Realizable lists on a class of nonnegative matrices

Bibliographic Details
Main Author: Andrade, Enide
Publication Date: 2018
Other Authors: Manzaneda, Cristina, Robbiano, María
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/23002
Summary: 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:14:16Zoai:ria.ua.pt:10773/23002Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:01:39.780081Repositórios 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 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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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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