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.
@article{SJVM_2014_17_2_a2,
author = {A. K. Abdikalykov and Kh. D. Ikramov and V. N. Chugunov},
title = {On eigenvalues of $(T+H)$-circulants and $(T+H)$-skew-circulants},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {111--124},
year = {2014},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2014_17_2_a2/}
}
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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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