2020-04-09T07:09:56Z
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oai:oa.upm.es:12370
2019-04-10T14:00:42Z
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Computing the Hessenberg matrix associated with a self-similar measure
Escribano Iglesias, M. del Carmen
Giraldo Carbajo, Antonio
Sastre Rosa, María de la Asunción
Torrano Gimenez, Emilio
Telecommunications
Mathematics
Computer Science
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.
Facultad de Informática (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2011-01
info:eu-repo/semantics/article
Article
Journal of Approximation Theory, ISSN 0021-9045, 2011-01, Vol. 163, No. 1
PeerReviewed
application/pdf
eng
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jat.2010.02.008
http://oa.upm.es/12370/