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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
Full-text PDF (728 kB) Citations (5)
References:
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
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 6, Pages 893–900
DOI: https://doi.org/10.1134/S0965542509060013
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
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
Citation in format AMSBIB
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:251
    Full-text PDF :71
    References:44
    First page:3
     
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