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On a Nonsmooth Gauss–Newton Algorithms for Solving Nonlinear Complementarity Problems

dc.contributor.authorŚmietański, Marek
dc.date.accessioned2021-09-14T11:02:25Z
dc.date.available2021-09-14T11:02:25Z
dc.date.issued2020
dc.identifier.citationŚmietański, Marek J. 2020. "On a Nonsmooth Gauss–Newton Algorithms for Solving Nonlinear Complementarity Problems" Algorithms 13, no. 8: 190. https://doi.org/10.3390/a13080190pl_PL
dc.identifier.issn1999-4893
dc.identifier.urihttp://hdl.handle.net/11089/39058
dc.description.abstractIn this paper, we propose a new version of the generalized damped Gauss–Newton method for solving nonlinear complementarity problems based on the transformation to the nonsmooth equation, which is equivalent to some unconstrained optimization problem. The B-differential plays the role of the derivative. We present two types of algorithms (usual and inexact), which have superlinear and global convergence for semismooth cases. These results can be applied to efficiently find all solutions of the nonlinear complementarity problems under some mild assumptions. The results of the numerical tests are attached as a complement of the theoretical considerations.pl_PL
dc.language.isoenpl_PL
dc.publisherMDPIpl_PL
dc.relation.ispartofseriesAlgorithms;13(8)
dc.rightsUznanie autorstwa 4.0 Międzynarodowe*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectGauss–Newton methodpl_PL
dc.subjectnonsmooth equationspl_PL
dc.subjectnonsmooth optimizationpl_PL
dc.subjectnonlinear complementarity problempl_PL
dc.subjectB-differentialpl_PL
dc.subjectsuperlinear convergencepl_PL
dc.subjectglobal convergencepl_PL
dc.titleOn a Nonsmooth Gauss–Newton Algorithms for Solving Nonlinear Complementarity Problemspl_PL
dc.typeArticlepl_PL
dc.page.number11pl_PL
dc.contributor.authorAffiliationFaculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Łódź, Polandpl_PL
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dc.identifier.doi10.3390/a13080190
dc.disciplinematematykapl_PL


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