Article citationsMore>>

Smale, S. and Gleason, A.M. (1987) Algorithms for Solving Equations. In: Proceedings of the International Congress of Mathematicians, American Mathematical Society, Providence, 172-195.

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.