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An extension of a variant of a predictor-corrector primal-dual method from linear programming to semidefinite programming

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Resumo:We extend a variant of a predictor-corrector primal-dual method for Linear Programming to Semidefinite Programming. Two versions are proposed. One of the versions uses the HKM direction and the other the NT direction. We present the algorithms associated with these versions and the computational experience using the SDPLIB 1.2 collection of Semidefinite Programming test problems. We show that, in general, the algorithm using the HKM direction is the best and is also better than the one relative to the classical method.
Autores principais:Bastos,F.
Outros Autores:Teixeira,A.
Assunto:Semidefinite Programming predictor-corrector interior point variant HKM direction NT direction
Ano:2005
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Fundação para a Ciência e Tecnologia
Idioma:inglês
Origem:SciELO Portugal
Descrição
Resumo:We extend a variant of a predictor-corrector primal-dual method for Linear Programming to Semidefinite Programming. Two versions are proposed. One of the versions uses the HKM direction and the other the NT direction. We present the algorithms associated with these versions and the computational experience using the SDPLIB 1.2 collection of Semidefinite Programming test problems. We show that, in general, the algorithm using the HKM direction is the best and is also better than the one relative to the classical method.