On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications

In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, eigenvectors and the spectral measure associated to the corresponding infinite matrices. As an application we consider two solvable models related with the so-called Chain M...

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Detalhes bibliográficos
Autores: Álvarez Nodarse, Renato, Soares Petronilho, José Carlos, Quintero, Niurka R.
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2005
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/43060
Acesso em linha:http://hdl.handle.net/11441/43060
https://doi.org/10.1016/j.cam.2005.01.025
Access Level:acceso abierto
Palavra-chave:k−Toeplitz matrices
Jacobi matrices
orthogonal polynomials
chain models
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spelling On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. ApplicationsÁlvarez Nodarse, RenatoSoares Petronilho, José CarlosQuintero, Niurka R.k−Toeplitz matricesJacobi matricesorthogonal polynomialschain modelsIn this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, eigenvectors and the spectral measure associated to the corresponding infinite matrices. As an application we consider two solvable models related with the so-called Chain Model. Some numerical experiments are also included.Programa de Acciones Integradas Hispano-LusasDirección General de Enseñanza SuperiorPlan Andaluz de Investigación (Junta de Andalucía)Centre for Mathematics (University of Coimbra)ElsevierAnálisis MatemáticoFQM262: Teoria de la Aproximacion2005info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/43060https://doi.org/10.1016/j.cam.2005.01.025reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Computational and Applied Mathematics, 184 (2), 518-537.HP2002-065E-6/03BFM 2003-06335-C03-01FQM-0262BFM2001-3878-C02FQM-0207http://dx.doi.org/10.1016/j.cam.2005.01.025info:eu-repo/semantics/openAccessoai:idus.us.es:11441/430602026-06-17T12:51:07Z
dc.title.none.fl_str_mv On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
title On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
spellingShingle On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
Álvarez Nodarse, Renato
k−Toeplitz matrices
Jacobi matrices
orthogonal polynomials
chain models
title_short On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
title_full On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
title_fullStr On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
title_full_unstemmed On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
title_sort On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
dc.creator.none.fl_str_mv Álvarez Nodarse, Renato
Soares Petronilho, José Carlos
Quintero, Niurka R.
author Álvarez Nodarse, Renato
author_facet Álvarez Nodarse, Renato
Soares Petronilho, José Carlos
Quintero, Niurka R.
author_role author
author2 Soares Petronilho, José Carlos
Quintero, Niurka R.
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM262: Teoria de la Aproximacion
dc.subject.none.fl_str_mv k−Toeplitz matrices
Jacobi matrices
orthogonal polynomials
chain models
topic k−Toeplitz matrices
Jacobi matrices
orthogonal polynomials
chain models
description In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, eigenvectors and the spectral measure associated to the corresponding infinite matrices. As an application we consider two solvable models related with the so-called Chain Model. Some numerical experiments are also included.
publishDate 2005
dc.date.none.fl_str_mv 2005
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/43060
https://doi.org/10.1016/j.cam.2005.01.025
url http://hdl.handle.net/11441/43060
https://doi.org/10.1016/j.cam.2005.01.025
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Computational and Applied Mathematics, 184 (2), 518-537.
HP2002-065
E-6/03
BFM 2003-06335-C03-01
FQM-0262
BFM2001-3878-C02
FQM-0207
http://dx.doi.org/10.1016/j.cam.2005.01.025
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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