Generalized updating problems and computation of the eigenvalues of rational Toeplitz matrices (Q1373318)

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scientific article; zbMATH DE number 1089497
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Generalized updating problems and computation of the eigenvalues of rational Toeplitz matrices
scientific article; zbMATH DE number 1089497

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    Generalized updating problems and computation of the eigenvalues of rational Toeplitz matrices (English)
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    2 April 1998
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    Rank-one updating of a generalized eigenvalue problem is investigated. The results are applied to full Toeplitz matrices related to the Laurent expansion of a rational function. It yields an extension of the method of \textit{S. L. Handy} and \textit{J. L. Barlow} for the banded Toeplitz case [SIAM J. Matrix Anal. Appl. 15, No. 1, 205-214 (1994; Zbl 0803.65043)].
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    rank-one updating
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    Toeplitz matrices
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    generalized eigenvalue problem
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