Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets

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1. Verfasser: Temme, Nico M.
Format: Preprint
Veröffentlicht: 1996
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author Temme, Nico M.
author_facet Temme, Nico M.
contents We give asymptotic approximations of the zeros of certain high degree polynomials. The zeros can be used to compute the filter coefficients in the dilation equations which define the compactly supported orthogonal Daubechies wavelets. Computational schemes are presented to obtain the numerical values of the zeros within high precision.
format Preprint
id arxiv_https___arxiv_org_abs_math_9610225
institution arXiv
publishDate 1996
record_format arxiv
spellingShingle Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets
Temme, Nico M.
Classical Analysis and ODEs
Numerical Analysis
We give asymptotic approximations of the zeros of certain high degree polynomials. The zeros can be used to compute the filter coefficients in the dilation equations which define the compactly supported orthogonal Daubechies wavelets. Computational schemes are presented to obtain the numerical values of the zeros within high precision.
title Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets
topic Classical Analysis and ODEs
Numerical Analysis
url https://arxiv.org/abs/math/9610225