On the scalar rational interpolation problem

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

doi:10.1093/imamci/3.2-3.61

On the scalar rational interpolation problem

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

^*Corresponding author for this work

School of Engineering

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

175 Citations (Scopus)

Abstract

The rational interpolation problem in the scalar case, including multiple points, is solved. In particular a parametrization of all minimal-degree rational functions interpolating given pairs of points is derived. These considerations provide a generalization of the results on the partial realization of linear systems.

Original language	English
Pages (from-to)	61-88
Number of pages	28
Journal	IMA Journal of Mathematical Control and Information
Volume	3
Issue number	2-3
DOIs	https://doi.org/10.1093/imamci/3.2-3.61
Publication status	Published - 1986

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abstract = "The rational interpolation problem in the scalar case, including multiple points, is solved. In particular a parametrization of all minimal-degree rational functions interpolating given pairs of points is derived. These considerations provide a generalization of the results on the partial realization of linear systems.",

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AB - The rational interpolation problem in the scalar case, including multiple points, is solved. In particular a parametrization of all minimal-degree rational functions interpolating given pairs of points is derived. These considerations provide a generalization of the results on the partial realization of linear systems.

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DO - 10.1093/imamci/3.2-3.61

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JF - IMA Journal of Mathematical Control and Information

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On the scalar rational interpolation problem

Abstract

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