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Acute perturbation bounds of weighted Moore–Penrose inverse

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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.

Keywords: moore penrose; acute perturbation; bounds weighted; weighted moore; penrose inverse

Journal Title: International Journal of Computer Mathematics
Year Published: 2018

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