Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse

Haifeng Ma, Predrag S. Stanimirović, Dijana Mosić and Ivan I. Kyrchei

Applied Mathematics and Computation, 2021, vol. 404, issue C

Abstract: New properties and representations for the core-EP inverse are developed. Particularly, the core-EP inverse of an upper triangular matrix and its sign pattern are considered. Determinantal representations for the core-EP inverse and core-EP solution of linear systems are investigated. Corresponding representations of the weighted core-EP inverse are derived. The obtained results are illustrated by computational algorithms and illustrative examples. Certain results related to the perturbation constraints for the core-EP inverse are also provided. The results related with the core-EP inverse are a continuous of the results from [H. Ma and P.S. Stanimirović, Characterizations, approximation and perturbations of the Core-EP inverse, Appl. Math. Comput. 359 (2019), 404–417].

Keywords: Core-EP inverse; Schur decomposition; Sign pattern; Core-EP solution (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:404:y:2021:i:c:s0096300321003374

DOI: 10.1016/j.amc.2021.126247

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