Observatorio de I+D+i UPM

Descripción
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.
Internacional	Si
Nombre congreso	10th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA 2010)
Tipo de participación	960
Lugar del congreso	Leuven (Belgica)
Revisores	Si
ISBN o ISSN	1111111111
DOI
Fecha inicio congreso	20/07/2009
Fecha fin congreso	25/07/2009
Desde la página	40
Hasta la página	40
Título de las actas	Orthogonal Polynomials, Special Functions and Applications

Esta actividad pertenece a memorias de investigación

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

• Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
• Departamento: Matemática Aplicada (Facultad de Informática)