Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets
Classical Analysis and ODEs
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.math/9610225,
title = {Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets},
author = {Nico M. Temme},
journal= {arXiv preprint arXiv:math/9610225},
year = {2025}
}