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

Detalhes bibliográficos
Autor(a) principal: Da Silva, João Lita
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/99791
Resumo: 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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:46:32Zoai:run.unl.pt:10362/99791Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:39:14.941291Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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