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.


Published in:
Integral Equations and Operator Theory, 20, 1, 84-118
Year:
1994
Publisher:
Birkhäuser Basel
ISSN:
1420-8989
Laboratories:




 Record created 2017-12-19, last modified 2018-03-17


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