INVESTIGADORES
LEVIS Fabian Eduardo
artículos
Título:
On star-dagger matrices and the core-EP decomposition
Autor/es:
FERREYRA, D.E.; LEVIS, F.E.; MALIK, SAROJ B.; PRIORI, A.N.
Revista:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2024 vol. 438
ISSN:
0377-0427
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.
