Title: A general module theoretic framework for vector M-Padé and rational interpolation
Authors: Van Barel, Marc ×
Bultheel, Adhemar #
Issue Date: 1992
Publisher: J.C. Baltzer
Series Title: Numerical algorithms vol:3 pages:451-461
Conference: International Congress on Extrapolation and Rational Approximation location:Tenerife, Spain date:January 1992
Abstract: A general module theoretic framework is used to solve several classical interpolation problems and generalizations thereof in a unified way. These problems are divided into two main families. The first family contains the classical linearized Padé, Padé-Hermite and M-Padé problems and the generalization of the vector M-Padé problem. The second family consists of the Padé problem, the scalar, vector and matrix rational interpolation problems. The solution method is straightforward, recursive and efficient. It can follow any ``path'' in the ``solution table'' even if this ``solution table'' is nonnormal (nonperfect). Reordering of the interpolation data is not required.
ISSN: 1017-1398
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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