Realizable lists via the spectra of structured matrices

Bibliographic Details
Main Author: Manzaneda, Cristina
Publication Date: 2017
Other Authors: Andrade, Enide, Robbiano, Maria
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/18240
Summary: A square matrix of order $n$ with $n\geq 2$ is called a \textit{permutative matrix} or permutative when all its rows (up to the first one) are permutations of precisely its first row. In this paper, the spectra of a class of permutative matrices are studied. In particular, spectral results for matrices partitioned into $2$-by-$2$ symmetric blocks are presented and, using these results sufficient conditions on a given list to be the list of eigenvalues of a nonnegative permutative matrix are obtained and the corresponding permutative matrices are constructed. Guo perturbations on given lists are exhibited.
id RCAP_41b0ad4f656bba9f76cb1c434ef17598
oai_identifier_str oai:ria.ua.pt:10773/18240
network_acronym_str RCAP
network_name_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository_id_str https://opendoar.ac.uk/repository/7160
spelling Realizable lists via the spectra of structured matricesPermutative matrixSymmetric matrixInverse eigenvalue problemNonnegative matrixA square matrix of order $n$ with $n\geq 2$ is called a \textit{permutative matrix} or permutative when all its rows (up to the first one) are permutations of precisely its first row. In this paper, the spectra of a class of permutative matrices are studied. In particular, spectral results for matrices partitioned into $2$-by-$2$ symmetric blocks are presented and, using these results sufficient conditions on a given list to be the list of eigenvalues of a nonnegative permutative matrix are obtained and the corresponding permutative matrices are constructed. Guo perturbations on given lists are exhibited.Elsevier2017-08-172017-08-17T00:00:00Z2018-08-17T15:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18240eng0024-379510.1016/j.laa.2017.08.007Manzaneda, CristinaAndrade, EnideRobbiano, Mariainfo: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:RCAAP2024-05-06T04:02:43Zoai:ria.ua.pt:10773/18240Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:55:23.059960Repositórios 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 via the spectra of structured matrices
title Realizable lists via the spectra of structured matrices
spellingShingle Realizable lists via the spectra of structured matrices
Manzaneda, Cristina
Permutative matrix
Symmetric matrix
Inverse eigenvalue problem
Nonnegative matrix
title_short Realizable lists via the spectra of structured matrices
title_full Realizable lists via the spectra of structured matrices
title_fullStr Realizable lists via the spectra of structured matrices
title_full_unstemmed Realizable lists via the spectra of structured matrices
title_sort Realizable lists via the spectra of structured matrices
author Manzaneda, Cristina
author_facet Manzaneda, Cristina
Andrade, Enide
Robbiano, Maria
author_role author
author2 Andrade, Enide
Robbiano, Maria
author2_role author
author
dc.contributor.author.fl_str_mv Manzaneda, Cristina
Andrade, Enide
Robbiano, Maria
dc.subject.por.fl_str_mv Permutative matrix
Symmetric matrix
Inverse eigenvalue problem
Nonnegative matrix
topic Permutative matrix
Symmetric matrix
Inverse eigenvalue problem
Nonnegative matrix
description A square matrix of order $n$ with $n\geq 2$ is called a \textit{permutative matrix} or permutative when all its rows (up to the first one) are permutations of precisely its first row. In this paper, the spectra of a class of permutative matrices are studied. In particular, spectral results for matrices partitioned into $2$-by-$2$ symmetric blocks are presented and, using these results sufficient conditions on a given list to be the list of eigenvalues of a nonnegative permutative matrix are obtained and the corresponding permutative matrices are constructed. Guo perturbations on given lists are exhibited.
publishDate 2017
dc.date.none.fl_str_mv 2017-08-17
2017-08-17T00:00:00Z
2018-08-17T15:00:00Z
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/10773/18240
url http://hdl.handle.net/10773/18240
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2017.08.007
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
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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
_version_ 1833594187970248704

Similar Items