Optimal perturbation bounds for the core inverse

Haifeng Ma

Applied Mathematics and Computation, 2018, vol. 336, issue C, 176-181

Abstract: In this short note, we study some perturbation properties of the core inverse. We present the closed form and perturbation bounds for the core inverse under some conditions, which extend the classical result on the perturbation of the nonsingular matrix. Our expressions for the perturbation of the core inverse are simple and perturbation bounds are sharp.

Keywords: Core inverse; Group inverse; Moore–Penrose inverse; Perturbation; Spectral norm (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:336:y:2018:i:c:p:176-181

DOI: 10.1016/j.amc.2018.04.059

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