On a class of nonsingular matrices containing B-matrices
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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 |
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1799132191887720448 |