li,

    1. School of Mathematical Sciences & Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai, People's Republic of China
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  • Qingxiang Xu,

    1. Department of Mathematics, Shanghai Normal University, Shanghai, People's Republic of China
    2. College of Sciences, Shanghai Institute of Technology, Shanghai, People's Republic of China
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  • Yimin Wei

    Corresponding author
    • School of Mathematical Sciences & Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai, People's Republic of China
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Yimin Wei, School of Mathematical Sciences, Fudan University, Shanghai, 200433, People's Republic of China.

E-mail: ymwei@fudan.edu.cn

SUMMARY

Perturbation bounds for Moore–Penrose inverses of rectangular matrices play a significant role in the perturbation analysis for linear least squares problems. In this note, we derive a sharp upper bound for Moore–Penrose inverses, which is better than a well known existing one. Copyright © 2011 John Wiley & Sons, Ltd.

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