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A note on stable perturbations of Moore–Penrose inverses
Author(s) -
Li Zhao,
Xu Qingxiang,
Wei Yimin
Publication year - 2013
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.838
Subject(s) - mathematics , perturbation (astronomy) , moore–penrose pseudoinverse , upper and lower bounds , pure mathematics , mathematical analysis , inverse , geometry , physics , quantum mechanics
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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