Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Computing the Hessenberg matrix associated with a self-similar measure
Year:2010
Research Areas
  • Mathematics
Information
Abstract
We introduce in this paper a method to calculate the Hessenberg matrix of a sum of measures from the Hessenberg matrices of the component measures. Our method extends the spectral techniques used by G. Mantica to calculate the Jacobi matrix associated with a sum of measures from the Jacobi matrices of each of the measures. We apply this method to approximate the Hessenberg matrix associated with a self-similar measure and compare it with the result obtained by a former method for self-similar measures which uses a fixed point theorem for moment matrices. Results are given for a series of classical examples of self-similar measures. Finally, we also apply the method introduced in this paper to some examples of sums of (not self-similar) measures obtaining the exact value of the sections of the Hessenberg matrix.
International
Si
JCR
Si
Title
JOURNAL OF APPROXIMATION THEORY
ISBN
0021-9045
Impact factor JCR
0,904
Impact info
Volume
Journal number
From page
49
To page
64
Month
ENERO
Ranking
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)
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)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)