On the problem of stable rational interpolation

A. C. Antoulas; B. D.O. Anderson

doi:10.1016/0024-3795(89)90657-5

On the problem of stable rational interpolation

A. C. Antoulas^*, B. D.O. Anderson

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

Aspects of the stability issue in connection with rational interpolation are investigated. In particular, it is shown that unconstrained interpolation of a given set of points together with an associated mirror-image set of points yields a one-parameter family of stable interpolating functions. As an application, it is also shown that if a certain number of Markov parameters are given, by appropriate choice of the moments stable realizations are obtained.

Original language	English
Pages (from-to)	301-329
Number of pages	29
Journal	Linear Algebra and Its Applications
Volume	122-124
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(89)90657-5
Publication status	Published - 1989

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title = "On the problem of stable rational interpolation",

abstract = "Aspects of the stability issue in connection with rational interpolation are investigated. In particular, it is shown that unconstrained interpolation of a given set of points together with an associated mirror-image set of points yields a one-parameter family of stable interpolating functions. As an application, it is also shown that if a certain number of Markov parameters are given, by appropriate choice of the moments stable realizations are obtained.",

author = "Antoulas, {A. C.} and Anderson, {B. D.O.}",

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AU - Anderson, B. D.O.

PY - 1989

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N2 - Aspects of the stability issue in connection with rational interpolation are investigated. In particular, it is shown that unconstrained interpolation of a given set of points together with an associated mirror-image set of points yields a one-parameter family of stable interpolating functions. As an application, it is also shown that if a certain number of Markov parameters are given, by appropriate choice of the moments stable realizations are obtained.

AB - Aspects of the stability issue in connection with rational interpolation are investigated. In particular, it is shown that unconstrained interpolation of a given set of points together with an associated mirror-image set of points yields a one-parameter family of stable interpolating functions. As an application, it is also shown that if a certain number of Markov parameters are given, by appropriate choice of the moments stable realizations are obtained.

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U2 - 10.1016/0024-3795(89)90657-5

DO - 10.1016/0024-3795(89)90657-5

M3 - Article

AN - SCOPUS:38249024991

SN - 0024-3795

VL - 122-124

SP - 301

EP - 329

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

On the problem of stable rational interpolation

Abstract

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