Computing the Hessenberg matrix associated with a self-similar measure
Data(s) |
01/01/2011
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Resumo |
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. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
eng |
Publicador |
Facultad de Informática (UPM) |
Relação |
http://oa.upm.es/12370/2/INVE_MEM_2011_112389.pdf http://dx.doi.org/10.1016/j.jat.2010.02.008 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jat.2010.02.008 |
Direitos |
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess |
Fonte |
Journal of Approximation Theory, ISSN 0021-9045, 2011-01, Vol. 163, No. 1 |
Palavras-Chave | #Telecomunicaciones #Matemáticas #Informática |
Tipo |
info:eu-repo/semantics/article Artículo PeerReviewed |