Observatorio de I+D+i UPM

Descripción
In this work, we introduce an algebraic operation between bounded Hessenberg matrices and we analyze some of its properties. We call this operation m-sum and we obtain an expression for it that involves the Cholesky factorization of the corresponding Hermitian positive definite matrices associated with the Hessenberg components. This work extends a method to obtain the Hessenberg matrix of the sum of measures from the Hessenberg matrices of the individual measures, introduced recently by the authors for subnormal matrices, to matrices which are not necessarily subnormal. Moreover, we give some examples and we obtain the explicit formula for them-sum of a weighted shift. In particular, we construct an interesting example: a subnormal Hessenberg matrix obtained as the m-sum of two not subnormal Hessenberg matrices.
Internacional	Si
JCR del ISI	Si
Título de la revista	Journal of Computational And Applied Mathematics
ISSN	0377-0427
Factor de impacto JCR	1,112
Información de impacto
Volumen
DOI
Número de revista
Desde la página	98
Hasta la página	106
Mes	AGOSTO
Ranking	Q2

Esta actividad pertenece a memorias de investigación

• Autor: Emilio Torrano Gimenez (UPM)
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• Autor: M. Asuncion Sastre Rosa (UPM)
• Autor: M. del Carmen Escribano Iglesias (UPM)

• Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal