کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642706 1341353 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A fixed point theorem for moment matrices of self-similar measures
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A fixed point theorem for moment matrices of self-similar measures
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 207, Issue 2, 15 October 2007, Pages 352-359
نویسندگان
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