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Article: A hybrid inexact Logarithmic-Quadratic Proximal method for nonlinear complementarity problems

TitleA hybrid inexact Logarithmic-Quadratic Proximal method for nonlinear complementarity problems
Authors
KeywordsLogarithmic-Quadratic Proximal method
Nonlinear complementarity problem
Monotone mapping
Issue Date2006
Citation
Journal of Mathematical Analysis and Applications, 2006, v. 322, n. 1, p. 276-287 How to Cite?
AbstractInspired by the Logarithmic-Quadratic Proximal method [A. Auslender, M. Teboulle, S. Ben-Tiba, A logarithmic-quadratic proximal method for variational inequalities, Comput. Optim. Appl. 12 (1999) 31-40], we present a new prediction-correction method for solving the nonlinear complementarity problems. In our method, an intermediate point is produced by approximately solving a nonlinear equation system based on the Logarithmic-Quadratic Proximal method; and the new iterate is obtained by convex combination of the previous point and the one generated by the improved extragradient method at each iteration. The proposed method allows for constant relative errors and this yields a more practical Logarithmic-Quadratic Proximal type method. The global convergence is established under mild conditions. Preliminary numerical results indicate that the method is effective for large-scale nonlinear complementarity problems. © 2005 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/250909
ISSN
2020 Impact Factor: 1.583
2020 SCImago Journal Rankings: 0.951
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorXu, Ya-
dc.contributor.authorHe, Bingsheng-
dc.contributor.authorYuan, Xiaoming-
dc.date.accessioned2018-02-01T01:54:03Z-
dc.date.available2018-02-01T01:54:03Z-
dc.date.issued2006-
dc.identifier.citationJournal of Mathematical Analysis and Applications, 2006, v. 322, n. 1, p. 276-287-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10722/250909-
dc.description.abstractInspired by the Logarithmic-Quadratic Proximal method [A. Auslender, M. Teboulle, S. Ben-Tiba, A logarithmic-quadratic proximal method for variational inequalities, Comput. Optim. Appl. 12 (1999) 31-40], we present a new prediction-correction method for solving the nonlinear complementarity problems. In our method, an intermediate point is produced by approximately solving a nonlinear equation system based on the Logarithmic-Quadratic Proximal method; and the new iterate is obtained by convex combination of the previous point and the one generated by the improved extragradient method at each iteration. The proposed method allows for constant relative errors and this yields a more practical Logarithmic-Quadratic Proximal type method. The global convergence is established under mild conditions. Preliminary numerical results indicate that the method is effective for large-scale nonlinear complementarity problems. © 2005 Elsevier Inc. All rights reserved.-
dc.languageeng-
dc.relation.ispartofJournal of Mathematical Analysis and Applications-
dc.subjectLogarithmic-Quadratic Proximal method-
dc.subjectNonlinear complementarity problem-
dc.subjectMonotone mapping-
dc.titleA hybrid inexact Logarithmic-Quadratic Proximal method for nonlinear complementarity problems-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jmaa.2005.08.011-
dc.identifier.scopuseid_2-s2.0-33646683813-
dc.identifier.volume322-
dc.identifier.issue1-
dc.identifier.spage276-
dc.identifier.epage287-
dc.identifier.eissn1096-0813-
dc.identifier.isiWOS:000238983700022-
dc.identifier.issnl0022-247X-

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