Characterizations, approximation and perturbations of the core-EP inverse

Haifeng Ma and Predrag S. Stanimirović

Applied Mathematics and Computation, 2019, vol. 359, issue C, 404-417

Abstract: Several characterizations and representations for the core-EP inverse are presented and investigated. To that goal, several explicit bordering technique for characterizing and defining the core-EP inverse are analyzed. Also the matrix splitting method and the iterative successive matrix squaring algorithm for computing the core-EP inverse are investigated. The perturbation bounds related with the core-EP inverse are also estimated.

Keywords: Core-EP inverse; Drazin inverse; Moore–Penrose inverse; Characterization; Representation; Perturbation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:404-417

DOI: 10.1016/j.amc.2019.04.071

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