ASYMPTOTICS AND NUMERICS OF ZEROS OF POLYNOMIALS THAT ARE RELATED TO DAUBECHIES WAVELETS

Authors
Citation
Nm. Temme, ASYMPTOTICS AND NUMERICS OF ZEROS OF POLYNOMIALS THAT ARE RELATED TO DAUBECHIES WAVELETS, Applied and computational harmonic analysis, 4(4), 1997, pp. 414-428
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
10635203
Volume
4
Issue
4
Year of publication
1997
Pages
414 - 428
Database
ISI
SICI code
1063-5203(1997)4:4<414:AANOZO>2.0.ZU;2-C
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 orthogo nal Daubechies wavelets. Computational schemes are presented to obtain the numerical values of the zeros within high precision. (C) 1997 Aca demic Press.