Artículo
Extending EP matrices by means of recent generalized inverses
Fecha de publicación:
06/2024
Editorial:
Birkhauser Verlag Ag
Revista:
Aequationes Mathematicae
ISSN:
0001-9054
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
It is well known that a square complex matrix is called EP if it commutes with its Moore-Penrose inverse. In this paper, new classes of matrices which extend this concept are characterized. For that, we consider commutative equalities given by matrices of arbitrary index and generalized inverses recently investigated in the literature. More specifically, these classes are characterized by expressions of type $A^mX=XA^m$, where $X$ is an outer inverse of a given complex square matrix $A$ and $m$ is an arbitrary positive integer. The relationships between the different classes of matrices are also analyzed. Finally, a picture presents an overview of the overall studied classes.
Palabras clave:
CORE EP INVERSE
,
DMP INVERSE
,
WG INVERSE
,
EP MATRIX
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Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
Ferreyra, D. E.; Levis, Fabián Eduardo; Priori, Albina Natalia; Thome, N.; Extending EP matrices by means of recent generalized inverses; Birkhauser Verlag Ag; Aequationes Mathematicae; 6-2024; 1-19
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