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research article

Recursive solutions of rational interpolation problems via fast matrix factorization

Sayed, Ali H.  
•
Kailath, T.
•
Lev-Ari, H.
Show more
1994
Integral Equations and Operator Theory

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.

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Type
research article
DOI
10.1007/BF01194750
Author(s)
Sayed, Ali H.  
•
Kailath, T.
•
Lev-Ari, H.
•
Constantinescu, T.
Date Issued

1994

Publisher

Birkhäuser Basel

Published in
Integral Equations and Operator Theory
Volume

20

Issue

1

Start page

84

End page

118

Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
ASL  
Available on Infoscience
December 19, 2017
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/142918
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