Left and right W-weighted G-Drazin inverses and new matrix partial orders

Autores
Ferreyra, David Eduardo; Mosić, D.; Priori, Albina Natalia; Llanes, M. L.
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper investigates a way to define left and right versions of the class of G-Drazin inverses forcomplex rectangular matrices. More precisely, the concepts of W-weighted left (resp. right) G-Drazininverses are introduced and characterized by means of a simultaneous core-nilpotent decomposition as well as by certain system of matrix equations. Then, new partial orders associated with these weighted generalized inverses are presented and studied.
Fil: Ferreyra, David Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
Fil: Mosić, D.. University Of Nis. Faculty of Sciences and Mathematics; Serbia
Fil: Priori, Albina Natalia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
Fil: Llanes, M. L.. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
Materia
GENERALIZED INVERSES
WEIGHTED GENERALIZED INVERSES
G-DRAZIN INVERSES
MATRIX PARTIAL ORDERS
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:11336/271904
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Left and right W-weighted G-Drazin inverses and new matrix partial ordersFerreyra, David EduardoMosić, D.Priori, Albina NataliaLlanes, M. L.GENERALIZED INVERSESWEIGHTED GENERALIZED INVERSESG-DRAZIN INVERSESMATRIX PARTIAL ORDERShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper investigates a way to define left and right versions of the class of G-Drazin inverses forcomplex rectangular matrices. More precisely, the concepts of W-weighted left (resp. right) G-Drazininverses are introduced and characterized by means of a simultaneous core-nilpotent decomposition as well as by certain system of matrix equations. Then, new partial orders associated with these weighted generalized inverses are presented and studied.Fil: Ferreyra, David Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; ArgentinaFil: Mosić, D.. University Of Nis. Faculty of Sciences and Mathematics; SerbiaFil: Priori, Albina Natalia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; ArgentinaFil: Llanes, M. L.. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; ArgentinaUnión Matemática Argentina2025-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/271904Ferreyra, David Eduardo; Mosić, D.; Priori, Albina Natalia; Llanes, M. L.; Left and right W-weighted G-Drazin inverses and new matrix partial orders; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 2025; 2-2025; 1-160041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/5023info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.5023info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:31:23Zoai:ri.conicet.gov.ar:11336/271904instacron: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 10:31:23.366CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Left and right W-weighted G-Drazin inverses and new matrix partial orders
title Left and right W-weighted G-Drazin inverses and new matrix partial orders
spellingShingle Left and right W-weighted G-Drazin inverses and new matrix partial orders
Ferreyra, David Eduardo
GENERALIZED INVERSES
WEIGHTED GENERALIZED INVERSES
G-DRAZIN INVERSES
MATRIX PARTIAL ORDERS
title_short Left and right W-weighted G-Drazin inverses and new matrix partial orders
title_full Left and right W-weighted G-Drazin inverses and new matrix partial orders
title_fullStr Left and right W-weighted G-Drazin inverses and new matrix partial orders
title_full_unstemmed Left and right W-weighted G-Drazin inverses and new matrix partial orders
title_sort Left and right W-weighted G-Drazin inverses and new matrix partial orders
dc.creator.none.fl_str_mv Ferreyra, David Eduardo
Mosić, D.
Priori, Albina Natalia
Llanes, M. L.
author Ferreyra, David Eduardo
author_facet Ferreyra, David Eduardo
Mosić, D.
Priori, Albina Natalia
Llanes, M. L.
author_role author
author2 Mosić, D.
Priori, Albina Natalia
Llanes, M. L.
author2_role author
author
author
dc.subject.none.fl_str_mv GENERALIZED INVERSES
WEIGHTED GENERALIZED INVERSES
G-DRAZIN INVERSES
MATRIX PARTIAL ORDERS
topic GENERALIZED INVERSES
WEIGHTED GENERALIZED INVERSES
G-DRAZIN INVERSES
MATRIX PARTIAL ORDERS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper investigates a way to define left and right versions of the class of G-Drazin inverses forcomplex rectangular matrices. More precisely, the concepts of W-weighted left (resp. right) G-Drazininverses are introduced and characterized by means of a simultaneous core-nilpotent decomposition as well as by certain system of matrix equations. Then, new partial orders associated with these weighted generalized inverses are presented and studied.
Fil: Ferreyra, David Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
Fil: Mosić, D.. University Of Nis. Faculty of Sciences and Mathematics; Serbia
Fil: Priori, Albina Natalia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
Fil: Llanes, M. L.. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina
description This paper investigates a way to define left and right versions of the class of G-Drazin inverses forcomplex rectangular matrices. More precisely, the concepts of W-weighted left (resp. right) G-Drazininverses are introduced and characterized by means of a simultaneous core-nilpotent decomposition as well as by certain system of matrix equations. Then, new partial orders associated with these weighted generalized inverses are presented and studied.
publishDate 2025
dc.date.none.fl_str_mv 2025-02
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/11336/271904
Ferreyra, David Eduardo; Mosić, D.; Priori, Albina Natalia; Llanes, M. L.; Left and right W-weighted G-Drazin inverses and new matrix partial orders; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 2025; 2-2025; 1-16
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/271904
identifier_str_mv Ferreyra, David Eduardo; Mosić, D.; Priori, Albina Natalia; Llanes, M. L.; Left and right W-weighted G-Drazin inverses and new matrix partial orders; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 2025; 2-2025; 1-16
0041-6932
1669-9637
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/5023
info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.5023
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
dc.publisher.none.fl_str_mv Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
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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