LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING

This paper provides a short introduction to optimization problems with semidefinite constraints. Basic duality and optimality conditions are presented. For linear semidefinite programming some advances by dealing with degeneracy and the semidefinite facial reduction are discussed. Two relatively recent areas of application are presented. Finally a short overview of relevant literature on algorithmic approaches for efficiently solving linear and nonlinear semidefinite programming is provided.

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Main Authors: Bofill,Walter Gómez, Gómez,Juan A.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2014
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382014000300495
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spelling oai:scielo:S0101-743820140003004952014-11-12LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMINGBofill,Walter GómezGómez,Juan A. Semidefinite programming nonlinear semidefinite programming Euclidean completion matrices This paper provides a short introduction to optimization problems with semidefinite constraints. Basic duality and optimality conditions are presented. For linear semidefinite programming some advances by dealing with degeneracy and the semidefinite facial reduction are discussed. Two relatively recent areas of application are presented. Finally a short overview of relevant literature on algorithmic approaches for efficiently solving linear and nonlinear semidefinite programming is provided.info:eu-repo/semantics/openAccessSociedade Brasileira de Pesquisa OperacionalPesquisa Operacional v.34 n.3 20142014-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382014000300495en10.1590/0101-7438.2014.034.03.0495
institution SCIELO
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country Brasil
countrycode BR
component Revista
access En linea
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region America del Sur
libraryname SciELO
language English
format Digital
author Bofill,Walter Gómez
Gómez,Juan A.
spellingShingle Bofill,Walter Gómez
Gómez,Juan A.
LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
author_facet Bofill,Walter Gómez
Gómez,Juan A.
author_sort Bofill,Walter Gómez
title LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
title_short LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
title_full LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
title_fullStr LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
title_full_unstemmed LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
title_sort linear and nonlinear semidefinite programming
description This paper provides a short introduction to optimization problems with semidefinite constraints. Basic duality and optimality conditions are presented. For linear semidefinite programming some advances by dealing with degeneracy and the semidefinite facial reduction are discussed. Two relatively recent areas of application are presented. Finally a short overview of relevant literature on algorithmic approaches for efficiently solving linear and nonlinear semidefinite programming is provided.
publisher Sociedade Brasileira de Pesquisa Operacional
publishDate 2014
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382014000300495
work_keys_str_mv AT bofillwaltergomez linearandnonlinearsemidefiniteprogramming
AT gomezjuana linearandnonlinearsemidefiniteprogramming
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