Realizable lists on a class of nonnegative matrices

Detalhes bibliográficos
Autor(a) principal: Andrade, Enide
Data de Publicação: 2018
Outros Autores: Manzaneda, Cristina, Robbiano, María
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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spelling 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
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instacron_str RCAAP
institution RCAAP
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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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