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On the fundamental matrix of the inverse of a polynomial matrix and applications to ARMA representations - MaRDI portal

On the fundamental matrix of the inverse of a polynomial matrix and applications to ARMA representations (Q734938)

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scientific article; zbMATH DE number 5614902
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On the fundamental matrix of the inverse of a polynomial matrix and applications to ARMA representations
scientific article; zbMATH DE number 5614902

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    On the fundamental matrix of the inverse of a polynomial matrix and applications to ARMA representations (English)
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    14 October 2009
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    The fundamental matrix of the inverse of a polynomial matrix is computed. The algorithm is based on the fundamental matrix of a particular Toeplitz structured matrix. The fundamental matrix is then used to provide closed formulae for the solutions of Auto Regressive Moving Average (ARMA) reprsentations.
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    Laurent expansion
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    Auto Regressive Moving Average (ARMA) representations
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    discrete-time systems
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    fundamental matrix
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    inverse
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    polynomial matrix
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    Toeplitz structured matrix
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