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

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

1996-10-21

arxiv.org/abs/math/9610225v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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