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. Copyright © 2008, Kent State University.
|Number of pages||19|
|Journal||Electronic Transactions on Numerical Analysis|
|Publication status||Published - 2008|
|MoE publication type||A1 Journal article-refereed|