It is well known that the upper bounds of the weighted Moore–Penrose inverse play a fundamental role in the perturbation analysis for the weighted linear least squares problem. In this… Click to show full abstract
It is well known that the upper bounds of the weighted Moore–Penrose inverse play a fundamental role in the perturbation analysis for the weighted linear least squares problem. In this note, we provide a sharp estimation for , (1) Thus norm estimations for the weighted Moore–Penrose inverses of the acute perturbations can be improved uniformly.
               
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