Title: Solving Nonsmooth Equations by Means of Quasi-Newton Methods with Globalization
Abstract: Recent Advances in Nonsmooth Optimization, pp. 121-140 (1995) No AccessSolving Nonsmooth Equations by Means of Quasi-Newton Methods with GlobalizationMárcia A. Gomes-Ruggiero, José Mario Martínez, and Sandra Augusta SantosMárcia A. Gomes-RuggieroDepartment of Applied Mathematics, State University of Campinas, CP 6065, 13081 Campinas SP, Brazil, José Mario MartínezDepartment of Applied Mathematics, State University of Campinas, CP 6065, 13081 Campinas SP, Brazil, and Sandra Augusta SantosDepartment of Applied Mathematics, State University of Campinas, CP 6065, 13081 Campinas SP, Brazilhttps://doi.org/10.1142/9789812812827_0008Cited by:10 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: We consider the utilization of quasi-Newton methods for solving nonlinear systems of equations, without smoothness assumptions. In order to improve the global convergence properties of the algorithms, we use a globalization strategy based on a merit function. We adopt a tolerant procedure that permits a nonmonotone behavior of the merit function. We test our methods with a collection of large scale nonsmooth systems originated in nonlinear complementarity problems. FiguresReferencesRelatedDetailsCited By 10A Levenberg–Marquardt Method for Nonlinear Complementarity Problems Based on Nonmonotone Trust Region and Line Search TechniquesBin Fan, Changfeng Ma, Aidi Wu and Chao Wu17 May 2018 | Mediterranean Journal of Mathematics, Vol. 15, No. 3A nonmonotone Jacobian smoothing inexact Newton method for NCPSanja Rapajić and Zoltan Papp11 October 2016 | Computational Optimization and Applications, Vol. 66, No. 3A nonmonotone Levenberg–Marquardt method for nonlinear complementarity problems under local error boundBin Fan19 March 2015 | Computational and Applied Mathematics, Vol. 36, No. 1Least Change Secant Update Methods for Nonlinear Complementarity ProblemFavián Arenas A, Héctor J Martínez and Rosana Pérez M30 January 2015 | Ingeniería y Ciencia, Vol. 11, No. 21A non-monotone inexact regularized smoothing Newton method for solving nonlinear complementarity problemsJianguang Zhu and Binbin Hao1 Nov 2011 | International Journal of Computer Mathematics, Vol. 88, No. 16Globally convergent Jacobian smoothing inexact Newton methods for NCPNataša Krejić and Sanja Rapajić31 October 2007 | Computational Optimization and Applications, Vol. 41, No. 2Solution of Finite-Dimensional Variational Inequalities Using Smooth Optimization with Simple BoundsR. Andreani, A. Friedlander and J. M. Martínez1 Sep 1997 | Journal of Optimization Theory and Applications, Vol. 94, No. 3A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problemsFrancisco Facchinei and Christian Kanzow1 Mar 1997 | Mathematical Programming, Vol. 76, No. 3Convergence of the BFGS Method for $LC^1 $ Convex Constrained OptimizationXiaojun Chen1 Nov 1996 | SIAM Journal on Control and Optimization, Vol. 34, No. 6Semismoothness and Superlinear Convergence in Nonsmooth Optimization and Nonsmooth EquationsJiang Houyuan, Qi Liqun, Chen Xiaojun and Sun Defeng1 Jan 1996 Recent Advances in Nonsmooth OptimizationMetrics History PDF download
Publication Year: 1995
Publication Date: 1995-09-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 19
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