On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method

Detalhes bibliográficos
Autor(a) principal: Martins, Maria do Carmo
Data de Publicação: 2013
Outros Autores: Martins, Francisco
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.3/2605
Resumo: 1st Annual International Interdisciplinary Conference AIIC 2013, 24-26 April, Azores Islands, Portugal. Texto publicado na sequência do encontro realizado na Universidade dos Açores.
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spelling On using SAGE to solve constrained optimization problems applying the Lagrange multipliers methodConstrained Optimization ProblemsOctave Programming LanguageLagrange Multipliers Method1st Annual International Interdisciplinary Conference AIIC 2013, 24-26 April, Azores Islands, Portugal. Texto publicado na sequência do encontro realizado na Universidade dos Açores.This paper combines Calculus and Programming to solve constrained optimization problems common in many areas, notably in Economics. It uses Lagrange multipliers, a well-known technique for maximizing (or minimizing) functions, and the free open-source mathematics software system Sage to compute the maximum (minimum) automatically. Moreover, Sage can be used interactively to work out the solution and to graphically interpret the results, which we find a valuable and practical approach in teaching such techniques to the undergraduate level. In this paper we carry out an exercise describing how these three interdisciplinary areas can work together.European Scientific Institute (www.eujournal.org)Repositório da Universidade dos AçoresMartins, Maria do CarmoMartins, Francisco2014-01-15T16:42:18Z2013-062013-12-27T17:45:28Z2013-06-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.3/2605engMartins, Maria do Carmo; Martins, Francisco (2013). "On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method", «European Scientific Institute: European Scientific Journal», special edition (3), 49-54. ISSN 1857-7431.1857-7881 (Print)info: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:RCAAP2022-12-20T14:30:25Zoai:repositorio.uac.pt:10400.3/2605Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:25:13.836657Repositório 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 using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
title On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
spellingShingle On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
Martins, Maria do Carmo
Constrained Optimization Problems
Octave Programming Language
Lagrange Multipliers Method
title_short On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
title_full On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
title_fullStr On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
title_full_unstemmed On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
title_sort On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method
author Martins, Maria do Carmo
author_facet Martins, Maria do Carmo
Martins, Francisco
author_role author
author2 Martins, Francisco
author2_role author
dc.contributor.none.fl_str_mv Repositório da Universidade dos Açores
dc.contributor.author.fl_str_mv Martins, Maria do Carmo
Martins, Francisco
dc.subject.por.fl_str_mv Constrained Optimization Problems
Octave Programming Language
Lagrange Multipliers Method
topic Constrained Optimization Problems
Octave Programming Language
Lagrange Multipliers Method
description 1st Annual International Interdisciplinary Conference AIIC 2013, 24-26 April, Azores Islands, Portugal. Texto publicado na sequência do encontro realizado na Universidade dos Açores.
publishDate 2013
dc.date.none.fl_str_mv 2013-06
2013-12-27T17:45:28Z
2013-06-01T00:00:00Z
2014-01-15T16:42:18Z
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/10400.3/2605
url http://hdl.handle.net/10400.3/2605
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Martins, Maria do Carmo; Martins, Francisco (2013). "On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method", «European Scientific Institute: European Scientific Journal», special edition (3), 49-54. ISSN 1857-7431.
1857-7881 (Print)
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 European Scientific Institute (www.eujournal.org)
publisher.none.fl_str_mv European Scientific Institute (www.eujournal.org)
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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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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