A note on stable perturbations of Moore–Penrose inverses
Copyright policy )A note on stable perturbations of Moore–Penrose inverses
SUMMARYPerturbation 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.
- Fudan University China (People's Republic of)
- Shanghai Normal University China (People's Republic of)
- Shanghai Normal University China (People's Republic of)
- Shanghai Institute for Science of Science China (People's Republic of)
- Shanghai Institute of Technology China (People's Republic of)
numerical examples, Numerical solutions to overdetermined systems, pseudoinverses, Numerical computation of matrix norms, conditioning, scaling, acute perturbation, linear least squares problems, perturbation bounds, Theory of matrix inversion and generalized inverses, Moore-Penrose inverse, stable perturbation
numerical examples, Numerical solutions to overdetermined systems, pseudoinverses, Numerical computation of matrix norms, conditioning, scaling, acute perturbation, linear least squares problems, perturbation bounds, Theory of matrix inversion and generalized inverses, Moore-Penrose inverse, stable perturbation
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