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A generalization of the one-step theorem for matrix polynomials

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Publication:1417436
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DOI10.1007/S00020-002-1153-4zbMath1036.30005OpenAlexW1968582087MaRDI QIDQ1417436

Israel Gohberg, Robert L. Ellis

Publication date: 5 January 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-002-1153-4


zbMATH Keywords

orthogonal matrix polynomialsblock Toeplitz matriceszeros of matrix polynomials


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Dilations, extensions, compressions of linear operators (47A20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)








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