TP perturbation of TN matrices and totally positive directions

Detalhes bibliográficos
Autor(a) principal: Johnson, Charles R.
Data de Publicação: 2016
Outros Autores: Zhang, Yulin
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/39549
Resumo: Here, we define and consider (linear) TP-directions and TP-paths for a totally nonnegative matrix, in an effort to more deeply understand perturbation of a TN matrix to a TP matrix. We give circumstances in which a TP-direction exists and an example to show that they do not always exist. A strategy to give (nonlinear) TP-paths is given (and applied to this example). A long term goal is to understand the sparsest TP-perturbation for application to completion problems.
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spelling TP perturbation of TN matrices and totally positive directionsPerturbationTotally nonnegative matrixTotally positive matrixTP-directionTP-pathCiências Naturais::MatemáticasScience & TechnologyHere, we define and consider (linear) TP-directions and TP-paths for a totally nonnegative matrix, in an effort to more deeply understand perturbation of a TN matrix to a TP matrix. We give circumstances in which a TP-direction exists and an example to show that they do not always exist. A strategy to give (nonlinear) TP-paths is given (and applied to this example). A long term goal is to understand the sparsest TP-perturbation for application to completion problems.Supported by FEDER Funds through Programa Operacional Factores de Competitividade - COMPETE and by Portuguese Funds through FCT - “Fundação para a Ciência e a Tecnologia”, within the Project PEst-OE/MAT/UI0013/2014.ElsevierUniversidade do MinhoJohnson, Charles R.Zhang, Yulin20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/39549eng0024-379510.1016/j.laa.2015.10.025www.elsevier.com/locate/laainfo: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:RCAAP2023-07-21T12:34:11Zoai:repositorium.sdum.uminho.pt:1822/39549Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:29:49.345898Repositório 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 TP perturbation of TN matrices and totally positive directions
title TP perturbation of TN matrices and totally positive directions
spellingShingle TP perturbation of TN matrices and totally positive directions
Johnson, Charles R.
Perturbation
Totally nonnegative matrix
Totally positive matrix
TP-direction
TP-path
Ciências Naturais::Matemáticas
Science & Technology
title_short TP perturbation of TN matrices and totally positive directions
title_full TP perturbation of TN matrices and totally positive directions
title_fullStr TP perturbation of TN matrices and totally positive directions
title_full_unstemmed TP perturbation of TN matrices and totally positive directions
title_sort TP perturbation of TN matrices and totally positive directions
author Johnson, Charles R.
author_facet Johnson, Charles R.
Zhang, Yulin
author_role author
author2 Zhang, Yulin
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Johnson, Charles R.
Zhang, Yulin
dc.subject.por.fl_str_mv Perturbation
Totally nonnegative matrix
Totally positive matrix
TP-direction
TP-path
Ciências Naturais::Matemáticas
Science & Technology
topic Perturbation
Totally nonnegative matrix
Totally positive matrix
TP-direction
TP-path
Ciências Naturais::Matemáticas
Science & Technology
description Here, we define and consider (linear) TP-directions and TP-paths for a totally nonnegative matrix, in an effort to more deeply understand perturbation of a TN matrix to a TP matrix. We give circumstances in which a TP-direction exists and an example to show that they do not always exist. A strategy to give (nonlinear) TP-paths is given (and applied to this example). A long term goal is to understand the sparsest TP-perturbation for application to completion problems.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
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 http://hdl.handle.net/1822/39549
url http://hdl.handle.net/1822/39549
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2015.10.025
www.elsevier.com/locate/laa
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
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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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