Artículo
On star-dagger matrices and the core-EP decomposition
Fecha de publicación:
01/03/2024
Editorial:
Elsevier Science
Revista:
Journal Of Computational And Applied Mathematics
ISSN:
0377-0427
e-ISSN:
1879-1778
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The concept of star-dagger matrices was introduced in 1984 by Hartwig and Spindelböck. While they completely characterized the star-dagger matrices by using a block decomposition of the form PQ00, they also proposed the following open problem: “Can the triangular form PQ0Rbe used to obtain further results on the star-dagger matrices?” In this paper, we have attempted this open problem by using an upper-triangularization of Schur's type for a square matrix, namely, the core-EP decomposition. Furthermore, similar problems regarding bi-dagger and bi-EP matrices are investigated.
Palabras clave:
BI-DAGGER
,
BI-EP
,
BI-NORMAL
,
EP MATRIX
,
PARTIAL ISOMETRY
,
STAR-DAGGER MATRIX
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Identificadores
Colecciones
Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
Ferreyra, David Eduardo; Levis, Fabián Eduardo; Malik, Saroj B.; Priori, Albina Natalia; On star-dagger matrices and the core-EP decomposition; Elsevier Science; Journal Of Computational And Applied Mathematics; 438; 1-3-2024; 1-18
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