کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4607679 | 1337877 | 2011 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Computing the Hessenberg matrix associated with a self-similar measure Computing the Hessenberg matrix associated with a self-similar measure](/preview/png/4607679.png)
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.
Journal: Journal of Approximation Theory - Volume 163, Issue 1, January 2011, Pages 49–64