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Memorias de investigación
Communications at congresses:
m-Sums of Hessenberg Matrices
Year:2009
Research Areas
  • Mathematics
Information
Abstract
It is well known that a bounded Hessenberg matrix with positive subdiagonal defines a subnormal operator and there exits a measure as the solution of the associated moment problem. In a recent work, the authors introduced a method to obtain the Hessenberg matrix of a sum of measures from the Hessenberg matrix of the component measures. In this work we extend this results to bounded Hessenberg matrices that represent not subnormal operators. We will denote this operation a m-sum and we give its expression in terms of the Cholesky factorization of the corresponding hermitian positive definite matrices associated to the Hessenberg components. Finally, we give some examples to compute the m-sum introduced in this paper obtaining the exact value of the finite sections of the Hessenberg matrix.
International
Si
Congress
10th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA 2010)
960
Place
Leuven (Belgica)
Reviewers
Si
ISBN/ISSN
1111111111
Start Date
20/07/2009
End Date
25/07/2009
From page
40
To page
40
Orthogonal Polynomials, Special Functions and Applications
Participants
  • Autor: M. del Carmen Escribano Iglesias (UPM)
  • Autor: M. Asuncion Sastre Rosa (UPM)
  • Autor: Emilio Torrano Gimenez (UPM)
  • Autor: Antonio Giraldo Carbajo (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
  • Departamento: Matemática Aplicada (Facultad de Informática)
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