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Descripción
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| We consider the self-similar measure on the complex plane C associated to an iterated function system (IFS) with probabilities. From this IFS we define an operator in a complete metric space of infinite matrices. Using the expression obtained in a previous work of the authors, we prove that this operator has as fixed point the moment matrix of the self-similar measure. As a consequence, we obtain a very efficient algorithm to compute the moment matrix of the self-similar measure. Finally, in order to estimate the rate of convergence of the algorithm, we find an upper bound of the norm of this contractive operator. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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J COMPUT APPL MATH |
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ISSN
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0377-0427 |
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Factor de impacto JCR
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0,943 |
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Información de impacto
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Volumen
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207 |
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DOI
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Número de revista
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2 |
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Desde la página
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78 |
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Hasta la página
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89 |
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Mes
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OCTUBRE |
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Ranking
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