On a class of nonsingular matrices containing B-matrices

Detalhes bibliográficos
Autor(a) principal: Araújo, C. Mendes
Data de Publicação: 2019
Outros Autores: Gonçalves, Suzana Mendes
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/1822/62812
Resumo: A real matrix with positive row sums and all its off-diagonal elements bounded above by their corresponding row means was called in [12] a B-matrix. The classes of doubly B-matrices and of $B^R_{\pi}$-matrices were introduced in [13] and [11] as generalizations of the previous class. We present characterizations and properties of $B^R_{\pi}$-–matrices and we consider the problem of when a subdirect sum of two matrices in this class lies in the same class.
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spelling On a class of nonsingular matrices containing B-matricesB–matrix$B^R_{\pi}$-matrixP-matrixSubdirect sumB-pi(R)-matrixB –matrix π RCiências Naturais::MatemáticasScience & TechnologyA real matrix with positive row sums and all its off-diagonal elements bounded above by their corresponding row means was called in [12] a B-matrix. The classes of doubly B-matrices and of $B^R_{\pi}$-matrices were introduced in [13] and [11] as generalizations of the previous class. We present characterizations and properties of $B^R_{\pi}$-–matrices and we consider the problem of when a subdirect sum of two matrices in this class lies in the same class.This research was financed by Portuguese Funds through FCT - “Fundação para a Ciência e Tecnologia”, within the project UID/MAT/00013/2013ElsevierUniversidade do MinhoAraújo, C. MendesGonçalves, Suzana Mendes2019-102019-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/62812eng0024-379510.1016/j.laa.2019.05.015https://www.sciencedirect.com/science/article/pii/S0024379519302241info: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:RCAAP2023-07-21T11:54:47Zoai:repositorium.sdum.uminho.pt:1822/62812Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:44:14.968955Repositório 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 On a class of nonsingular matrices containing B-matrices
title On a class of nonsingular matrices containing B-matrices
spellingShingle On a class of nonsingular matrices containing B-matrices
Araújo, C. Mendes
B–matrix
$B^R_{\pi}$-matrix
P-matrix
Subdirect sum
B-pi(R)-matrix
B –matrix π R
Ciências Naturais::Matemáticas
Science & Technology
title_short On a class of nonsingular matrices containing B-matrices
title_full On a class of nonsingular matrices containing B-matrices
title_fullStr On a class of nonsingular matrices containing B-matrices
title_full_unstemmed On a class of nonsingular matrices containing B-matrices
title_sort On a class of nonsingular matrices containing B-matrices
author Araújo, C. Mendes
author_facet Araújo, C. Mendes
Gonçalves, Suzana Mendes
author_role author
author2 Gonçalves, Suzana Mendes
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Araújo, C. Mendes
Gonçalves, Suzana Mendes
dc.subject.por.fl_str_mv B–matrix
$B^R_{\pi}$-matrix
P-matrix
Subdirect sum
B-pi(R)-matrix
B –matrix π R
Ciências Naturais::Matemáticas
Science & Technology
topic B–matrix
$B^R_{\pi}$-matrix
P-matrix
Subdirect sum
B-pi(R)-matrix
B –matrix π R
Ciências Naturais::Matemáticas
Science & Technology
description A real matrix with positive row sums and all its off-diagonal elements bounded above by their corresponding row means was called in [12] a B-matrix. The classes of doubly B-matrices and of $B^R_{\pi}$-matrices were introduced in [13] and [11] as generalizations of the previous class. We present characterizations and properties of $B^R_{\pi}$-–matrices and we consider the problem of when a subdirect sum of two matrices in this class lies in the same class.
publishDate 2019
dc.date.none.fl_str_mv 2019-10
2019-10-01T00:00:00Z
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 https://hdl.handle.net/1822/62812
url https://hdl.handle.net/1822/62812
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2019.05.015
https://www.sciencedirect.com/science/article/pii/S0024379519302241
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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