Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Hessenberg matrix for sums of Hermitian positive definite matrices and weighted shifts
Year:2011
Research Areas
  • Physics chemical and mathematical,
  • Information technology and adata processing
Information
Abstract
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.
International
Si
JCR
Si
Title
Journal of Computational And Applied Mathematics
ISBN
0377-0427
Impact factor JCR
1,112
Impact info
Volume
Journal number
From page
98
To page
106
Month
AGOSTO
Ranking
Q2
Participants
  • Autor: Emilio Torrano Gimenez (UPM)
  • Autor: Antonio Giraldo Carbajo (UPM)
  • Autor: M. Asuncion Sastre Rosa (UPM)
  • Autor: M. del Carmen Escribano Iglesias (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
S2i 2020 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
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