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Type: Artigo de periódico
Title: Box-constrained Minimization Reformulations Of Complementarity Problems In Second-order Cones
Author: Andreani R.
Friedlander A.
Mello M.P.
Santos S.A.
Abstract: Reformulations of a generalization of a second-order cone complementarity problem (GSOCCP) as optimization problems are introduced, which preserve differentiability. Equivalence results are proved in the sense that the global minimizers of the reformulations with zero objective value are solutions to the GSOCCP and vice versa. Since the optimization problems involved include only simple constraints, a whole range of minimization algorithms may be used to solve the equivalent problems. Taking into account that optimization algorithms usually seek stationary points, a theoretical result is established that ensures equivalence between stationary points of the reformulation and solutions to the GSOCCP. Numerical experiments are presented that illustrate the advantages and disadvantages of the reformulations. © 2007 Springer Science+Business Media, Inc.
Rights: fechado
Identifier DOI: 10.1007/s10898-006-9109-x
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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