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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

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dc.contributor.author Catral, M. es_ES
dc.contributor.author Lebtahi, L. es_ES
dc.contributor.author Stuart, J. es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2021-02-17T04:32:30Z
dc.date.available 2021-02-17T04:32:30Z
dc.date.issued 2020-08-01 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/161611
dc.description.abstract [EN] 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. es_ES
dc.description.sponsorship This work has been partially supported by Ministerio de Economia, Industria y Competitividad, Spain (Red de Excelencia MTM2017-90682-REDT). es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Computational and Applied Mathematics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject K-involutory matrix es_ES
dc.subject S-potent matrix es_ES
dc.subject {R, s+1, k}-potent matrix es_ES
dc.subject Spectrum es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices es_ES
dc.type Artículo es_ES
dc.type Comunicación en congreso es_ES
dc.identifier.doi 10.1016/j.cam.2019.112414 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Catral, M.; Lebtahi, L.; Stuart, J.; Thome, N. (2020). Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices. Journal of Computational and Applied Mathematics. 373:1-13. https://doi.org/10.1016/j.cam.2019.112414 es_ES
dc.description.accrualMethod S es_ES
dc.relation.conferencename Numerical Analysis and Scientific Computing with Applications Conference (NASCA 2018) es_ES
dc.relation.conferencedate Julio 02-06,2018 es_ES
dc.relation.conferenceplace Kalamata, Greece es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.cam.2019.112414 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 13 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 373 es_ES
dc.relation.pasarela S\392398 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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