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Classification of normal Toeplitz matrices with real entries - MaRDI portal

Classification of normal Toeplitz matrices with real entries (Q1909782)

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scientific article; zbMATH DE number 857373
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Classification of normal Toeplitz matrices with real entries
scientific article; zbMATH DE number 857373

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    Classification of normal Toeplitz matrices with real entries (English)
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    20 May 1996
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    The author proves that any normal Toeplitz \(n\times n\) matrix with real elements is one of four types of matrices -- symmetric, skew-symmetric, circulant or skew-circulant. For the other properties on normal Toeplitz matrices see two previous papers of the author [Zh. Vychisl. Mat. Mat. Fiz. 34, No. 3, 473-479 (1994; Zbl 0822.47029); and Mat. Zametki 55, No. 5, 69-79 (1994; Zbl 0832.15006)].
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    classification
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    symmetric
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    skew-symmetric
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    circulant
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    skew-circulant
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    normal Toeplitz matrices
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