A note on stable perturbations of Moore–Penrose inverses |
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| Authors: | Zhao Li Qingxiang Xu Yimin Wei |
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| Affiliation: | 1. School of Mathematical Sciences & Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, , Shanghai, 200433 People's Republic of China;2. Department of Mathematics, Shanghai Normal University, , Shanghai, 200234 People's Republic of China;3. College of Sciences, Shanghai Institute of Technology, , Shanghai, 200235 People's Republic of China |
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| Abstract: | 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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| Keywords: | Moore– Penrose inverse acute perturbation stable perturbation |
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