Title
A general module theoretic framework for vector M-Padé and matrix rational interpolation
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 to 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.
Year
DOI
Venue
1992
10.1007/BF02141952
Numerical Algorithms
Field
DocType
Volume
Mathematical optimization,Polynomial interpolation,Algebra,Spline interpolation,Mathematical analysis,Interpolation,Linear interpolation,Trilinear interpolation,Birkhoff interpolation,Mathematics,Inverse quadratic interpolation,Bilinear interpolation
Journal
3
Issue
ISSN
Citations 
1
1572-9265
18
PageRank 
References 
Authors
1.46
1
2
Name
Order
Citations
PageRank
Marc Van Barel129445.82
A. Bultheel211717.02