Artículo

Parametrized solutions X of the system AXA=AEA and A^kEAX= XAEA^k for a matrix A having index k

Ferreyra, David EduardoIcon ; Lattanzi, Marina Beatriz; Levis, Fabián EduardoIcon ; Thome Coppo, Néstor Javier
Fecha de publicación: 14/11/2019
Editorial: International Linear Algebra Society
Revista: Electronic Journal of Linear Algebra
ISSN: 1081-3810
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: G-DRAZIN INVERSES , GENERALIZED INVERSES , INDEX , MATRIX EQUATIONS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/129825
URL: https://journals.uwyo.edu/index.php/ela/article/view/5169
DOI: https://doi.org/10.13001/1081-3810.4051
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Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
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
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