Certain sets consisting of pairs of symmetric and skew-symmetric Toeplitz matrices with identical squares are described.
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V. V. Voevodin and E. E. Tyrtyshnikov, Computational Processes With Toeplitz Matrices [in Russian], Nauka, Moscow (1987).
V. N. Chugunov, Normal and Commuting Toeplitz and Hankel Matrices [in Russian], Nauka, Moscow (2017).
N. V. Efimov and E. R. Rosendorn, Linear Algebra and Multidimensional Geometry [Russian translation], Nauka, Moscow (1975).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 514, 2022, pp. 193–203.
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Chugunov, V.N. Pairs of Symmetric and Skew-Symmetric Toeplitz Matrices with Identical Squares. J Math Sci 272, 608–614 (2023). https://doi.org/10.1007/s10958-023-06453-7
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DOI: https://doi.org/10.1007/s10958-023-06453-7