Title: Growth properties of Nevanlinna matrices for rational moment problems
Authors: Bultheel, Adhemar
González-Vera, Pablo
Hendriksen, Erik
Njåstad, Olav
Issue Date: Feb-2010
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW561
Abstract: We consider rational moment problems on the real line with their associated orthogonal rational functions. There exists a Nevanlinna type parameterization relating to the problem, with associated Nevanlinna matrices of functions having singularities in the closure of the set of poles of the rational functions belonging to the problem. We prove results related to the growth at the singularities of the functions in a Nevanlinna matrix, and in particular provide bounds on the growth analogous to the corresponding result in the classical polynomial case, when the number of singularities is finite.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section

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