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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 2, Pages 209–213
(Mi zvmmf9649)
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This article is cited in 2 scientific papers (total in 2 papers)
On the skew-symmetric part of the Toeplitz component in the real normal $(T+H)$-problem
V. N. Chugunov Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
The real normal Toeplitz-plus-Hankel problem is to characterize the matrices that can be represented as sums of two real matrices of which one is Toeplitz and the other Hankel. For a matrix of this type, relations are found between the skew-symmetric part of the Toeplitz component and the matrix obtained by reversing the order of columns in the Hankel component.
Key words:
real normal Toeplitz-plus-Hankel problem, Toeplitz matrix, Hankel matrix, circulant, skew-circulant.
Received: 14.09.2010
Citation:
V. N. Chugunov, “On the skew-symmetric part of the Toeplitz component in the real normal $(T+H)$-problem”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012), 209–213; Comput. Math. Math. Phys., 52:2 (2012), 198–202
Linking options:
https://www.mathnet.ru/eng/zvmmf9649 https://www.mathnet.ru/eng/zvmmf/v52/i2/p209
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Statistics & downloads: |
Abstract page: | 290 | Full-text PDF : | 86 | References: | 61 | First page: | 9 |
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