Realizable lists on a class of nonnegative matrices
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/10773/23002 |
Resumo: | A square matrix of order $n$ with $n\geq 2$ is called \textit{permutative matrix} when all its rows are permutations of the first row. In this paper recalling spectral results for partitioned into $2$-by-$2$ symmetric blocks matrices sufficient conditions on a given complex list to be the list of the eigenvalues of a nonnegative permutative matrix are given. In particular, we study NIEP and PNIEP when some complex elements in the lists under consideration have non-zero imaginary part. Realizability regions for nonnegative permutative matrices are obtained. A Guo's realizability-preserving perturbations result is obtained. |
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7160 |
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Realizable lists on a class of nonnegative matricesPermutative matrixInverse eigenvalue problemNonnegative matrixCirculant matrixSkew circulant matrixGuo perturbationsA square matrix of order $n$ with $n\geq 2$ is called \textit{permutative matrix} when all its rows are permutations of the first row. In this paper recalling spectral results for partitioned into $2$-by-$2$ symmetric blocks matrices sufficient conditions on a given complex list to be the list of the eigenvalues of a nonnegative permutative matrix are given. In particular, we study NIEP and PNIEP when some complex elements in the lists under consideration have non-zero imaginary part. Realizability regions for nonnegative permutative matrices are obtained. A Guo's realizability-preserving perturbations result is obtained.Elsevier2018-08-152018-08-15T00:00:00Z2019-02-11T09:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/23002eng0024-379510.1016/j.laa.2018.04.004Andrade, EnideManzaneda, CristinaRobbiano, 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:RCAAP2024-02-22T11:44:54Zoai:ria.ua.pt:10773/23002Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:56:57.008224Repositório 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 |
Realizable lists on a class of nonnegative matrices |
title |
Realizable lists on a class of nonnegative matrices |
spellingShingle |
Realizable lists on a class of nonnegative matrices Andrade, Enide Permutative matrix Inverse eigenvalue problem Nonnegative matrix Circulant matrix Skew circulant matrix Guo perturbations |
title_short |
Realizable lists on a class of nonnegative matrices |
title_full |
Realizable lists on a class of nonnegative matrices |
title_fullStr |
Realizable lists on a class of nonnegative matrices |
title_full_unstemmed |
Realizable lists on a class of nonnegative matrices |
title_sort |
Realizable lists on a class of nonnegative matrices |
author |
Andrade, Enide |
author_facet |
Andrade, Enide Manzaneda, Cristina Robbiano, María |
author_role |
author |
author2 |
Manzaneda, Cristina Robbiano, María |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Andrade, Enide Manzaneda, Cristina Robbiano, María |
dc.subject.por.fl_str_mv |
Permutative matrix Inverse eigenvalue problem Nonnegative matrix Circulant matrix Skew circulant matrix Guo perturbations |
topic |
Permutative matrix Inverse eigenvalue problem Nonnegative matrix Circulant matrix Skew circulant matrix Guo perturbations |
description |
A square matrix of order $n$ with $n\geq 2$ is called \textit{permutative matrix} when all its rows are permutations of the first row. In this paper recalling spectral results for partitioned into $2$-by-$2$ symmetric blocks matrices sufficient conditions on a given complex list to be the list of the eigenvalues of a nonnegative permutative matrix are given. In particular, we study NIEP and PNIEP when some complex elements in the lists under consideration have non-zero imaginary part. Realizability regions for nonnegative permutative matrices are obtained. A Guo's realizability-preserving perturbations result is obtained. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-08-15 2018-08-15T00:00:00Z 2019-02-11T09:00:00Z |
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/10773/23002 |
url |
http://hdl.handle.net/10773/23002 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0024-3795 10.1016/j.laa.2018.04.004 |
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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1799137623244013568 |