Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 152-158.

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A Smoothing Newton Method for the Box Constrained Variational Inequality Problems

  

  1. 1. Department of Computer Science, College of Fujian Jiangxia  2. School of Mathematics and Computer Science, Fujian Normal University 

  • Received:2011-01-05 Online:2012-03-30 Published:2023-04-10
  • About author:XIE Ya-jun(1980-), male, native of Huian, Fujian, a lecturer of College of Fujian Jiangxia, engages in the theory and algorithms of optimization; MA Chang-feng(1962-), male, native of Longhui, Hunan, a professor of Fujian Normal University, Ph.D., engages in the theory of optimum and algorithm, lattice boltzmann method, etc.
  • Supported by:
    Supported by the NNSF of China(11071041); Supported by the Fujian Natural Science Foundation(2009J01002); Supported by the Fujian Department of Education Foundation(JA11270)

Abstract: The box constrained variational inequality problem can be reformulated as a nonsmooth equation by using median operator. In this paper, we present a smoothing Newton method for solving the box constrained variational inequality problem based on a new smoothing approximation function. The proposed algorithm is proved to be well defined and convergent globally under weaker conditions.

Key words: median operator, variational inequality problem, smoothing Newton method; global convergence

CLC Number: