Geodesic
On Toeplitz matrices that are simultaneously normal and conjugate-normal
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 67-74

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A complete description of the set of Toeplitz matrices that are simultaneously normal and conjugate-normal is provided Bibl. – 2 titles. 
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     author = {Kh. D. Ikramov and V. N. Chugunov},
     title = {On {Toeplitz} matrices that are simultaneously normal and conjugate-normal},
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     publisher = {mathdoc},
     volume = {367},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a5/}
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Kh. D. Ikramov; V. N. Chugunov. On Toeplitz matrices that are simultaneously normal and conjugate-normal. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 67-74. http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a5/