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The essential polynomial approach to convergence of matrix Padé approximants - MaRDI portal

The essential polynomial approach to convergence of matrix Padé approximants (Q2784647)

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scientific article; zbMATH DE number 1732878
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The essential polynomial approach to convergence of matrix Padé approximants
scientific article; zbMATH DE number 1732878

    Statements

    8 October 2002
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    Padé approximants
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    meromorphic matrix functions
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    Montessus theorem
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    The essential polynomial approach to convergence of matrix Padé approximants (English)
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    The method of essential polynomials is applied to a problem of convergence of Padé approximants for meromorphic matrix functions. The approach is based on the stability of indices of a sequence. The first case of the stability is carefully studied. A matrix analog of the Montessus theorem is obtained as a result.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00034].
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