Cramer's rule applied to flexible systems of linear equations

Detalhes bibliográficos
Autor(a) principal: Justino, Julia
Data de Publicação: 2012
Outros Autores: van den Berg, Imme
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/7229
Resumo: Abstract. Systems of linear equations, called flexible systems, with coefficients having uncertainties of type o (.) or O (.) are studied. In some cases an exact solution may not exist but a general theorem that guarantees the existence of an admissible solution, in terms of inclusion, is resented. This admissible solution is produced by Cramer’s Rule; depending on the size of the uncertainties appearing in the matrix of coefficients and in the constant term vector some adaptations may be needed.
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spelling Cramer's rule applied to flexible systems of linear equationsCramer’s RuleExternal NumbersNonstandard AnalysisAbstract. Systems of linear equations, called flexible systems, with coefficients having uncertainties of type o (.) or O (.) are studied. In some cases an exact solution may not exist but a general theorem that guarantees the existence of an admissible solution, in terms of inclusion, is resented. This admissible solution is produced by Cramer’s Rule; depending on the size of the uncertainties appearing in the matrix of coefficients and in the constant term vector some adaptations may be needed.The Electronic Journal of Linear Algebra 24, ILAS–the International Linear Algebra Society2013-01-14T10:26:34Z2013-01-142012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/7229http://hdl.handle.net/10174/7229engJulia Justino and Imme van den Berg, Cramer's rule applied to flexible systems of linear equations, Electronic Journal of Linear Algebra 24, 2012, pp. 126-152.http://www.math.technion.ac.il/iic/ela//ela-articles/articles/vol24_pp126-152.pdfjulia.justino@estsetubal.ips.ptivdb@uevora.pt333Justino, Juliavan den Berg, Immeinfo: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:RCAAP2024-01-03T18:47:16Zoai:dspace.uevora.pt:10174/7229Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:01:48.425361Repositório 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 Cramer's rule applied to flexible systems of linear equations
title Cramer's rule applied to flexible systems of linear equations
spellingShingle Cramer's rule applied to flexible systems of linear equations
Justino, Julia
Cramer’s Rule
External Numbers
Nonstandard Analysis
title_short Cramer's rule applied to flexible systems of linear equations
title_full Cramer's rule applied to flexible systems of linear equations
title_fullStr Cramer's rule applied to flexible systems of linear equations
title_full_unstemmed Cramer's rule applied to flexible systems of linear equations
title_sort Cramer's rule applied to flexible systems of linear equations
author Justino, Julia
author_facet Justino, Julia
van den Berg, Imme
author_role author
author2 van den Berg, Imme
author2_role author
dc.contributor.author.fl_str_mv Justino, Julia
van den Berg, Imme
dc.subject.por.fl_str_mv Cramer’s Rule
External Numbers
Nonstandard Analysis
topic Cramer’s Rule
External Numbers
Nonstandard Analysis
description Abstract. Systems of linear equations, called flexible systems, with coefficients having uncertainties of type o (.) or O (.) are studied. In some cases an exact solution may not exist but a general theorem that guarantees the existence of an admissible solution, in terms of inclusion, is resented. This admissible solution is produced by Cramer’s Rule; depending on the size of the uncertainties appearing in the matrix of coefficients and in the constant term vector some adaptations may be needed.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01T00:00:00Z
2013-01-14T10:26:34Z
2013-01-14
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/10174/7229
http://hdl.handle.net/10174/7229
url http://hdl.handle.net/10174/7229
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Julia Justino and Imme van den Berg, Cramer's rule applied to flexible systems of linear equations, Electronic Journal of Linear Algebra 24, 2012, pp. 126-152.
http://www.math.technion.ac.il/iic/ela//ela-articles/articles/vol24_pp126-152.pdf
julia.justino@estsetubal.ips.pt
ivdb@uevora.pt
333
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv The Electronic Journal of Linear Algebra 24, ILAS–the International Linear Algebra Society
publisher.none.fl_str_mv The Electronic Journal of Linear Algebra 24, ILAS–the International Linear Algebra Society
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
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