Please use this identifier to cite or link to this item: https://doi.org/10.1023/A:1014861331301
Title: Smoothing functions and smoothing newton method for complementarity and variational inequality problems
Authors: Qi, L.
Sun, D. 
Keywords: computable smoothing functions
quadratic convergence
smoothing Newton methods
Variational inequality problems
Issue Date: Apr-2002
Citation: Qi, L., Sun, D. (2002-04). Smoothing functions and smoothing newton method for complementarity and variational inequality problems. Journal of Optimization Theory and Applications 113 (1) : 121-147. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1014861331301
Abstract: This paper provides for the first time some computable smoothing functions for variational inequality problems with general constraints. This paper proposes also a new version of the smoothing Newton method and establishes its global and superlinear (quadratic) convergence under conditions weaker than those previously used in the literature. These are achieved by introducing a general definition for smoothing functions, which include almost all the existing smoothing functions as special cases.
Source Title: Journal of Optimization Theory and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/104140
ISSN: 00223239
DOI: 10.1023/A:1014861331301
Appears in Collections:Staff Publications

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