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

dc.contributor.authorMartins, Maria do Carmo
dc.contributor.authorMartins, Francisco
dc.date.accessioned2014-01-15T16:42:18Z
dc.date.available2014-01-15T16:42:18Z
dc.date.issued2013-06
dc.date.updated2013-12-27T17:45:28Z
dc.description1st Annual International Interdisciplinary Conference AIIC 2013, 24-26 April, Azores Islands, Portugal. Texto publicado na sequência do encontro realizado na Universidade dos Açores.por
dc.description.abstractThis 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.en
dc.identifier.citationMartins, 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.en
dc.identifier.issn1857-7881 (Print)
dc.identifier.issn1857-7431 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.3/2605
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherEuropean Scientific Institute (www.eujournal.org)por
dc.relation.publisherversionhttp://eujournal.org/index.php/esj/article/view/1430por
dc.subjectConstrained Optimization Problemsen
dc.subjectOctave Programming Languageen
dc.subjectLagrange Multipliers Methoden
dc.titleOn using SAGE to solve constrained optimization problems applying the Lagrange multipliers methoden
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage54por
oaire.citation.issue(3)por
oaire.citation.startPage49por
oaire.citation.titleEuropean Scientific Journalen
oaire.citation.volumeSpecialpor
rcaap.rightsopenAccesspor
rcaap.typearticlepor

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