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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 5, Pages 784–789
(Mi zvmmf9708)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf9708 https://www.mathnet.ru/eng/zvmmf/v52/i5/p784
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Statistics & downloads: |
Abstract page: | 175 | Full-text PDF : | 55 | References: | 36 | First page: | 6 |
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