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Title: The structure of the minimal Padé approximation table
Authors: Xu, Guo-liang ×
Bultheel, Adhemar
Issue Date: Nov-1988
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW117
Abstract: The problem of minimal Padé approximation was conceived by A. Bultheel
and M. Van Barel in their study of the Euclidean algorithm in the matrix
case.
In the scalar case, the minimal Padé approximants are generically equal to the
classical Padé approximants, but a minimal Padé approximant is not
characterized by a numerator and
a denominator degree, but by two other parameters.
A table with respect to these parameters is considered here.
We characterize the structure of this minimal Padé approximation table by
establishing connections with the classical Padé table. A property of
square block structure of the table is formulated.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author

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