Title: On the existence of para-orthogonal rational functions on the unit circle
Authors: Bultheel, Adhemar
Lasarow, Andreas
Issue Date: Feb-2009
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW535
Abstract: Similar as in the classical case of polynomials, as is known, para-orthogonal rational functions on the unit circle can be used to obtain quadrature formulas of Szegö-type to approximate some integrals. In the present paper we carry out a thorough discussion of the existence of such rational functions in terms of the underlying Borel measure on the unit circle.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section

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