Geodesic
On the parametrization of classes of conjugate-normal Toeplitz matrices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 784-789 
V. N. Chugunov. On the parametrization of classes of conjugate-normal Toeplitz matrices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 784-789. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a2/
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     title = {On the parametrization of classes of conjugate-normal {Toeplitz} matrices},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The conjugate-normal Toeplitz problem is the one of characterizing matrices that are simultaneously Toeplitz and conjugate-normal. It is shown that the descriptions of all classes of conjugate-normal Toeplitz matrices can be regarded as constructive procedures. A parametrization is performed for each of the available classes; that is, a set of parameters is proposed whose values allow one to uniquely determine all the entries of a matrix belonging to this class.

[1] Ikramov Kh. D., Chugunov V. N., “The conjugate-normal Toeplitz problem”, Linear Algebra and its Appl., 430 (2009), 2467–2473 | DOI | MR | Zbl

[2] Voevodin V. V., Tyrtyshnikov E. E., Vychislitelnye protsessy s teplitsevymi matritsami, Nauka, M., 1987 | MR | Zbl

[3] Tyrtyshnikov E. E., Matrichnyi analiz i lineinaya algebra, Fizmatlit, M., 2007