Perturbation Bounds for the Group Inverse and its Oblique Projection

Haifeng Ma, Dijana Mosić and Predrag S. Stanimirović

Applied Mathematics and Computation, 2023, vol. 449, issue C

Abstract: This paper investigates the refined perturbation formulae and perturbation bounds for the group inverse and its oblique projection by the Schur decomposition. In addition, relative perturbation formulae and bounds of some rational expressions that involve group inverses of initial and perturbed matrix are considered. The obtained perturbation limit is sharper than the existing ones derived using the Jordan canonical form.

Keywords: Perturbation; Group inverse; Moore-Penrose inverse; Schur decomposition (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001327

DOI: 10.1016/j.amc.2023.127963

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