A new algorithm for meromorphic Nevanlinna-Pick interpolation

Citations of this article
Mendeley users who have this article in their library.
Get full text


Let D be be the open unit disc H ∞0 the space of all bounded analytic functions in D and H ∞k the set of all functions of the form f(z)/(z-z 1)...(z-z k ) where z 1...z k D and f H ∞0. Given {z 1...z n }{w 1...w n } where z i Dw i [InlineMediaObject not available: see fulltext.] and z i ≠ z j if i ≠ j we show for 0 ≤ k ≤ n-1 under certain assumptions how to construct the unique interpolating function B k H ∞k B k (z j )=w j of minimal essential supremum norm on ∂ D by solving an eigenvalue problem defined by the interpolation data. The function B k is a scaled quotient of two finite Blaschke products. © Springer-Verlag Berlin Heidelberg 2005.




Glader, C., & Lindström, M. (2005). A new algorithm for meromorphic Nevanlinna-Pick interpolation. Numerische Mathematik, 100(1), 49–69. https://doi.org/10.1007/s00211-005-0584-7

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free