Minimal degree rational unimodular interpolation on the unit circle
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 88-106
We consider an interpolation problem with distinct nodes and interpolation values $\textcent \sterling $########
###$\copyright \ddot \copyright \ddot \ddot \copyright $###$\sterling \textcent $ , all on the complex unit circle, and seek interpolants of minimal degree in the class consisting of ######$\ddot \ddot \copyright \ddot $###$ \sterling $! ratios of finite Blaschke products. The focus is on the so-called damaged cases where the interpolant of minimal degree is non-uniquely determined. This paper is a continuation of the work in Glader [Comput. Methods Funct.
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Classification :
30D50, 35E05
Keywords: rational interpolation, Blaschke product, Nevanlinna parametrization
Keywords: rational interpolation, Blaschke product, Nevanlinna parametrization
@article{ETNA_2008__30__a19,
author = {Glader, Christer},
title = {Minimal degree rational unimodular interpolation on the unit circle},
journal = {Electronic transactions on numerical analysis},
pages = {88--106},
year = {2008},
volume = {30},
zbl = {1175.30035},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a19/}
}
Glader, Christer. Minimal degree rational unimodular interpolation on the unit circle. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 88-106. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a19/