The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order

Bibliographic Details
Main Author: Da Silva, João Lita
Publication Date: 2019
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/99791
Summary: In this paper, we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order in terms of Chebyshev polynomials, giving also a representation of its eigenvectors. An orthogonal diagonalization for these type of matrices having null northeast-to-southwest diagonal is also provided using prescribed eigenvalues.
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spelling The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even orderAnti-tridiagonal 2-Hankel matrixChebyshev polynomialsEigenvalueEigenvectorGeneralIn this paper, we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order in terms of Chebyshev polynomials, giving also a representation of its eigenvectors. An orthogonal diagonalization for these type of matrices having null northeast-to-southwest diagonal is also provided using prescribed eigenvalues.DM - Departamento de MatemáticaGeoBioTec - Geobiociências, Geoengenharias e GeotecnologiasRUNDa Silva, João Lita2020-06-23T00:12:57Z2019-042019-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10application/pdfhttp://hdl.handle.net/10362/99791eng2307-4108PURE: 16999547info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-22T17:46:10Zoai:run.unl.pt:10362/99791Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:17:24.197304Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
title The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
spellingShingle The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
Da Silva, João Lita
Anti-tridiagonal 2-Hankel matrix
Chebyshev polynomials
Eigenvalue
Eigenvector
General
title_short The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
title_full The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
title_fullStr The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
title_full_unstemmed The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
title_sort The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
author Da Silva, João Lita
author_facet Da Silva, João Lita
author_role author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
GeoBioTec - Geobiociências, Geoengenharias e Geotecnologias
RUN
dc.contributor.author.fl_str_mv Da Silva, João Lita
dc.subject.por.fl_str_mv Anti-tridiagonal 2-Hankel matrix
Chebyshev polynomials
Eigenvalue
Eigenvector
General
topic Anti-tridiagonal 2-Hankel matrix
Chebyshev polynomials
Eigenvalue
Eigenvector
General
description In this paper, we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order in terms of Chebyshev polynomials, giving also a representation of its eigenvectors. An orthogonal diagonalization for these type of matrices having null northeast-to-southwest diagonal is also provided using prescribed eigenvalues.
publishDate 2019
dc.date.none.fl_str_mv 2019-04
2019-04-01T00:00:00Z
2020-06-23T00:12:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/99791
url http://hdl.handle.net/10362/99791
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2307-4108
PURE: 16999547
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 10
application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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