A matrix A is called a (T + H)-circulant (skew-circulant) if A can be represented as a sum of a conventional (that is, Toeplitz) and a Hankel circulants (respectively, skew-circulants). A complete description of the sets of conjugate-normal (T + H)-circulants and skew-circulants is given. Bibliography: 3 titles.
Similar content being viewed by others
References
V. N. Chugunov and Kh. D. Ikramov, “The conjugate-normal Toeplitz problem,” Linear Algebra Appl., 430, 2467–2473(2009).
Kh. D. Ikramov and V. N. Chugunov, “On Toeplitz matrices that are simultaneously normal and conjugate normal,” Zap. Nauchn. Semin. POMI, 367, 67–74 (2009).
V. N. Chugunov and Kh. D. Ikramov, “A contribution to the normal Hankel problem,” Linear Algebra Appl., 430, 2094–2101(2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 382, 2010, pp. 60–70.
Rights and permissions
About this article
Cite this article
Ikramov, K.D., Chugunov, V.N. On the conjugate-normal (T + H)-circulants and skew-circulants. J Math Sci 176, 32–37 (2011). https://doi.org/10.1007/s10958-011-0390-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-011-0390-y