Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k
- Autores
- Ferreyra, David Eduardo; Lattanzi, Marina Beatriz; Levis, Fabián Eduardo; Thome Coppo, Néstor Javier
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Let A and E be n × n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and AkEAX = XAEAk, for k being the index of A. In addition, its general solution is derived in terms of a G-Drazin inverse of A. As consequences, new representations are obtained for the set of all G-Drazin inverses; some interesting applications are also derived to show the importance of the obtained formulas.
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. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Lattanzi, Marina Beatriz. Universidad Nacional de la Pampa. Facultad de Cs.exactas y Naturales. Dto de Matemática; Argentina
Fil: Levis, Fabián 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. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Thome Coppo, Néstor Javier. Universidad Politécnica de Valencia; España - Materia
-
G-DRAZIN INVERSES
GENERALIZED INVERSES
INDEX
MATRIX EQUATIONS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/129825
Ver los metadatos del registro completo
id |
CONICETDig_c34ca4b1c6ed30768d767eebd5232f71 |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/129825 |
network_acronym_str |
CONICETDig |
repository_id_str |
3498 |
network_name_str |
CONICET Digital (CONICET) |
spelling |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index kFerreyra, David EduardoLattanzi, Marina BeatrizLevis, Fabián EduardoThome Coppo, Néstor JavierG-DRAZIN INVERSESGENERALIZED INVERSESINDEXMATRIX EQUATIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let A and E be n × n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and AkEAX = XAEAk, for k being the index of A. In addition, its general solution is derived in terms of a G-Drazin inverse of A. As consequences, new representations are obtained for the set of all G-Drazin inverses; some interesting applications are also derived to show the importance of the obtained formulas.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. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Lattanzi, Marina Beatriz. Universidad Nacional de la Pampa. Facultad de Cs.exactas y Naturales. Dto de Matemática; ArgentinaFil: Levis, Fabián 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. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Thome Coppo, Néstor Javier. Universidad Politécnica de Valencia; EspañaInternational Linear Algebra Society2019-11-14info: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/11336/129825Ferreyra, David Eduardo; Lattanzi, Marina Beatriz; Levis, Fabián Eduardo; Thome Coppo, Néstor Javier; Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k; International Linear Algebra Society; Electronic Journal of Linear Algebra; 35; 1; 14-11-2019; 503-5101081-3810CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.uwyo.edu/index.php/ela/article/view/5169info:eu-repo/semantics/altIdentifier/doi/10.13001/1081-3810.4051info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:58:15Zoai:ri.conicet.gov.ar:11336/129825instacron: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 09:58:16.187CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k |
title |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k |
spellingShingle |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k Ferreyra, David Eduardo G-DRAZIN INVERSES GENERALIZED INVERSES INDEX MATRIX EQUATIONS |
title_short |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k |
title_full |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k |
title_fullStr |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k |
title_full_unstemmed |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k |
title_sort |
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k |
dc.creator.none.fl_str_mv |
Ferreyra, David Eduardo Lattanzi, Marina Beatriz Levis, Fabián Eduardo Thome Coppo, Néstor Javier |
author |
Ferreyra, David Eduardo |
author_facet |
Ferreyra, David Eduardo Lattanzi, Marina Beatriz Levis, Fabián Eduardo Thome Coppo, Néstor Javier |
author_role |
author |
author2 |
Lattanzi, Marina Beatriz Levis, Fabián Eduardo Thome Coppo, Néstor Javier |
author2_role |
author author author |
dc.subject.none.fl_str_mv |
G-DRAZIN INVERSES GENERALIZED INVERSES INDEX MATRIX EQUATIONS |
topic |
G-DRAZIN INVERSES GENERALIZED INVERSES INDEX MATRIX EQUATIONS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Let A and E be n × n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and AkEAX = XAEAk, for k being the index of A. In addition, its general solution is derived in terms of a G-Drazin inverse of A. As consequences, new representations are obtained for the set of all G-Drazin inverses; some interesting applications are also derived to show the importance of the obtained formulas. 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. Centro Científico Tecnológico Conicet - Córdoba; Argentina Fil: Lattanzi, Marina Beatriz. Universidad Nacional de la Pampa. Facultad de Cs.exactas y Naturales. Dto de Matemática; Argentina Fil: Levis, Fabián 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. Centro Científico Tecnológico Conicet - Córdoba; Argentina Fil: Thome Coppo, Néstor Javier. Universidad Politécnica de Valencia; España |
description |
Let A and E be n × n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and AkEAX = XAEAk, for k being the index of A. In addition, its general solution is derived in terms of a G-Drazin inverse of A. As consequences, new representations are obtained for the set of all G-Drazin inverses; some interesting applications are also derived to show the importance of the obtained formulas. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-11-14 |
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/11336/129825 Ferreyra, David Eduardo; Lattanzi, Marina Beatriz; Levis, Fabián Eduardo; Thome Coppo, Néstor Javier; Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k; International Linear Algebra Society; Electronic Journal of Linear Algebra; 35; 1; 14-11-2019; 503-510 1081-3810 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/129825 |
identifier_str_mv |
Ferreyra, David Eduardo; Lattanzi, Marina Beatriz; Levis, Fabián Eduardo; Thome Coppo, Néstor Javier; Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k; International Linear Algebra Society; Electronic Journal of Linear Algebra; 35; 1; 14-11-2019; 503-510 1081-3810 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://journals.uwyo.edu/index.php/ela/article/view/5169 info:eu-repo/semantics/altIdentifier/doi/10.13001/1081-3810.4051 |
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 |
International Linear Algebra Society |
publisher.none.fl_str_mv |
International Linear Algebra Society |
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 |
_version_ |
1844613737613361152 |
score |
13.070432 |