|
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 6, Pages 931–939
(Mi zvmmf4697)
|
|
|
|
This article is cited in 5 scientific papers (total in 5 papers)
On two particular cases of solving the normal Hankel problem
V. N. Chugunov Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
Abstract:
The normal Hankel problem is one of characterizing all the complex matrices that are normal and Hankel at the same time. The matrix classes that can contain normal Hankel matrices admit a parameterization by real $2\times2$ matrices with determinant one. Here, the normal Hankel problem is solved in the case where the characteristic matrix of a given class is an order two Jordan block for the eigenvalue 1 or -1.
Key words:
normal Hankel problem, Toeplitz matrix, characteristic matrix, Jordan block, eigenvalues.
Received: 17.10.2008
Citation:
V. N. Chugunov, “On two particular cases of solving the normal Hankel problem”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 931–939; Comput. Math. Math. Phys., 49:6 (2009), 893–900
Linking options:
https://www.mathnet.ru/eng/zvmmf4697 https://www.mathnet.ru/eng/zvmmf/v49/i6/p931
|
Statistics & downloads: |
Abstract page: | 251 | Full-text PDF : | 71 | References: | 44 | First page: | 3 |
|