Cramer’s Rule applied to flexible systems of linear equations

Detalhes bibliográficos
Autor(a) principal: Justino, Júlia
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/10400.26/6101
Resumo: 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 analysisSystems 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.International Linear Algebra SocietyRepositório ComumJustino, Júliavan den Berg, Imme2014-03-18T14:44:52Z2012-062012-06-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.26/6101eng1081-3810info: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:RCAAP2023-11-21T09:50:35Zoai:comum.rcaap.pt:10400.26/6101Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:06:36.975464Repositório 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, Júlia
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, Júlia
author_facet Justino, Júlia
van den Berg, Imme
author_role author
author2 van den Berg, Imme
author2_role author
dc.contributor.none.fl_str_mv Repositório Comum
dc.contributor.author.fl_str_mv Justino, Júlia
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 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 2012-06
2012-06-01T00:00:00Z
2014-03-18T14:44:52Z
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/10400.26/6101
url http://hdl.handle.net/10400.26/6101
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1081-3810
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 International Linear Algebra Society
publisher.none.fl_str_mv 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
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