A complete description of the set of Toeplitz matrices that are simultaneously normal and conjugate-normal is provided. Bibliography: 2 titles.
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Kh. D. Ikramov and V. N. Chugunov, “A criterion for the normality of a complex Toeplitz matrix,” Zh. Vyhisl. Matem. Matem. Fiz., 36, 3–10 (1996).
V. N. Chugunov and Kh. D. Ikramov, “The conjugate-normal Toeplitz problem,” Linear Algebra Appl., 430, 2467–2473 (2009).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 367, 2009, pp. 67–74.
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Ikramov, K.D., Chugunov, V.N. On Toeplitz matrices that are simultaneously normal and conjugate-normal. J Math Sci 165, 533–536 (2010). https://doi.org/10.1007/s10958-010-9823-2
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DOI: https://doi.org/10.1007/s10958-010-9823-2