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research article
Recursive solutions of rational interpolation problems via fast matrix factorization
We describe a novel approach to analytic rational interpolation problems of the Hermite-Fejér type, based on the fast generalized Schur algorithm for the recursive triangular factorization of structured matrices. We use the interpolation data to construct a convenient so-called generator for the factorization algorithm. The recursive algorithm then leads to a transmission-line cascade of first-order sections that makes evident the interpolation property. We also give state-space descriptions for each section and for the entire cascade.
Type
research article
Author(s)
Date Issued
1994
Publisher
Published in
Volume
20
Issue
1
Start page
84
End page
118
Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
Available on Infoscience
December 19, 2017
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