A note on stable perturbations of Moore–Penrose inverses
Zhao Li, Qingxiang Xu, Yimin Wei · Numerical Linear Algebra with Applications · 2011
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.