Combined Matrix of a Tridiagonal Toeplitz Matrix

[EN] In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly qu...

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Autores: Cantó Colomina, Begoña|||0000-0002-9837-3926, Cantó Colomina, Rafael|||0000-0002-1341-2800, Urbano Salvador, Ana María|||0000-0001-8590-1243
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/223570
Acceso en línea:https://riunet.upv.es/handle/10251/223570
Access Level:acceso abierto
Palabra clave:Tridiagonal Toeplitz matrix
Combined matrix
Doubly quasi-stochastic matrix
Jacobi matrix
Linear algebra
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network_acronym_str ES
network_name_str España
repository_id_str
spelling Combined Matrix of a Tridiagonal Toeplitz MatrixCantó Colomina, Begoña|||0000-0002-9837-3926Cantó Colomina, Rafael|||0000-0002-1341-2800Urbano Salvador, Ana María|||0000-0001-8590-1243Tridiagonal Toeplitz matrixCombined matrixDoubly quasi-stochastic matrixJacobi matrixLinear algebra[EN] In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly quasi-stochastic matrix is studied. Furthermore, this paper addresses the inverse problem, that is, given a bisymmetric, doubly quasi-stochastic tridiagonal Jacobi matrix U of order n, determine under what conditions there exists a real tridiagonal Toeplitz matrix A such that its combined matrix is U.MDPI AGDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarEscuela Politécnica Superior de AlcoyEscuela Técnica Superior de Ingeniería Agronómica y del Medio NaturalRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-05-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/223570reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2235702026-06-13T07:49:27Z
dc.title.none.fl_str_mv Combined Matrix of a Tridiagonal Toeplitz Matrix
title Combined Matrix of a Tridiagonal Toeplitz Matrix
spellingShingle Combined Matrix of a Tridiagonal Toeplitz Matrix
Cantó Colomina, Begoña|||0000-0002-9837-3926
Tridiagonal Toeplitz matrix
Combined matrix
Doubly quasi-stochastic matrix
Jacobi matrix
Linear algebra
title_short Combined Matrix of a Tridiagonal Toeplitz Matrix
title_full Combined Matrix of a Tridiagonal Toeplitz Matrix
title_fullStr Combined Matrix of a Tridiagonal Toeplitz Matrix
title_full_unstemmed Combined Matrix of a Tridiagonal Toeplitz Matrix
title_sort Combined Matrix of a Tridiagonal Toeplitz Matrix
dc.creator.none.fl_str_mv Cantó Colomina, Begoña|||0000-0002-9837-3926
Cantó Colomina, Rafael|||0000-0002-1341-2800
Urbano Salvador, Ana María|||0000-0001-8590-1243
author Cantó Colomina, Begoña|||0000-0002-9837-3926
author_facet Cantó Colomina, Begoña|||0000-0002-9837-3926
Cantó Colomina, Rafael|||0000-0002-1341-2800
Urbano Salvador, Ana María|||0000-0001-8590-1243
author_role author
author2 Cantó Colomina, Rafael|||0000-0002-1341-2800
Urbano Salvador, Ana María|||0000-0001-8590-1243
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Multidisciplinar
Escuela Politécnica Superior de Alcoy
Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Tridiagonal Toeplitz matrix
Combined matrix
Doubly quasi-stochastic matrix
Jacobi matrix
Linear algebra
topic Tridiagonal Toeplitz matrix
Combined matrix
Doubly quasi-stochastic matrix
Jacobi matrix
Linear algebra
description [EN] In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly quasi-stochastic matrix is studied. Furthermore, this paper addresses the inverse problem, that is, given a bisymmetric, doubly quasi-stochastic tridiagonal Jacobi matrix U of order n, determine under what conditions there exists a real tridiagonal Toeplitz matrix A such that its combined matrix is U.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/223570
url https://riunet.upv.es/handle/10251/223570
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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