Asymptotics and Numerics of Zeros of Polynomials That Are Related to DaubechiesWavelets

摘要

The author gives asymptotic approximations of the zeros of certain high degreepolynomials. 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.