On the skew-symmetric part of the Toeplitz component in the real normal $(T+H)$-problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 209-213 Cet article a éte moissonné depuis la source Math-Net.Ru

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The real normal Toeplitz-plus-Hankel problem is to characterize the matrices that can be represented as sums of two real matrices of which one is Toeplitz and the other Hankel. For a matrix of this type, relations are found between the skew-symmetric part of the Toeplitz component and the matrix obtained by reversing the order of columns in the Hankel component.
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V. N. Chugunov. On the skew-symmetric part of the Toeplitz component in the real normal $(T+H)$-problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 209-213. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a2/

[1] Efimov N.V., Rozendorn E.R., Lineinaya algebra i mnogomernaya geometriya, Nauka, M., 1975

[2] Chugunov V.N., “O chastnykh resheniyakh normalnoi $T+H$-zadachi”, Zh. vychisl. matem. i matem. fiz., 50:4 (2010), 612–617 | MR | Zbl