On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem

Bibliographic Details
Main Author: Andrade, Enide
Publication Date: 2020
Other Authors: Arrieta, Luis, Manzaneda, Cristina, Robbiano, María
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/27545
Summary: A $g$-circulant matrix $A$, is defined as a matrix of order $n$ where the elements of each row of $A$ are identical to those of the previous row, but are moved $g$ positions to the right and wrapped around. Using number theory, certain spectra of $g$-circulant real matrices are given explicitly. The obtained results are applied to Nonnegative Inverse Eigenvalue Problem to construct nonnegative, $g$-circulant matrices with given appropriated spectrum. Additionally, some $g$-circulant marices are reconstructed from its main diagonal entries.
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spelling On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problemNonnegative inverse eigenvalue problemNonnegative matrixCirculant matrixg-circulant matrixPermutative matrixA $g$-circulant matrix $A$, is defined as a matrix of order $n$ where the elements of each row of $A$ are identical to those of the previous row, but are moved $g$ positions to the right and wrapped around. Using number theory, certain spectra of $g$-circulant real matrices are given explicitly. The obtained results are applied to Nonnegative Inverse Eigenvalue Problem to construct nonnegative, $g$-circulant matrices with given appropriated spectrum. Additionally, some $g$-circulant marices are reconstructed from its main diagonal entries.Elsevier2020-02-10T18:08:43Z2020-04-01T00:00:00Z2020-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/27545eng0024-379510.1016/j.laa.2019.12.029Andrade, EnideArrieta, LuisManzaneda, 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:RCAAP2024-05-06T04:23:36Zoai:ria.ua.pt:10773/27545Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:06:51.008612Repositórios 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 On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
title On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
spellingShingle On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
Andrade, Enide
Nonnegative inverse eigenvalue problem
Nonnegative matrix
Circulant matrix
g-circulant matrix
Permutative matrix
title_short On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
title_full On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
title_fullStr On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
title_full_unstemmed On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
title_sort On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
author Andrade, Enide
author_facet Andrade, Enide
Arrieta, Luis
Manzaneda, Cristina
Robbiano, María
author_role author
author2 Arrieta, Luis
Manzaneda, Cristina
Robbiano, María
author2_role author
author
author
dc.contributor.author.fl_str_mv Andrade, Enide
Arrieta, Luis
Manzaneda, Cristina
Robbiano, María
dc.subject.por.fl_str_mv Nonnegative inverse eigenvalue problem
Nonnegative matrix
Circulant matrix
g-circulant matrix
Permutative matrix
topic Nonnegative inverse eigenvalue problem
Nonnegative matrix
Circulant matrix
g-circulant matrix
Permutative matrix
description A $g$-circulant matrix $A$, is defined as a matrix of order $n$ where the elements of each row of $A$ are identical to those of the previous row, but are moved $g$ positions to the right and wrapped around. Using number theory, certain spectra of $g$-circulant real matrices are given explicitly. The obtained results are applied to Nonnegative Inverse Eigenvalue Problem to construct nonnegative, $g$-circulant matrices with given appropriated spectrum. Additionally, some $g$-circulant marices are reconstructed from its main diagonal entries.
publishDate 2020
dc.date.none.fl_str_mv 2020-02-10T18:08:43Z
2020-04-01T00:00:00Z
2020-04-01
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/10773/27545
url http://hdl.handle.net/10773/27545
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2019.12.029
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
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