Abstract
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.
Original language | English |
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Pages (from-to) | 88-106 |
Number of pages | 19 |
Journal | Electronic Transactions on Numerical Analysis |
Volume | 30 |
Publication status | Published - 2008 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Blaschke product
- Nevanlinna parametrization
- Rational interpolation