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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Sociedade Brasileira de Pesquisa Operacional
2014
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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 |
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Bofill,Walter Gómez Gómez,Juan A. |
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Bofill,Walter Gómez Gómez,Juan A. LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING |
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Bofill,Walter Gómez Gómez,Juan A. |
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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 |
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linear and nonlinear semidefinite programming |
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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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Sociedade Brasileira de Pesquisa Operacional |
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2014 |
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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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1756394181680431104 |