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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 5, Pages 784–789 (Mi zvmmf9708)  
On the parametrization of classes of conjugate-normal Toeplitz matrices

V. N. Chugunov

Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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Abstract: The conjugate-normal Toeplitz problem is the one of characterizing matrices that are simultaneously Toeplitz and conjugate-normal. It is shown that the descriptions of all classes of conjugate-normal Toeplitz matrices can be regarded as constructive procedures. A parametrization is performed for each of the available classes; that is, a set of parameters is proposed whose values allow one to uniquely determine all the entries of a matrix belonging to this class.
Key words: Toeplitz matrix, conjugate-normal Toeplitz problem, circulant, skew-circulant.
Received: 20.09.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 5, Pages 674–679
DOI: https://doi.org/10.1134/S0965542512050065
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: V. N. Chugunov, “On the parametrization of classes of conjugate-normal Toeplitz matrices”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 784–789; Comput. Math. Math. Phys., 52:5 (2012), 674–679
Citation in format AMSBIB
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