Geodesic
On Normal Hankel Matrices of Low Orders
Matematičeskie zametki, Tome 84 (2008) no. 2, pp. 207-218.

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In the previous work of the authors, the problem of describing complex $n\times n$ matrices that are simultaneously normal and Hankel was reduced to a system of $n-1$ real equations with respect to $2n$ unknowns. These equations are quadratic, and it is not at all clear whether they have real solutions. It is shown here that the systems corresponding to $n=3$ and $n=4$ are solvable and have infinitely many real solutions.
Keywords: Hankel matrix, Toeplitz matrix, backward identity, upper (lower) triangular matrix, Cramer's rule.
Mots-clés : normal matrix, circulant, Hankel circulant 
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Kh. D. Ikramov; V. N. Chugunov. On Normal Hankel Matrices of Low Orders. Matematičeskie zametki, Tome 84 (2008) no. 2, pp. 207-218. http://geodesic.mathdoc.fr/item/MZM_2008_84_2_a3/

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