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The general rational interpolation problem in the scalar case and its Hankel vector - MaRDI portal

The general rational interpolation problem in the scalar case and its Hankel vector (Q1923215)

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scientific article; zbMATH DE number 931946
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The general rational interpolation problem in the scalar case and its Hankel vector
scientific article; zbMATH DE number 931946

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    The general rational interpolation problem in the scalar case and its Hankel vector (English)
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    25 November 1996
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    A rational interpolation problem plays a crucial role in obtaining the proper, linear systems theory based plant or process description from given/measured data. One of the solutions to this problem is based on the linear fraction representation using the so-called generating matrix as a main tool. In this paper, a new approach of computing a particular \(2\times2\) polynomial generating matrix is provided. It is based on the deep connection between Loewner and Hankel matrices.
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    rational interpolation
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    linear systems
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    generating matrix
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    Hankel matrices
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