On the scalar rational interpolation problem
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Antoulas, A. C.
Anderson, B. D.Q.
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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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IMA Journal of Mathematical Control and Information
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