The Hahn Banach theorem in convex programming

Bibliographic Details
Main Author: Ferreira, M.
Publication Date: 2015
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10071/25160
Summary: Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application of these results in convexprogramming, an important tool in operations research, finance, management and economics.
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spelling The Hahn Banach theorem in convex programmingHahn-Banach theoremKuhn-Tucker theorem.Separation theoremsConvex programmingSeparation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application of these results in convexprogramming, an important tool in operations research, finance, management and economics.Institute of Mathematics and Physics, Faculty of Mechanical Engineering2022-04-20T11:45:42Z2015-01-01T00:00:00Z20152022-04-20T12:44:55Zconference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10071/25160eng978-80-227-4314-3Ferreira, M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-07T03:33:41Zoai:repositorio.iscte-iul.pt:10071/25160Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:27:39.432115Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The Hahn Banach theorem in convex programming
title The Hahn Banach theorem in convex programming
spellingShingle The Hahn Banach theorem in convex programming
Ferreira, M.
Hahn-Banach theorem
Kuhn-Tucker theorem.
Separation theorems
Convex programming
title_short The Hahn Banach theorem in convex programming
title_full The Hahn Banach theorem in convex programming
title_fullStr The Hahn Banach theorem in convex programming
title_full_unstemmed The Hahn Banach theorem in convex programming
title_sort The Hahn Banach theorem in convex programming
author Ferreira, M.
author_facet Ferreira, M.
author_role author
dc.contributor.author.fl_str_mv Ferreira, M.
dc.subject.por.fl_str_mv Hahn-Banach theorem
Kuhn-Tucker theorem.
Separation theorems
Convex programming
topic Hahn-Banach theorem
Kuhn-Tucker theorem.
Separation theorems
Convex programming
description Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application of these results in convexprogramming, an important tool in operations research, finance, management and economics.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2015
2022-04-20T11:45:42Z
2022-04-20T12:44:55Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10071/25160
url http://hdl.handle.net/10071/25160
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-80-227-4314-3
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 Institute of Mathematics and Physics, Faculty of Mechanical Engineering
publisher.none.fl_str_mv Institute of Mathematics and Physics, Faculty of Mechanical Engineering
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833597430432530432

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