Block matrices and Guo’s index for block circulant matrices with circulant blocks
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/23978 |
Resumo: | In this paper we deal with circulant and partitioned into n-by-n circulant blocks matrices and introduce spectral results concerning this class of matrices. The problem of fi nding lists of complex numbers corresponding to a set of eigenvalues of a nonnegative block matrix with circulant blocks is treated. Along the paper we call realizable list if its elements are the eigenvalues of a nonnegative matrix. The Guo's index $\lambda_0$ of a realizable list is the minimum spectral radius such that the list (up to the initial spectral radius) together with $\lambda_0$ is realizable. The Guo's index of block circulant matrices with circulant blocks is obtained, and in consequence, necessary and suffcient conditions concerning the NIEP, Nonnegative Inverse Eigenvalue Problem, for the realizability of some spectra are given. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Block matrices and Guo’s index for block circulant matrices with circulant blocksInverse eigenvalue problemStructured inverse eigenvalue problemNonnegative matrixCirculant matrixBlock circulant matrixGuo indexIn this paper we deal with circulant and partitioned into n-by-n circulant blocks matrices and introduce spectral results concerning this class of matrices. The problem of fi nding lists of complex numbers corresponding to a set of eigenvalues of a nonnegative block matrix with circulant blocks is treated. Along the paper we call realizable list if its elements are the eigenvalues of a nonnegative matrix. The Guo's index $\lambda_0$ of a realizable list is the minimum spectral radius such that the list (up to the initial spectral radius) together with $\lambda_0$ is realizable. The Guo's index of block circulant matrices with circulant blocks is obtained, and in consequence, necessary and suffcient conditions concerning the NIEP, Nonnegative Inverse Eigenvalue Problem, for the realizability of some spectra are given.Elsevier2020-11-01T00:00:00Z2018-07-17T00:00:00Z2018-07-17info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/23978eng0024-379510.1016/j.laa.2018.07.015Andrade, EnideManzaneda, CristinaNina, HansRobbiano, Maríainfo: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:RCAAP2024-02-22T11:47:08Zoai:ria.ua.pt:10773/23978Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:57:48.308803Repositório 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 |
Block matrices and Guo’s index for block circulant matrices with circulant blocks |
title |
Block matrices and Guo’s index for block circulant matrices with circulant blocks |
spellingShingle |
Block matrices and Guo’s index for block circulant matrices with circulant blocks Andrade, Enide Inverse eigenvalue problem Structured inverse eigenvalue problem Nonnegative matrix Circulant matrix Block circulant matrix Guo index |
title_short |
Block matrices and Guo’s index for block circulant matrices with circulant blocks |
title_full |
Block matrices and Guo’s index for block circulant matrices with circulant blocks |
title_fullStr |
Block matrices and Guo’s index for block circulant matrices with circulant blocks |
title_full_unstemmed |
Block matrices and Guo’s index for block circulant matrices with circulant blocks |
title_sort |
Block matrices and Guo’s index for block circulant matrices with circulant blocks |
author |
Andrade, Enide |
author_facet |
Andrade, Enide Manzaneda, Cristina Nina, Hans Robbiano, María |
author_role |
author |
author2 |
Manzaneda, Cristina Nina, Hans Robbiano, María |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Andrade, Enide Manzaneda, Cristina Nina, Hans Robbiano, María |
dc.subject.por.fl_str_mv |
Inverse eigenvalue problem Structured inverse eigenvalue problem Nonnegative matrix Circulant matrix Block circulant matrix Guo index |
topic |
Inverse eigenvalue problem Structured inverse eigenvalue problem Nonnegative matrix Circulant matrix Block circulant matrix Guo index |
description |
In this paper we deal with circulant and partitioned into n-by-n circulant blocks matrices and introduce spectral results concerning this class of matrices. The problem of fi nding lists of complex numbers corresponding to a set of eigenvalues of a nonnegative block matrix with circulant blocks is treated. Along the paper we call realizable list if its elements are the eigenvalues of a nonnegative matrix. The Guo's index $\lambda_0$ of a realizable list is the minimum spectral radius such that the list (up to the initial spectral radius) together with $\lambda_0$ is realizable. The Guo's index of block circulant matrices with circulant blocks is obtained, and in consequence, necessary and suffcient conditions concerning the NIEP, Nonnegative Inverse Eigenvalue Problem, for the realizability of some spectra are given. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-07-17T00:00:00Z 2018-07-17 2020-11-01T00:00:00Z |
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/10773/23978 |
url |
http://hdl.handle.net/10773/23978 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0024-3795 10.1016/j.laa.2018.07.015 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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 |
repository.mail.fl_str_mv |
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1799137632562708480 |