Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/11017
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: 2002
Publisher: Springer
Source: Journal of optimization theory and applications, 2002, v. 113, no. 1, p. 121-147 How to cite?
Journal: Journal of optimization theory and applications 
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.
URI: http://hdl.handle.net/10397/11017
ISSN: 0022-3239
EISSN: 1573-2878
DOI: 10.1023/A:1014861331301
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