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Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices

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Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices

dc.contributor.author	Catral, Minerva
dc.contributor.author	Lebtahi, Leila
dc.contributor.author	Stuart, Jeffrey
dc.contributor.author	Thome, Néstor
dc.date.accessioned	2020-03-09T15:02:09Z
dc.date.available	2021-08-23T04:45:05Z
dc.date.issued	2020
dc.identifier.citation	Catral, Minerva Lebtahi, Leila Stuart, Jeffrey Thome, Néstor 2020 Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices Journal of Computational and Applied Mathematics 373 112414 1 13
dc.identifier.uri	https://hdl.handle.net/10550/73470
dc.description.abstract	The {R, s+1, k}- and {R, s+1, k, ∗}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R,s + 1, k}-potent matrices is developed using characterizations involving an associated matrix pencil (A, R). The corresponding spectral study for {R, s+1, k, ∗}-potent matrices involves the pencil (A∗, R). In order to present some properties, the relevance of the projector I −AA# where A# is the group inverse of A is highlighted. In addition, some applications and numerical examples are given, particularly involving Pauli matrices and the quaternions.
dc.language.iso	eng
dc.relation.ispartof	Journal of Computational and Applied Mathematics, 2020, vol. 373, num. 112414, p. 1-13
dc.subject	Matrius (Matemàtica)
dc.title	Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices
dc.type	journal article	es_ES
dc.date.updated	2020-03-09T15:02:09Z
dc.identifier.doi	10.1016/j.cam.2019.112414
dc.identifier.idgrec	136668
dc.embargo.terms
dc.rights.accessRights	open access	es_ES