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dc.contributor.author
Ferreyra, David Eduardo
dc.contributor.author
Lattanzi, Marina Beatriz
dc.contributor.author
Levis, Fabián Eduardo
dc.contributor.author
Thome Coppo, Néstor Javier
dc.date.available
2021-04-12T12:43:24Z
dc.date.issued
2019-11-14
dc.identifier.citation
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
dc.identifier.issn
1081-3810
dc.identifier.uri
http://hdl.handle.net/11336/129825
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
International Linear Algebra Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
G-DRAZIN INVERSES
dc.subject
GENERALIZED INVERSES
dc.subject
INDEX
dc.subject
MATRIX EQUATIONS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-03-25T13:53:19Z
dc.journal.volume
35
dc.journal.number
1
dc.journal.pagination
503-510
dc.journal.pais
Israel
dc.journal.ciudad
Haifa
dc.description.fil
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
dc.description.fil
Fil: Lattanzi, Marina Beatriz. Universidad Nacional de la Pampa. Facultad de Cs.exactas y Naturales. Dto de Matemática; Argentina
dc.description.fil
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
dc.description.fil
Fil: Thome Coppo, Néstor Javier. Universidad Politécnica de Valencia; España
dc.journal.title
Electronic Journal of Linear Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.uwyo.edu/index.php/ela/article/view/5169
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.13001/1081-3810.4051
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