Minimal degree rational unimodular interpolation on the unit circle

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We consider an interpolation problem with n distinct nodes z1, . . . Zn and n interpolation values w1 . . ., w n, all on the complex unit circle, and seek interpolants b(z) of minimal degree in the class consisting of 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. Theory, 6 (2006), pp. 481-492], which treated the uniquely solvable fragile and elastic cases.

Sidor (från-till)88-106
Antal sidor19
TidskriftElectronic Transactions on Numerical Analysis
StatusPublicerad - 2008
MoE-publikationstypA1 Tidskriftsartikel-refererad


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