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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 11, Pages 1939–1951
(Mi zvmmf9567)
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This article is cited in 7 scientific papers (total in 7 papers)
On the parametrization of classes of normal Hankel matrices
V. N. Chugunov Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
The normal Hankel problem is to characterize matrices that are simultaneously normal and Hankel. It is shown that the descriptions of all classes of normal Hankel matrices can be regarded as constructive procedures. A parametrization of the available classes is performed; that is, a set of parameters is proposed whose values allow one to uniquely determine a matrix belonging to this class.
Key words:
normal Hankel problem, Toeplitz matrix, Hankel matrix, circulant, skew circulant, parametrization of Hankel matrices.
Received: 14.09.2010
Citation:
V. N. Chugunov, “On the parametrization of classes of normal Hankel matrices”, Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011), 1939–1951; Comput. Math. Math. Phys., 51:11 (2011), 1823–1836
Linking options:
https://www.mathnet.ru/eng/zvmmf9567 https://www.mathnet.ru/eng/zvmmf/v51/i11/p1939
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