Representations of the weighted WG inverse and a rank equation's solution

Autores
Ferreyra, David Eduardo; Orquera, Valentina; Thome Coppo, Néstor Javier
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we present several representations of the W-weighted WG inverse. These representations are expressed in terms of matrix powers as well as in terms of matrix products involving only the Moore–Penrose inverse. In addition, a new characterization of the W-weighted WG inverse is presented by using a rank equation.
Fil: Ferreyra, David Eduardo. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Orquera, Valentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
Fil: Thome Coppo, Néstor Javier. Universidad Politécnica de Valencia; España
Materia
15A09
GENERALIZED INVERSE
RANK EQUATION
W-WEIGHTED DRAZIN INVERSE
W-WEIGHTED WG INVERSE
WEIGHTED CORE EP INVERSE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/201725
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/201725
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Representations of the weighted WG inverse and a rank equation's solutionFerreyra, David EduardoOrquera, ValentinaThome Coppo, Néstor Javier15A09GENERALIZED INVERSERANK EQUATIONW-WEIGHTED DRAZIN INVERSEW-WEIGHTED WG INVERSEWEIGHTED CORE EP INVERSEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, we present several representations of the W-weighted WG inverse. These representations are expressed in terms of matrix powers as well as in terms of matrix products involving only the Moore–Penrose inverse. In addition, a new characterization of the W-weighted WG inverse is presented by using a rank equation.Fil: Ferreyra, David Eduardo. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Orquera, Valentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; ArgentinaFil: Thome Coppo, Néstor Javier. Universidad Politécnica de Valencia; EspañaTaylor & Francis Ltd2022-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/201725Ferreyra, David Eduardo; Orquera, Valentina; Thome Coppo, Néstor Javier; Representations of the weighted WG inverse and a rank equation's solution; Taylor & Francis Ltd; Linear And Multilinear Algebra; 71; 2; 1-2022; 226-2410308-10871563-5139CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1080/03081087.2021.2023449info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/03081087.2021.2023449info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:07Zoai:ri.conicet.gov.ar:11336/201725instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:36:07.382CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Representations of the weighted WG inverse and a rank equation's solution
title Representations of the weighted WG inverse and a rank equation's solution
spellingShingle Representations of the weighted WG inverse and a rank equation's solution
Ferreyra, David Eduardo
15A09
GENERALIZED INVERSE
RANK EQUATION
W-WEIGHTED DRAZIN INVERSE
W-WEIGHTED WG INVERSE
WEIGHTED CORE EP INVERSE
title_short Representations of the weighted WG inverse and a rank equation's solution
title_full Representations of the weighted WG inverse and a rank equation's solution
title_fullStr Representations of the weighted WG inverse and a rank equation's solution
title_full_unstemmed Representations of the weighted WG inverse and a rank equation's solution
title_sort Representations of the weighted WG inverse and a rank equation's solution
dc.creator.none.fl_str_mv Ferreyra, David Eduardo
Orquera, Valentina
Thome Coppo, Néstor Javier
author Ferreyra, David Eduardo
author_facet Ferreyra, David Eduardo
Orquera, Valentina
Thome Coppo, Néstor Javier
author_role author
author2 Orquera, Valentina
Thome Coppo, Néstor Javier
author2_role author
author
dc.subject.none.fl_str_mv 15A09
GENERALIZED INVERSE
RANK EQUATION
W-WEIGHTED DRAZIN INVERSE
W-WEIGHTED WG INVERSE
WEIGHTED CORE EP INVERSE
topic 15A09
GENERALIZED INVERSE
RANK EQUATION
W-WEIGHTED DRAZIN INVERSE
W-WEIGHTED WG INVERSE
WEIGHTED CORE EP INVERSE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper, we present several representations of the W-weighted WG inverse. These representations are expressed in terms of matrix powers as well as in terms of matrix products involving only the Moore–Penrose inverse. In addition, a new characterization of the W-weighted WG inverse is presented by using a rank equation.
Fil: Ferreyra, David Eduardo. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Orquera, Valentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
Fil: Thome Coppo, Néstor Javier. Universidad Politécnica de Valencia; España
description In this paper, we present several representations of the W-weighted WG inverse. These representations are expressed in terms of matrix powers as well as in terms of matrix products involving only the Moore–Penrose inverse. In addition, a new characterization of the W-weighted WG inverse is presented by using a rank equation.
publishDate 2022
dc.date.none.fl_str_mv 2022-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/201725
Ferreyra, David Eduardo; Orquera, Valentina; Thome Coppo, Néstor Javier; Representations of the weighted WG inverse and a rank equation's solution; Taylor & Francis Ltd; Linear And Multilinear Algebra; 71; 2; 1-2022; 226-241
0308-1087
1563-5139
CONICET Digital
CONICET
url http://hdl.handle.net/11336/201725
identifier_str_mv Ferreyra, David Eduardo; Orquera, Valentina; Thome Coppo, Néstor Javier; Representations of the weighted WG inverse and a rank equation's solution; Taylor & Francis Ltd; Linear And Multilinear Algebra; 71; 2; 1-2022; 226-241
0308-1087
1563-5139
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1080/03081087.2021.2023449
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/03081087.2021.2023449
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis Ltd
publisher.none.fl_str_mv Taylor & Francis Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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