Title: Error analysis of incoming and outgoing schemes for the trigonmetric moment problem
Authors: Bultheel, Adhemar # ×
Issue Date: 1981
Publisher: Springer Verlag
Series Title: Lecture Notes in Mathematics pages:100-109
Conference: Padé and Rational approximation, Theory and Applications location:Amsterdan, The Netherlands date:29-31 October 1980
Abstract: The solution of the trigonometric moment problem involves the computation of a (0/n) Laurent-Padé approximant for a positive real function on the complex unit circle. The incoming scheme is equivalent to the recursion for Szegö's orthogonal polynomials, while the outgoing scheme is equivalent to the Schur recursion for contractions of the unit disc. The numerical stability of both algorithms is proved under certain conditions via a backward error analysis.
Description: Padé Approximation and its Applications, Amsterdam 1980
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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