Some spectral properties of infinite band matrices (Q1418833)

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scientific article; zbMATH DE number 2026771
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Some spectral properties of infinite band matrices
scientific article; zbMATH DE number 2026771

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    Some spectral properties of infinite band matrices (English)
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    14 January 2004
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    A generalisation of several previous results related to spectral analysis of non-symmetric difference operators generated by infinite band matrices, is given. Consequently some asymptotic behavior of a system of vector orthogonal polynomials and convergence results for matrix Padé approximants are obtained.
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    band matrices
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    difference operators
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    Weyl matrix
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    Hermite-Padé approximants
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    matrix Padé approximants
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    proper matrices
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    spectral analysis
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    asymptotic behavior
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    orthogonal polynomials
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    convergence
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