Geodesic
On eigenvalues of $(T+H)$-circulants and $(T+H)$-skew-circulants
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 2, pp. 111-124.

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Explicit formulas for calculating eigenvalues of the Hankel circulants, Hankel skew-circulants, $(T+H)$-circulants, and $(T+H)$-skew-circulants are obtained. It is shown that if $\phi\ne\pm1$, then the set of matrices that can be represented as sums of a Toeplitz $\phi$-circulant and a Hankel $\phi$-circulant is not an algebra. 
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A. K. Abdikalykov; Kh. D. Ikramov; V. N. Chugunov. On eigenvalues of $(T+H)$-circulants and $(T+H)$-skew-circulants. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 2, pp. 111-124. http://geodesic.mathdoc.fr/item/SJVM_2014_17_2_a2/

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