Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices

Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices. Generalizing this result, we give a complete description of unitary similarity automorphisms of the space of Toeplitz-plus-Hankel...

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Main Authors:	Abdikalykov A.K., Chugunov V.N., Ikramov Kh.D.
Format:	Article
Language:	English
Published:	De Gruyter 2015-04-01
Series:	Special Matrices
Subjects:	Toeplitz matrix Hankel matrix Toeplitz-plus-Hankel matrix centrosymmetric matrix skewcentrosymmetric matrix unitary similarity automorphism 15B05
Online Access:	http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0006/spma-2015-0006.xml?format=INT

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spelling	doaj-e9b5b8e3e2d84a2180b4cee0a336c4da2021-10-02T10:23:21ZengDe GruyterSpecial Matrices2300-74512015-04-013110.1515/spma-2015-0006spma-2015-0006Unitary automorphisms of the space of Toeplitz-plus-Hankel matricesAbdikalykov A.K.0Chugunov V.N.1Ikramov Kh.D.2Department of Mathematics, Kazakhstan Division of Moscow State University, Astana, Kazakhstan Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russian FederationFaculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russian FederationOur motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices. Generalizing this result, we give a complete description of unitary similarity automorphisms of the space of Toeplitz-plus-Hankel matrices.http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0006/spma-2015-0006.xml?format=INTToeplitz matrix Hankel matrix Toeplitz-plus-Hankel matrix centrosymmetric matrix skewcentrosymmetric matrix unitary similarity automorphism15B05
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdikalykov A.K. Chugunov V.N. Ikramov Kh.D.
spellingShingle	Abdikalykov A.K. Chugunov V.N. Ikramov Kh.D. Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices Special Matrices Toeplitz matrix Hankel matrix Toeplitz-plus-Hankel matrix centrosymmetric matrix skewcentrosymmetric matrix unitary similarity automorphism 15B05
author_facet	Abdikalykov A.K. Chugunov V.N. Ikramov Kh.D.
author_sort	Abdikalykov A.K.
title	Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
title_short	Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
title_full	Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
title_fullStr	Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
title_full_unstemmed	Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
title_sort	unitary automorphisms of the space of toeplitz-plus-hankel matrices
publisher	De Gruyter
series	Special Matrices
issn	2300-7451
publishDate	2015-04-01
description	Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices. Generalizing this result, we give a complete description of unitary similarity automorphisms of the space of Toeplitz-plus-Hankel matrices.
topic	Toeplitz matrix Hankel matrix Toeplitz-plus-Hankel matrix centrosymmetric matrix skewcentrosymmetric matrix unitary similarity automorphism 15B05
url	http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0006/spma-2015-0006.xml?format=INT
work_keys_str_mv	AT abdikalykovak unitaryautomorphismsofthespaceoftoeplitzplushankelmatrices AT chugunovvn unitaryautomorphismsofthespaceoftoeplitzplushankelmatrices AT ikramovkhd unitaryautomorphismsofthespaceoftoeplitzplushankelmatrices
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Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices

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