The University of Southampton
University of Southampton Institutional Repository

On the Takagi interpolation problem

On the Takagi interpolation problem
On the Takagi interpolation problem
In this paper we approach the interpolation problem of Takagi from the perspective of time-series modeling. The framework of exact identification and the notion of MPUM are used in order to generalize some results on the Nevanlinna interpolation problem. These results are of independent interest and concern the relation between the roots of the determinant of the denominator of an unfalsified model, and the signature of the Pick matrix of the data.
453-470
Kaneko, Osamu
b06e84b6-acad-41ca-9113-91a2be60696c
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Kaneko, Osamu
b06e84b6-acad-41ca-9113-91a2be60696c
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Kaneko, Osamu and Rapisarda, Paolo (2007) On the Takagi interpolation problem. Linear Algebra and Its Applications, 425 (2-3), 453-470.

Record type: Article

Abstract

In this paper we approach the interpolation problem of Takagi from the perspective of time-series modeling. The framework of exact identification and the notion of MPUM are used in order to generalize some results on the Nevanlinna interpolation problem. These results are of independent interest and concern the relation between the roots of the determinant of the denominator of an unfalsified model, and the signature of the Pick matrix of the data.

Text
FuhrmaannFestschrift3.pdf - Other
Download (251kB)

More information

Published date: September 2007
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 263254
URI: http://eprints.soton.ac.uk/id/eprint/263254
PURE UUID: 9a4e117b-ff30-419a-abb2-f1c05fd0b029

Catalogue record

Date deposited: 18 Dec 2006
Last modified: 14 Mar 2024 07:27

Export record

Contributors

Author: Osamu Kaneko
Author: Paolo Rapisarda

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×