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Chen, X., Qi, L. and Sun, D. (1998) Global and Superlinear Convergence of the Smoothing Newton Method and Its Application to General Box Constrained Variational Inequalities. Mathematics of Computation, 67, 519-540.
https://doi.org/10.1090/S0025-5718-98-00932-6

has been cited by the following article:

• TITLE: A Modified Newton Method Based on the Metric Projector for Solving SOCCVI Problem

  AUTHORS: Hao Liu, Juhe Sun, Li Wang

  KEYWORDS: Second-Order Cone, Variational Inequality, Metric Projector, Second-Order Sufficient Condition

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.4, April 6, 2022

  ABSTRACT: In this paper, based on the second-order sufficient condition, the Clarke's generalized Jacobian of the Karush-Kuhn-Tucker system of the second-order cone constrained variational inequality (SOCCVI) problem that is nonsingular is proved by us. A modified Newton method with Armijo line search is presented. Three illustrative examples are given to show how the modified Newton method works.