Kh. D. Ikramov, V. N. Chugunov, “On Normal Hankel Matrices of Low Orders”, Mat. Zametki, 84:2 (2008), 207–218; Math. Notes, 84:2 (2008), 197

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2008, Volume 84, Issue 2, Pages 207–218
DOI: https://doi.org/10.4213/mzm4033 (Mi mzm4033)

This article is cited in 6 scientific papers (total in 6 papers)

On Normal Hankel Matrices of Low Orders

Kh. D. Ikramov^a, V. N. Chugunov^b

^a M. V. Lomonosov Moscow State University
^b Institute of Numerical Mathematics, Russian Academy of Sciences

Full-text PDF (480 kB) Citations (6)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm4033

Abstract: In the previous work of the authors, the problem of describing complex

n \times n

$n\times n$ matrices that are simultaneously normal and Hankel was reduced to a system of

n - 1

$n-1$ real equations with respect to

2 n

$2n$ unknowns. These equations are quadratic, and it is not at all clear whether they have real solutions. It is shown here that the systems corresponding to

n = 3

$n=3$ and

n = 4

$n=4$ are solvable and have infinitely many real solutions.

Keywords: Hankel matrix, normal matrix, Toeplitz matrix, backward identity, circulant, Hankel circulant, upper (lower) triangular matrix, Cramer's rule.

Received: 20.07.2007

English version:
Mathematical Notes, 2008, Volume 84, Issue 2, Pages 197–206
DOI: https://doi.org/10.1134/S0001434608070201

Bibliographic databases:

UDC: 517.958

Language: Russian

Citation: Kh. D. Ikramov, V. N. Chugunov, “On Normal Hankel Matrices of Low Orders”, Mat. Zametki, 84:2 (2008), 207–218; Math. Notes, 84:2 (2008), 197–206

Citation in format AMSBIB

\Bibitem{IkrChu08}

\by Kh.~D.~Ikramov, V.~N.~Chugunov

\paper On Normal Hankel Matrices of Low Orders

\jour Mat. Zametki

\yr 2008

\vol 84

\issue 2

\pages 207--218

\mathnet{http://mi.mathnet.ru/mzm4033}

\crossref{https://doi.org/10.4213/mzm4033}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2475048}

\transl

\jour Math. Notes

\yr 2008

\vol 84

\issue 2

\pages 197--206

\crossref{https://doi.org/10.1134/S0001434608070201}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000258855600020}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-50849110122}

Linking options:

https://www.mathnet.ru/eng/mzm4033

https://doi.org/10.4213/mzm4033

https://www.mathnet.ru/eng/mzm/v84/i2/p207

This publication is cited in the following 6 articles:

V. N. Chugunov, “On particular solutions of the normal $T+H$ -problem”, Comput. Math. Math. Phys., 50:4 (2010), 583–588
Chugunov V.N., Ikramov Kh.D., “A complete solution of the normal Hankel problem”, Linear Algebra Appl., 432:12 (2010), 3210–3230
Kh. D. Ikramov, V. N. Chugunov, “On the Reduction of the Normal Hankel Problem to Two Particular Cases”, Math. Notes, 85:5 (2009), 674–681
V. N. Chugunov, “On two particular cases of solving the normal Hankel problem”, Comput. Math. Math. Phys., 49:6 (2009), 893–900
Ikramov Kh. D., Chugunov V. N., “Classifying normal Hankel matrices”, Dokl. Math., 79:1 (2009), 114–117
Mei Y., “The Inverse Matrices of Symmetric Circulant Hankel Matrices Constituted by Equal Ratio”, Proceedings of the Third International Workshop on Applied Matrix Theory, eds. Xu C., Xu G., Zhang F., World Acad Union-World Acad Press, 2009, 262–264

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	525
Full-text PDF :	204
References:	105
First page:	8

Что такое QR-код?

Registration to the website

Logotypes