On the problem of stable rational interpolation

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

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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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Linear Algebra and Its Applications

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