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Proceedings Paper

Orthogonal rational functions and diagonal-plus-semiseparable matrices
Author(s): Marc Van Barel; Dario Fasino; Luca Gemignani; Nicola Mastronardi
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Paper Abstract

The space of all proper rational functions with prescribed real poles is considered. Given a set of points zi on the real line and the weights wi, we define the discrete inner product (formula in paper). In this paper we derive an efficient method to compute the coefficients of a recurrence relation generating a set of orthonormal rational basis functions with respect to the discrete inner product. We will show that these coefficients can be computed by solving an inverse eigenvalue problem for a diagonal-plus-semiseparable matrix.

Paper Details

Date Published: 6 December 2002
PDF: 9 pages
Proc. SPIE 4791, Advanced Signal Processing Algorithms, Architectures, and Implementations XII, (6 December 2002); doi: 10.1117/12.453815
Show Author Affiliations
Marc Van Barel, Katholieke Univ. Leuven (Belgium)
Dario Fasino, Univ. degli Studi di Udine (Italy)
Luca Gemignani, Univ. degli Studi di Pisa (Italy)
Nicola Mastronardi, IAC/CNR (Italy)

Published in SPIE Proceedings Vol. 4791:
Advanced Signal Processing Algorithms, Architectures, and Implementations XII
Franklin T. Luk, Editor(s)

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