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Generating polynomials for matrices with Toeplitz or conjugate-Toeplitz inverses - MaRDI portal

Generating polynomials for matrices with Toeplitz or conjugate-Toeplitz inverses (Q759816)

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scientific article; zbMATH DE number 3882591
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Generating polynomials for matrices with Toeplitz or conjugate-Toeplitz inverses
scientific article; zbMATH DE number 3882591

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    Generating polynomials for matrices with Toeplitz or conjugate-Toeplitz inverses (English)
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    1984
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    Band matrices with Toeplitz inverses can be characterised by two generating polynomials. The present paper generalizes this result to the complex case introducing a conjugate-Toeplitz matrix. A necessary and sufficient condition is derived for a matrix to have a conjugate-Toeplitz inverse.
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    Toeplitz inverses
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    generating polynomials
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    conjugate-Toeplitz matrix
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