Extending EP matrices by means of recent generalized inverses

[EN] It is well known that a square complex matrix is called EP if it commutes with its Moore¿Penrose inverse. In this paper, new classes of matrices which extend this concept are characterized. For that, we consider commutative equalities given by matrices of arbitrary index and generalized inverse...

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Autores: Ferreyra, D. E., Levis, F. E., Priori, A. N., Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/219897
Acceso en línea:https://riunet.upv.es/handle/10251/219897
Access Level:acceso abierto
Palabra clave:Core EP inverse
DMP inverse
WG inverse
EP matrix
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spelling Extending EP matrices by means of recent generalized inversesFerreyra, D. E.Levis, F. E.Priori, A. N.Thome, Néstor|||0000-0001-5328-6637Core EP inverseDMP inverseWG inverseEP matrix[EN] It is well known that a square complex matrix is called EP if it commutes with its Moore¿Penrose inverse. In this paper, new classes of matrices which extend this concept are characterized. For that, we consider commutative equalities given by matrices of arbitrary index and generalized inverses recently investigated in the literature. More specifically, these classes are characterized by expressions of type AmX = XAm, where X is an outer inverse of a given complex square matrix A and m is an arbitrary positive integer. The relationships between the different classes of matrices are also analyzed. Finally, a picture presents an overview of the overall studied classes.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This work was supported by the Universidad Nacional de Rio Cuarto (UNRC) under Grant 18/C614-2; Universidad Nacional de La Pampa (UNLPam), Facultad de Ingenieria under Grant Resol. Nro. 135/19; Universidad Nacional de Rio Cuarto, Grant PPI 18/C634; Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET) under Grant PIP PIBAA 28720210100658CO; and Ministerio de Ciencia, Innovacion y Universidades of Spain (MICINN) under Grant RED2022-134176-T.Springer-VerlagDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería de TelecomunicaciónInstituto Universitario de Matemática MultidisciplinarUniversidad Nacional de La PampaMinisterio de Ciencia e InnovaciónUniversidad Nacional de Río CuartoUniversitat Politècnica de ValènciaConsejo Nacional de Investigaciones Científicas y Técnicas, ArgentinaRepositorio Institucional de la Universitat Politècnica de València Riunet20242024-08-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/219897reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversidad Nacional de La Pampa Universidad Nacional de La Pampa Resol. N.° 135%2F19 del CD de la Fac. de Ing. Matrices Inversas Generalizadas y Órdenes ParcialesMinisterio de Ciencia e Innovación Ministerio de Ciencia e Innovación RED2022-134176-T RED TEMÁTICA DE ÁLGEBRA LINEAL, ANÁLISIS MATRICIAL Y APLICACIONES.Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina https://doi.org/10.13039/501100002923 PIBAA 28720210100658COUniversidad Nacional de Río Cuarto https://doi.org/10.13039/501100007481 PPI 18%2FC634Universidad Nacional de Río Cuarto https://doi.org/10.13039/501100007481 18%2FC614-2open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2198972026-06-13T07:49:27Z
dc.title.none.fl_str_mv Extending EP matrices by means of recent generalized inverses
title Extending EP matrices by means of recent generalized inverses
spellingShingle Extending EP matrices by means of recent generalized inverses
Ferreyra, D. E.
Core EP inverse
DMP inverse
WG inverse
EP matrix
title_short Extending EP matrices by means of recent generalized inverses
title_full Extending EP matrices by means of recent generalized inverses
title_fullStr Extending EP matrices by means of recent generalized inverses
title_full_unstemmed Extending EP matrices by means of recent generalized inverses
title_sort Extending EP matrices by means of recent generalized inverses
dc.creator.none.fl_str_mv Ferreyra, D. E.
Levis, F. E.
Priori, A. N.
Thome, Néstor|||0000-0001-5328-6637
author Ferreyra, D. E.
author_facet Ferreyra, D. E.
Levis, F. E.
Priori, A. N.
Thome, Néstor|||0000-0001-5328-6637
author_role author
author2 Levis, F. E.
Priori, A. N.
Thome, Néstor|||0000-0001-5328-6637
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería de Telecomunicación
Instituto Universitario de Matemática Multidisciplinar
Universidad Nacional de La Pampa
Ministerio de Ciencia e Innovación
Universidad Nacional de Río Cuarto
Universitat Politècnica de València
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Core EP inverse
DMP inverse
WG inverse
EP matrix
topic Core EP inverse
DMP inverse
WG inverse
EP matrix
description [EN] It is well known that a square complex matrix is called EP if it commutes with its Moore¿Penrose inverse. In this paper, new classes of matrices which extend this concept are characterized. For that, we consider commutative equalities given by matrices of arbitrary index and generalized inverses recently investigated in the literature. More specifically, these classes are characterized by expressions of type AmX = XAm, where X is an outer inverse of a given complex square matrix A and m is an arbitrary positive integer. The relationships between the different classes of matrices are also analyzed. Finally, a picture presents an overview of the overall studied classes.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-08-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/219897
url https://riunet.upv.es/handle/10251/219897
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Universidad Nacional de La Pampa Universidad Nacional de La Pampa Resol. N.° 135%2F19 del CD de la Fac. de Ing. Matrices Inversas Generalizadas y Órdenes Parciales
Ministerio de Ciencia e Innovación Ministerio de Ciencia e Innovación RED2022-134176-T RED TEMÁTICA DE ÁLGEBRA LINEAL, ANÁLISIS MATRICIAL Y APLICACIONES.
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina https://doi.org/10.13039/501100002923 PIBAA 28720210100658CO
Universidad Nacional de Río Cuarto https://doi.org/10.13039/501100007481 PPI 18%2FC634
Universidad Nacional de Río Cuarto https://doi.org/10.13039/501100007481 18%2FC614-2
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer-Verlag
publisher.none.fl_str_mv Springer-Verlag
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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